Add gnal 50ft v1 and required dependency files
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include <./threads.scad>;
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//https://www.thingiverse.com/thing:186660
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include <./path_extrude.scad>;
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$fn = 20;
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H = 9.71;
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REEL_H = 42;
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REEL_D = 225.67 + .4;
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REEL_OUTER_WALL_H = 7.5;
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REEL_OUTER_WALL_W = 5.9;
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REEL_INNER_D = 50;
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REEL_INNER_H = 7.5;
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REEL_INNER_WALL_W = 20;
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REEL_MIDDLE_D = ((REEL_D - REEL_INNER_D) / 2) + REEL_INNER_D;
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REEL_MIDDLE_WALL_H = 7.5;
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REEL_MIDDLE_WALL_W = 3;
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SPOKE_COUNT = 24;
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OD = 10;
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PITCH = 1.5;
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THREAD = 1.6;
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LEN = 21;
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/**
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* Frame which the bottom of the spiral reel is mounted to.
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*/
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module reel_frame () {
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//outer wall
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difference () {
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cylinder(r = REEL_D / 2, h = REEL_OUTER_WALL_H, center = true);
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cylinder(r = (REEL_D / 2) - REEL_OUTER_WALL_W, h = REEL_OUTER_WALL_H + 1, center = true);
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}
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difference () {
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cylinder(r = REEL_MIDDLE_D / 2, h = REEL_MIDDLE_WALL_H, center = true);
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cylinder(r = (REEL_MIDDLE_D / 2) - REEL_MIDDLE_WALL_W, h = REEL_MIDDLE_WALL_H + 1, center = true);
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}
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//inner wall
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difference () {
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cylinder(r = REEL_INNER_D / 2, h = REEL_INNER_H, center = true);
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cylinder(r = (REEL_INNER_D / 2) - REEL_INNER_WALL_W, h = REEL_INNER_H + 1, center = true);
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}
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//standoff
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B = 8.15;
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D = 10.63;
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OUTER = ((D * 2) + B) / 2;
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INNER = B / 2;
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translate ([0, 0, 4]) {
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difference () {
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cylinder(r = OUTER, h = 8, center = true);
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cylinder(r = INNER, h = 8 + 1, center = true);
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translate([0, 0, -8]) metric_thread (diameter=OD, pitch=PITCH, thread_size = THREAD, length=LEN);
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}
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translate([0, 13, 0]) rotate([0, 0, 45]) cube([8, 8, 8], center = true);
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}
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//spokes
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spokes();
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rotate([0, 0, 360 / (SPOKE_COUNT * 2)]) {
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difference() {
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spokes();
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cylinder(r = REEL_MIDDLE_D / 2, h = REEL_MIDDLE_WALL_H + 1, center = true);
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}
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}
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}
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/**
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* Spokes structure for the spiral reel frame
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*/
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module spokes () {
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for (i = [0 : SPOKE_COUNT]) {
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rotate([0, 0, i * (360 / SPOKE_COUNT)]) {
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translate([0, (REEL_INNER_D / 2) + ((REEL_D - REEL_INNER_D) / 4) - 1, 0]) {
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cube([3, (REEL_D - REEL_INNER_D) / 2, REEL_OUTER_WALL_H], center = true);
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}
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}
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}
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}
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/**
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* The bottom spiral
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*/
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module spiral_bottom_old () {
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union () {
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difference () {
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translate([0, 0, (-(H - REEL_OUTER_WALL_H) / 2) - .05]) reel_frame();
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}
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rotate([0, 0, 270]) scale([-1, 1, 1]) spiral();
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}
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}
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/**
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* Only needed for 50ft model, not the current target ATM.
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*/
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module spiral_top_old () {
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union () {
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difference () {
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translate([0, 0, (-(H - REEL_OUTER_WALL_H) / 2) - .05]) reel_frame();
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}
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rotate([0, 0, 270]) scale([-1, 1, 1]) spiral();
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}
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}
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/**
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* Render all spiral facets for as many rotations as supplied
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Using new module
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*/
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module spiral (START_D = 50, SPIRALS = 39) {
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//STOP_D = 100;
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SPACING = 0.86;//1.34;
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TOP_T = 0.86; //thickness
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BOTTOM_T = 1.4;
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START_R = START_D / 2;
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union () {
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for (i = [0 : $fn]) {
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rotate ([0, 0, i * (360 / $fn)]) {
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for (x = [0: (SPIRALS - 1)]) {
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spiral_facet(i, x, START_R, SPACING, BOTTOM_T, TOP_T, H);
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}
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}
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}
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}
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}
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/**
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* Generates a single face of the spiral, in this case a trapazoidal
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* shape. Issues are (1) performance (maybe use of hull()) and (2) all
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* facet lenths are the same, despite the diameter. This means that
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* there are excessive numbers of facets for the smaller spirals to
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* compensate for the number of facets needed for the outer spiral.
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*/
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module spiral_facet (i, x, START_R, SPACING, BOTTOM_T, TOP_T, H) {
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STEP_SIZE = ((SPACING + BOTTOM_T) / $fn);
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STEP_OFFSET = i * STEP_SIZE;
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SPIRAL_START_OFFSET = (x * (SPACING + BOTTOM_T));
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ACTUAL_R = START_R + SPIRAL_START_OFFSET + STEP_OFFSET;
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L = 2 * (ACTUAL_R * tan((360 / $fn) / 2));
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ANGLE = -atan( STEP_SIZE / (L / 2) ) / 2;
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OFFSET = START_R - (BOTTOM_T / 2) + SPIRAL_START_OFFSET + STEP_OFFSET;
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translate ([OFFSET, 0, - H / 2]) {
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rotate ([0, 0, ANGLE]) {
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//replace hull for quick render?
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//test spiral lib
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hull () {
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translate([0, 0, H])
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cube([TOP_T, L, 0.1], center=true);
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cube([BOTTOM_T, L, 0.1], center=true);
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}
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}
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}
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}
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/**
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* Generates an arc with a diameter, width, height and total angle.
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*/
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module arc (D, W, H, ANGLE) {
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R = D / 2;
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difference () {
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cylinder(r = R, h = H, center = true);
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cylinder(r = R - W, h = H + 1, center = true);
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if (ANGLE <= 90) {
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translate([-R, -R, 0]) cube([D, D, H + 1], center=true);
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translate([-R, R, 0]) cube([D, D, H + 1], center=true);
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translate([R, -R, 0]) cube([D, D, H + 1], center=true);
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rotate ([0, 0, ANGLE]) {
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translate([R, R, 0]) {
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cube([D, D, H + 1], center=true);
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}
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}
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} else if (ANGLE <= 180) {
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translate([-R, -R, 0]) cube([D, D, H + 1], center=true);
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translate([R, -R, 0]) cube([D, D, H + 1], center=true);
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rotate ([0, 0, ANGLE]) {
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translate([R, R, 0]) {
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cube([D, D, H + 1], center=true);
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}
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}
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} else if (ANGLE <= 270) {
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translate([R, -R, 0]) cube([D, D, H + 1], center=true);
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rotate ([0, 0, ANGLE]) {
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translate([R, R, 0]) {
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cube([D, D, H + 1], center=true);
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}
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}
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} else if (ANGLE <= 360) {
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difference () {
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union () {
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difference () {
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cylinder(r = R + 1, h = H + 1, center = true);
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cylinder(r = R - W - 1, h = H + 2, center = true);
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}
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}
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scale ([1, -1, 1]) {
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translate([-R, -R, 0]) cube([D, D, H + 1], center=true);
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translate([-R, R, 0]) cube([D, D, H + 1], center=true);
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translate([R, -R, 0]) cube([D, D, H + 1], center=true);
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rotate ([0, 0, 360 - ANGLE]) {
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translate([R, R, 0]) {
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cube([D, D, H + 1], center=true);
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}
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}
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}
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}
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}
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}
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}
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module film () {
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//sample film
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arc(REEL_D - 4, .5, 16, 100);
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}
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module spiral_top_old_debug (half = false, top = false) {
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difference () {
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translate([0, 0, 37]) rotate([180, 0, 180]) spiral_top_old();
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if (half) {
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rotate([0, 0, 80]) translate([50, 0, 0]) cube([100, 100, 100], center = true); //half
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}
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if (top) {
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translate([0, 0, 60]) cube([100, 100, 100], center = true); //just top
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}
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}
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}
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module spiral_bottom_old_debug () {
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difference () {
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spiral_bottom_old();
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rotate([0, 0, 80]) translate([50, 0, 0]) cube([100, 100, 100], center = true);
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}
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}
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module exploded_view () {
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spiral_bottom_old();
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translate([0, 0, 37 + 15]) rotate([180, 0, 180]) spiral_top_old();
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translate([0, 0, -10]) spiral_top_old_cap();
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}
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module spiral_test () {
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//$fn = 100;
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//spiral(START_D=34,SPIRALS=8);
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translate([0, 0, (-(H - REEL_OUTER_WALL_H) / 2) - .05]) {
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//difference () {
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intersection() {
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reel_frame();
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cylinder(r = 35, h = H + 20, center = true);
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}
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//cylinder(r = 22, h = H, center = true);
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//}
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}
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}
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module spiral_bottom_core (thread = false) {
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$fn = 360;
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core_center_h = 3;
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core_bottom_outer_d = 53;
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core_bottom_outer_void_d = 44;
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core_bottom_outer_h = 4.2;
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core_d = 29.5;
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core_h = 8.5;
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core_bottom_d = 26;
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core_bottom_h = 5;
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top_z_offset = (core_h / 2) - (core_center_h / 2);
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arms_outer_d = 48;
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arms_inner_d = 48 - 7;
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core_void_outer_d = 20.5;
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core_void_inner_d = 14.5;
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core_void_h = 11.5;
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film_void = 0.8;
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translate([0, 0, -(core_bottom_outer_h / 2) - (core_center_h / 2) ]) difference () {
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cylinder(r = core_bottom_outer_d / 2, h = core_bottom_outer_h + core_center_h, center = true);
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cylinder(r = core_bottom_outer_void_d / 2, h = core_bottom_outer_h + core_center_h + 1, center = true);
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}
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difference () {
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union() {
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//center
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translate([0, 0, -core_center_h / 2]) {
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difference () {
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cylinder(r = (core_bottom_outer_d - 1) / 2, h = core_center_h, center = true);
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rotate([0, 0, -120]) translate([20, 0, 0]) rotate([0, 0, 45]) cube([20, 20, 20], center = true);
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}
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translate([0, 0, -1]) cylinder(r = core_d / 2, h = core_center_h, center = true);
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}
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//top
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translate([0, 0, top_z_offset]) {
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cylinder(r = core_d / 2, h = core_h + core_center_h, center = true);
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}
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//bottom
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translate([0, 0, -(core_bottom_h / 2) - (core_center_h / 2)]) {
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cylinder(r = core_bottom_d / 2, h = core_bottom_h + core_center_h, center = true);
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}
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}
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//thread
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if (thread) {
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translate([0, 0, -LEN / 2]) metric_thread (diameter=OD + .2, pitch=PITCH, thread_size = THREAD, length=LEN);
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} else {
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cylinder(r = (OD + 0.2) / 2, h = LEN, center = true);
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}
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translate([0, 0, -2.3]) difference () {
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cylinder(r = core_void_outer_d / 2, h = core_void_h, center = true);
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cylinder(r = core_void_inner_d / 2, h = core_void_h + 1, center = true);
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}
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}
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//arms
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difference () {
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union () {
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translate([0, 0, top_z_offset]) difference() {
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//adjust one arm inward
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intersection () {
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cylinder(r = arms_outer_d / 2, h = core_h + core_center_h, center = true);
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translate([1, 0, 0]) cylinder(r = arms_outer_d / 2, h = core_h + core_center_h, center = true);
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}
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intersection () {
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cylinder(r = arms_inner_d / 2, h = core_h + core_center_h + 1, center = true);
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translate([1, 0, 0]) cylinder(r = arms_inner_d / 2, h = core_h + core_center_h + 1, center = true);
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}
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translate([0, arms_outer_d / 2, 0]) cube([arms_outer_d, arms_outer_d, arms_outer_d], center = true);
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}
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translate([(arms_outer_d + arms_inner_d) / 4, 0, top_z_offset]) cylinder(r = 3.5 / 2, h = core_h + core_center_h, center = true, $fn = 40);
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//adjusted arm
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translate([-((arms_outer_d + arms_inner_d) / 4) + 1, 0, top_z_offset]) cylinder(r = 3.5 / 2, h = core_h + core_center_h, center = true, $fn = 40);
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difference () {
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rotate([0, 0, -120]) translate([13.75, 0, top_z_offset]) cube([16, 20, core_h + core_center_h], center = true);
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//remove piece from adjusting arm
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translate([-19, -14, 0]) rotate([0, 0, 10]) cube([4, 4, 30], center = true);
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rotate([0, 0, -120 - 37]) translate([18, 0, top_z_offset]) {
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cylinder(r = 6.8 / 2, h = 30, center = true);
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|
translate([-4, -2, 0]) cube([4, 4, 30], center = true);
|
||||||
|
}
|
||||||
|
rotate([0, 0, -120 + 37]) translate([18, 0, top_z_offset]) {
|
||||||
|
cylinder(r = 6.8 / 2, h = 30, center = true);
|
||||||
|
translate([-4, 2, 0]) cube([4, 4, 30], center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
rotate([0, 0, -120]) translate([20, -5, 0]) rotate([0, 0, 45]) cube([20, film_void, 30], center = true);
|
||||||
|
rotate([0, 0, -120]) translate([20, 5, 0]) rotate([0, 0, -45]) cube([20, film_void, 30], center = true);
|
||||||
|
rotate([0, 0, -120]) translate([25, 0, 0]) difference () {
|
||||||
|
cylinder(r = 8 / 2, h = 30, center = true);
|
||||||
|
translate([-6.9, 0, 0]) cube([8, 8, 30], center = true);
|
||||||
|
}
|
||||||
|
cylinder(r = core_void_outer_d / 2, h = core_void_h, center = true);
|
||||||
|
rotate([0, 0, -120]) translate([20, 0, -1.5]) rotate([0, 0, 45]) cube([20, 20, 3.01], center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module spiral_bottom (threads = false, spiral_count = 40) {
|
||||||
|
outer_d = 215;
|
||||||
|
outer_d_inside = 209;
|
||||||
|
outer_h = 7.5;
|
||||||
|
|
||||||
|
spoke_len = 81;
|
||||||
|
spoke_w = 3;
|
||||||
|
spoke_h = 4.2 + 3;
|
||||||
|
|
||||||
|
spoke_2_len = 43;
|
||||||
|
spoke_2_h = 6;
|
||||||
|
|
||||||
|
translate([0, 0, -3.75]) difference () {
|
||||||
|
cylinder(r = outer_d / 2, h = outer_h, center = true, $fn = 500);
|
||||||
|
cylinder(r = outer_d_inside / 2, h = outer_h + 1, center = true, $fn = 500);
|
||||||
|
}
|
||||||
|
|
||||||
|
//rounding voids
|
||||||
|
difference () {
|
||||||
|
spiral_bottom_core(threads);
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / SPOKE_COUNT)]) translate([0, 26.75, 0]) cylinder(r = 2, h = 20, center = true, $fn = 40);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, i * (360 / SPOKE_COUNT)]) translate([(spoke_len / 2) + (48 / 2), 0, -3.6]) cube([spoke_len, spoke_w, spoke_h], center = true);
|
||||||
|
}
|
||||||
|
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / SPOKE_COUNT)]) translate([(outer_d / 2) - (spoke_2_len / 2) - 2, 0, -3]) cube([spoke_2_len, spoke_w, spoke_2_h], center = true);
|
||||||
|
}
|
||||||
|
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / SPOKE_COUNT)]) translate([63, 0, -3]) rotate([0, 0, 20]) cube([ spoke_w, 18, spoke_2_h], center = true);
|
||||||
|
}
|
||||||
|
|
||||||
|
//translate([0, 0, 1]) rotate([0, 0, 0]) spiral_2 (START_D = 46.95, SPIRALS = spirals); //12 //40
|
||||||
|
translate([0, 0, -.1]) spirals(spiral_count, 46.95 - 1.2, 2.075);
|
||||||
|
}
|
||||||
|
|
||||||
|
module spiral_top_core () {
|
||||||
|
$fn = 360;
|
||||||
|
|
||||||
|
core_center_h = 3;
|
||||||
|
|
||||||
|
core_bottom_outer_d = 53;
|
||||||
|
core_bottom_outer_void_d = 44;
|
||||||
|
core_bottom_outer_h = 4.2;
|
||||||
|
|
||||||
|
core_d = 29.5;
|
||||||
|
core_h = 8.5;
|
||||||
|
|
||||||
|
core_bottom_d = 26;
|
||||||
|
core_bottom_h = 4.2;
|
||||||
|
|
||||||
|
top_z_offset = (core_h / 2) - (core_center_h / 2);
|
||||||
|
|
||||||
|
core_void_outer_d = 20.5;
|
||||||
|
core_void_inner_d = 14.5;
|
||||||
|
core_void_h = 11.5;
|
||||||
|
|
||||||
|
arms_outer_d = 48;
|
||||||
|
arms_inner_d = 48 - 7;
|
||||||
|
|
||||||
|
void_d = 18;
|
||||||
|
|
||||||
|
film_void = 0.8;
|
||||||
|
|
||||||
|
translate([0, 0, -(core_bottom_outer_h / 2) - (core_center_h / 2) ]) difference () {
|
||||||
|
cylinder(r = core_bottom_outer_d / 2, h = core_bottom_outer_h + core_center_h, center = true);
|
||||||
|
cylinder(r = core_bottom_outer_void_d / 2, h = core_bottom_outer_h + core_center_h + 1, center = true);
|
||||||
|
}
|
||||||
|
difference () {
|
||||||
|
union() {
|
||||||
|
//center
|
||||||
|
translate([0, 0, -core_center_h / 2]) {
|
||||||
|
difference () {
|
||||||
|
cylinder(r = (core_bottom_outer_d - 1) / 2, h = core_center_h, center = true);
|
||||||
|
rotate([0, 0, -120]) translate([20, 0, 0]) rotate([0, 0, 45]) cube([20, 20, 20], center = true);
|
||||||
|
}
|
||||||
|
translate([0, 0, -1]) cylinder(r = core_d / 2, h = core_center_h, center = true);
|
||||||
|
}
|
||||||
|
//top
|
||||||
|
translate([0, 0, top_z_offset]) {
|
||||||
|
cylinder(r = core_d / 2, h = core_h + core_center_h, center = true);
|
||||||
|
}
|
||||||
|
//bottom
|
||||||
|
translate([0, 0, -(core_bottom_h / 2) - (core_center_h / 2)]) {
|
||||||
|
cylinder(r = core_bottom_d / 2, h = core_bottom_h + core_center_h, center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
cylinder(r = void_d / 2, h = 30, center = true);
|
||||||
|
translate([0, 0, -12]) spacer_ridges();
|
||||||
|
}
|
||||||
|
|
||||||
|
//arms
|
||||||
|
difference () {
|
||||||
|
union () {
|
||||||
|
translate([0, 0, top_z_offset]) difference() {
|
||||||
|
//adjust the shorter arm
|
||||||
|
intersection () {
|
||||||
|
cylinder(r = arms_outer_d / 2, h = core_h + core_center_h, center = true);
|
||||||
|
translate([1, 0, 0]) cylinder(r = arms_outer_d / 2, h = core_h + core_center_h, center = true);
|
||||||
|
}
|
||||||
|
intersection () {
|
||||||
|
cylinder(r = arms_inner_d / 2, h = core_h + core_center_h + 1, center = true);
|
||||||
|
translate([1, 0, 0]) cylinder(r = arms_inner_d / 2, h = core_h + core_center_h + 1, center = true);
|
||||||
|
}
|
||||||
|
translate([0, arms_outer_d / 2, 0]) cube([arms_outer_d, arms_outer_d, arms_outer_d], center = true);
|
||||||
|
}
|
||||||
|
|
||||||
|
translate([(arms_outer_d + arms_inner_d) / 4, 0, top_z_offset]) cylinder(r = 3.5 / 2, h = core_h + core_center_h, center = true, $fn = 40);
|
||||||
|
//adjusted arm
|
||||||
|
translate([-((arms_outer_d + arms_inner_d) / 4) + 1, 0, top_z_offset]) cylinder(r = 3.5 / 2, h = core_h + core_center_h, center = true, $fn = 40);
|
||||||
|
|
||||||
|
difference () {
|
||||||
|
rotate([0, 0, -120]) translate([13.75, 0, top_z_offset]) cube([16, 20, core_h + core_center_h], center = true);
|
||||||
|
//remove piece from adjusting arm
|
||||||
|
translate([-19, -14, 0]) rotate([0, 0, 10]) cube([4, 4, 30], center = true);
|
||||||
|
rotate([0, 0, -120 - 37]) translate([18, 0, top_z_offset]) {
|
||||||
|
cylinder(r = 6.8 / 2, h = 30, center = true);
|
||||||
|
translate([-4, -2, 0]) cube([4, 4, 30], center = true);
|
||||||
|
}
|
||||||
|
rotate([0, 0, -120 + 37]) translate([18, 0, top_z_offset]) {
|
||||||
|
cylinder(r = 6.8 / 2, h = 30, center = true);
|
||||||
|
translate([-4, 2, 0]) cube([4, 4, 30], center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
rotate([0, 0, -120]) translate([20, -5, 0]) rotate([0, 0, 45]) cube([20, film_void, 30], center = true);
|
||||||
|
rotate([0, 0, -120]) translate([20, 5, 0]) rotate([0, 0, -45]) cube([20, film_void, 30], center = true);
|
||||||
|
rotate([0, 0, -120]) translate([25, 0, 0]) difference () {
|
||||||
|
cylinder(r = 8 / 2, h = 30, center = true);
|
||||||
|
translate([-6.9, 0, 0]) cube([8, 8, 30], center = true);
|
||||||
|
}
|
||||||
|
cylinder(r = core_void_outer_d / 2, h = core_void_h, center = true);
|
||||||
|
rotate([0, 0, -120]) translate([20, 0, -1.5]) rotate([0, 0, 45]) cube([20, 20, 3.01], center = true);
|
||||||
|
cylinder(r = void_d / 2, h = 30, center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module spiral_top (spiral_count = 40) {
|
||||||
|
outer_d = 215;
|
||||||
|
outer_d_inside = 209;
|
||||||
|
outer_h = 7.5;
|
||||||
|
|
||||||
|
spoke_len = 81;
|
||||||
|
spoke_w = 3;
|
||||||
|
spoke_h = 4.2 + 3;
|
||||||
|
|
||||||
|
spoke_2_len = 43;
|
||||||
|
spoke_2_h = 6;
|
||||||
|
|
||||||
|
translate([0, 0, -3.75]) difference () {
|
||||||
|
cylinder(r = outer_d / 2, h = outer_h, center = true, $fn = 500);
|
||||||
|
cylinder(r = outer_d_inside / 2, h = outer_h + 1, center = true, $fn = 500);
|
||||||
|
}
|
||||||
|
|
||||||
|
difference () {
|
||||||
|
spiral_top_core();
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / SPOKE_COUNT)]) translate([0, 26.75, 0]) cylinder(r = 2, h = 20, center = true, $fn = 40);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, i * (360 / SPOKE_COUNT)]) translate([(spoke_len / 2) + (48 / 2), 0, -3.6]) cube([spoke_len, spoke_w, spoke_h], center = true);
|
||||||
|
}
|
||||||
|
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / SPOKE_COUNT)]) translate([(outer_d / 2) - (spoke_2_len / 2) - 2, 0, -3]) cube([spoke_2_len, spoke_w, spoke_2_h], center = true);
|
||||||
|
}
|
||||||
|
|
||||||
|
for (i = [0 : SPOKE_COUNT]) {
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / SPOKE_COUNT)]) translate([63, 0, -3]) rotate([0, 0, 20]) cube([ spoke_w, 18, spoke_2_h], center = true);
|
||||||
|
}
|
||||||
|
|
||||||
|
//translate([0, 0, 1]) rotate([0, 0, 0]) spiral_2 (START_D = 46.95, SPIRALS = spiral_count);//12 //40
|
||||||
|
translate([0, 0, -.1]) spirals(spiral_count, 46.95 - 1.2, 2.075);
|
||||||
|
}
|
||||||
|
|
||||||
|
module spacer_ridges () {
|
||||||
|
ridges = 16;
|
||||||
|
for (i = [0 : ridges]) {
|
||||||
|
rotate([0, 0, i * (360 / ridges)]) translate([13.5, 0, 0]) cylinder(r = 1.25, h = 8, $fn = 60);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module spacer_ridges_loose () {
|
||||||
|
ridges = 16;
|
||||||
|
intersection () {
|
||||||
|
union () {
|
||||||
|
for (i = [0 : ridges]) {
|
||||||
|
rotate([0, 0, i * (360 / ridges)]) translate([13.7, 0, 0]) cylinder(r = 1.25, h = 8, $fn = 60);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
cylinder(r = 13.7, h = 12, center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
module spacer_outer_ridges () {
|
||||||
|
ridges = 24;
|
||||||
|
H = 6.5;
|
||||||
|
difference () {
|
||||||
|
union () {
|
||||||
|
for (i = [0 : ridges]) {
|
||||||
|
rotate([0, 0, i * (360 / ridges)]) translate([14.6, 0, -4.75]) cylinder(r = 1.25, h = 8, $fn = 30);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
translate([0, 0, -4.1]) difference () {
|
||||||
|
cylinder(r = 33 / 2, h = 4, center = true, $fn = 100);
|
||||||
|
cylinder(r2 = 33 / 2, r1 = 27.75 / 2, h = 4.1, center = true, $fn = 100);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
module spacer () {
|
||||||
|
add = 3.25;
|
||||||
|
core_d = 29.5;
|
||||||
|
core_bottom_d = 26.2 + .2;
|
||||||
|
void_d = 22.5;
|
||||||
|
h = 8 + add;
|
||||||
|
translate([0, 0, (add / 2) - 1]) difference () {
|
||||||
|
union () {
|
||||||
|
difference () {
|
||||||
|
cylinder(r = core_d / 2, h = h, center = true, $fn = 200);
|
||||||
|
translate([0, 0, 8]) cylinder(r = core_bottom_d / 2, h = h, center = true, $fn = 200);
|
||||||
|
cylinder(r = void_d / 2, h = h + 1, center = true, $fn = 200);
|
||||||
|
}
|
||||||
|
translate([0, 0, 0]) spacer_ridges_loose();
|
||||||
|
spacer_outer_ridges();
|
||||||
|
}
|
||||||
|
//trim top
|
||||||
|
translate([0, 0, h - 0.1]) cylinder(r = (core_d + 1) / 2, h = h, center = true, $fn = 200);
|
||||||
|
//trim bottom
|
||||||
|
translate([0, 0, -h + 0.9]) cylinder(r = (core_d + 1) / 2, h = h, center = true, $fn = 200);
|
||||||
|
//finger grips
|
||||||
|
//translate([0, 24, 0]) rotate([-6, 0, 0]) cylinder(r = 10, h = 6, center = true, $fn = 100);
|
||||||
|
//translate([0, -24, 0]) rotate([6, 0, 0]) cylinder(r = 10, h = 6, center = true, $fn = 100);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module top () {
|
||||||
|
H = 5;
|
||||||
|
center_d = 53;
|
||||||
|
spoke_w = 4.5;
|
||||||
|
spokes = 12;
|
||||||
|
outer_d = 215;
|
||||||
|
inner_d = 150;
|
||||||
|
void_d = 22.5;
|
||||||
|
hole_d = 3.5;
|
||||||
|
hole_spacing = 37;
|
||||||
|
core_d = 29.5;
|
||||||
|
core_bottom_d = 26.2;
|
||||||
|
|
||||||
|
difference () {
|
||||||
|
union () {
|
||||||
|
cylinder(r = center_d / 2, h = H, center = true, $fn = 100);
|
||||||
|
for (i = [0 : spokes]) {
|
||||||
|
rotate([0, 0, i * (360 / spokes)]) translate([0, outer_d / 4, 0]) cube([spoke_w, (outer_d / 2) - 1, H], center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
//void
|
||||||
|
cylinder(r = void_d / 2, h = H + 1, center = true, $fn = 100);
|
||||||
|
//speed holes
|
||||||
|
for (i = [0 : 3]) {
|
||||||
|
rotate([0, 0, (i * 90) + 45]) translate([0, hole_spacing / 2, 0]) cylinder(r = hole_d / 2, h = H + 1, center = true);
|
||||||
|
}
|
||||||
|
//rounding of center cylinder
|
||||||
|
for (i = [0 : spokes]) {
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / spokes)]) translate([-2.75, 26.5, 0]) cylinder(r = 2, h = H+1, center = true, $fn = 40);
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / spokes)]) translate([2.75, 26.5, 0]) cylinder(r = 2, h = H+1, center = true, $fn = 40);
|
||||||
|
rotate([0, 0, (i + 0.5) * (360 / spokes)]) translate([0, 26.5, 0]) cube([5, 4, H + 1], center = true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
difference () {
|
||||||
|
cylinder(r = (center_d / 2) - 1.8, h = H, center = true, $fn = 200);
|
||||||
|
cylinder(r = (hole_spacing / 2) + 2, h = H + 1, center = true, $fn = 200);
|
||||||
|
}
|
||||||
|
//outer ring
|
||||||
|
difference () {
|
||||||
|
cylinder(r = outer_d / 2, h = H, center = true, $fn = 200);
|
||||||
|
cylinder(r = (outer_d / 2) - 5, h = H + 1, center = true, $fn = 200);
|
||||||
|
}
|
||||||
|
//inner ring
|
||||||
|
difference () {
|
||||||
|
cylinder(r = inner_d / 2, h = H, center = true, $fn = 200);
|
||||||
|
cylinder(r = (inner_d / 2) - 5, h = H + 1, center = true, $fn = 200);
|
||||||
|
}
|
||||||
|
//rounded cross connectors
|
||||||
|
for (i = [0 : spokes]) {
|
||||||
|
rotate([0, 0, i * (360 / spokes)]) translate([0, (inner_d / 2) - (spoke_w / 2), 0]) difference() {
|
||||||
|
cylinder(r = 6.5, h = H, center = true);
|
||||||
|
translate([6.25, 6, 0]) cylinder(r = 4, h = H + 1, center = true, $fn = 60);
|
||||||
|
translate([-6.25, 6, 0]) cylinder(r = 4, h = H + 1, center = true, $fn = 60);
|
||||||
|
translate([-6.1, -7, 0]) cylinder(r = 4, h = H + 1, center = true, $fn = 60);
|
||||||
|
translate([6.1, -7, 0]) cylinder(r = 4, h = H + 1, center = true, $fn = 60);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
difference () {
|
||||||
|
union () {
|
||||||
|
translate([0, 0, 3.75 + 1]) cylinder(r = core_d / 2, h = H, center = true, $fn = 60);
|
||||||
|
translate([0, 0, 3.75 + 1 + 3.2]) cylinder(r = core_bottom_d / 2, h = H, center = true, $fn = 60);
|
||||||
|
}
|
||||||
|
cylinder(r = void_d / 2, h = H * 5 , center = true, $fn = 100);
|
||||||
|
translate([0, 0, 4 + 1 + 2.25]) spacer_ridges();
|
||||||
|
}
|
||||||
|
//rounded outer ring connectors
|
||||||
|
for (i = [0 : spokes]) {
|
||||||
|
rotate([0, 0, i * (360 / spokes)]) translate([0, 205 / 2, 0]) difference () {
|
||||||
|
cube([13, 9, H], center = true);
|
||||||
|
translate([6.2, -4.2, 0]) cylinder(r = 4, h = H + 1, center = true, $fn = 60);
|
||||||
|
translate([-6.2, -4.2, 0]) cylinder(r = 4, h = H + 1, center = true, $fn = 60);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module spiral_facet_2 (i, SPIRAL, START_R = 48, SPACING = 2, FACET_SIZE = 1, FN = 360) {
|
||||||
|
|
||||||
|
BOTTOM_T = 1.2;
|
||||||
|
TOP_T = .3;
|
||||||
|
H = 2.1;
|
||||||
|
|
||||||
|
STEP_SIZE = SPACING / FN;
|
||||||
|
STEP_OFFSET = (SPIRAL * SPACING) + (i * STEP_SIZE);
|
||||||
|
|
||||||
|
ROT = i* (360 / FN);
|
||||||
|
ANGLE = 0;
|
||||||
|
|
||||||
|
OFFSET = START_R + STEP_OFFSET;
|
||||||
|
|
||||||
|
rotate([0, 0, ROT]) translate ([OFFSET, 0, - H / 2]) {
|
||||||
|
rotate ([0, 0, ANGLE]) {
|
||||||
|
hull () {
|
||||||
|
translate([0, 0, H])
|
||||||
|
cube([TOP_T, FACET_SIZE, 0.1], center=true);
|
||||||
|
cube([BOTTOM_T, FACET_SIZE, 0.1], center=true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module spiral_2 (SPIRALS = 40, START_D = 48) {
|
||||||
|
SPACING = 2.075;
|
||||||
|
FACET_SIZE = 2;
|
||||||
|
for (SPIRAL = [0 : SPIRALS - 1]) {
|
||||||
|
//C = PI * R^2
|
||||||
|
C = PI * pow(( (START_D / 2) + (SPIRAL * SPACING) ) / 2, 2);
|
||||||
|
FN = ceil( C / FACET_SIZE );
|
||||||
|
for (i = [0 : FN - 1]) {
|
||||||
|
spiral_facet_2(i, SPIRAL, START_D / 2, SPACING, FACET_SIZE, FN);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module spirals (count = 40, start_d = 48, spacing = 2) {
|
||||||
|
facet_size = 30;
|
||||||
|
bottom = 1.2;
|
||||||
|
top = .3;
|
||||||
|
top_offset = (bottom - top);
|
||||||
|
h = 2.2;
|
||||||
|
|
||||||
|
od = start_d + (spacing * 2 * count);
|
||||||
|
echo("SPIRAL LENGTH", PI * count * (od + start_d + 1) / 2);
|
||||||
|
echo("OUTER D", od);
|
||||||
|
|
||||||
|
facetProfile = [[0, 0], [top_offset, -h], [bottom, -h], [bottom, 0]];
|
||||||
|
union () {
|
||||||
|
for (s = [0 : count - 1]) {
|
||||||
|
d = start_d + (s * spacing * 2);
|
||||||
|
c = PI * pow(d / 2, 2);
|
||||||
|
$fn = ceil( c / facet_size );
|
||||||
|
angle_i = 360 / $fn;
|
||||||
|
increment = spacing / $fn;
|
||||||
|
spiralPath = [ for(t = [0 : $fn + 1]) [((d / 2) + (t * increment)) * cos(t * angle_i), ((d / 2) + (t * increment)) * sin(t * angle_i), 0] ];
|
||||||
|
path_extrude(exShape=facetProfile, exPath=spiralPath);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
module spirals_compressed (count = 40, start_d = 48, spacing = 2 ) {
|
||||||
|
facet_size = 30;
|
||||||
|
bottom = 1.2;
|
||||||
|
top = .3;
|
||||||
|
top_offset = (bottom - top);
|
||||||
|
h = 2.2;
|
||||||
|
|
||||||
|
facetProfile = [[0, 0], [top_offset, -h], [bottom, -h], [bottom, 0]];
|
||||||
|
|
||||||
|
spiralPath = [ for (s = [0 : count - 1]) for(t = [0 : ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size ) - 1]) [(((start_d + (s * spacing * 2)) / 2) + (t * (spacing / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size )))) * cos(t * (360 / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size ))), (((start_d + (s * spacing * 2)) / 2) + (t * (spacing / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size )))) * sin(t * (360 / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size ))), 0] ];
|
||||||
|
|
||||||
|
path_extrude(exShape=facetProfile, exPath=spiralPath);
|
||||||
|
}
|
|
@ -0,0 +1,195 @@
|
||||||
|
// path_extrude.scad -- Extrude a path in 3D space
|
||||||
|
// usage: add "use <path_extrude.scad>;" to the top of your OpenSCAD source code
|
||||||
|
|
||||||
|
// Copyright (C) 2014-2019 David Eccles (gringer) <bioinformatics@gringene.org>
|
||||||
|
|
||||||
|
// This program is free software: you can redistribute it and/or modify
|
||||||
|
// it under the terms of the GNU General Public License as published by
|
||||||
|
// the Free Software Foundation, either version 3 of the License, or
|
||||||
|
// (at your option) any later version.
|
||||||
|
|
||||||
|
// This program is distributed in the hope that it will be useful,
|
||||||
|
// but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
// GNU General Public License for more details.
|
||||||
|
|
||||||
|
// You should have received a copy of the GNU General Public License
|
||||||
|
// along with this program. If not, see <https://www.gnu.org/licenses/>.
|
||||||
|
|
||||||
|
// Determine the projection of a point on a plane centered at c1 with normal n1
|
||||||
|
function project(p, c, n) =
|
||||||
|
p - (n * (p - c)) * n / (n * n);
|
||||||
|
|
||||||
|
// determine angle between two points with a given normal orientation
|
||||||
|
// see https://stackoverflow.com/questions/14066933/
|
||||||
|
// direct-way-of-computing-clockwise-angle-between-2-vectors
|
||||||
|
// dot = p1 * p2;
|
||||||
|
// det = (p1[0]*p2[1]*n1[2] + p2[0]*n1[1]*p1[2] + n1[0]*p1[1]*p2[2]) -
|
||||||
|
// (n1[0]*p2[1]*p1[2] + p1[0]*n1[1]*p2[2] + p2[0]*p1[1]*n1[2]);
|
||||||
|
// atan2(det, dot);
|
||||||
|
// determine angle between two planar points and a centre
|
||||||
|
// with a given normal orientation
|
||||||
|
function getPlanarAngle(p1, p2, c1, n1) =
|
||||||
|
let(p1 = p1-c1, n1=n1 / norm(n1), p2=p2-c1)
|
||||||
|
atan2((p1[0]*p2[1]*n1[2] + p2[0]*n1[1]*p1[2] + n1[0]*p1[1]*p2[2]) -
|
||||||
|
(n1[0]*p2[1]*p1[2] + p1[0]*n1[1]*p2[2] + p2[0]*p1[1]*n1[2]), p1 * p2);
|
||||||
|
|
||||||
|
function c3D(tPoints) =
|
||||||
|
(len(tPoints[0]) == undef) ? // single point
|
||||||
|
c3D([tPoints])[0] :
|
||||||
|
(len(tPoints[0]) < 3) ? // collection of 2D points
|
||||||
|
tPoints * [[1,0,0],[0,1,0]] :
|
||||||
|
tPoints; // 3D points
|
||||||
|
|
||||||
|
// translate a point (or points)
|
||||||
|
function myTranslate(ofs, points, acc = []) =
|
||||||
|
(len(points[0]) == undef) ?
|
||||||
|
myTranslate(ofs, [points])[0] :
|
||||||
|
[ for(i = [0:(len(points) - 1)])
|
||||||
|
[ for(d = [0:(len(points[0])-1)]) (ofs[d] + points[i][d])]];
|
||||||
|
|
||||||
|
// rotate a point (or points)
|
||||||
|
function myRotate(rotVec, points) =
|
||||||
|
let(rotX = [[1, 0, 0],
|
||||||
|
[0, cos(rotVec[0]), -sin(rotVec[0])],
|
||||||
|
[0, sin(rotVec[0]), cos(rotVec[0])]],
|
||||||
|
rotY = [[ cos(rotVec[1]), 0,-sin(rotVec[1])],
|
||||||
|
[ 0, 1, 0],
|
||||||
|
[ sin(rotVec[1]), 0, cos(rotVec[1])]],
|
||||||
|
rotZ = [[ cos(rotVec[2]), sin(rotVec[2]), 0],
|
||||||
|
[ sin(rotVec[2]), -cos(rotVec[2]), 0],
|
||||||
|
[0, 0, 1]])
|
||||||
|
(len(points[0]) == undef) ?
|
||||||
|
myRotate(rotVec, [points])[0] :
|
||||||
|
c3D(points) * rotX * rotY * rotZ;
|
||||||
|
|
||||||
|
// Determine spherical rotation for cartesian coordinates
|
||||||
|
function rToS(pt) =
|
||||||
|
[-acos((pt[2]) / norm(pt)),
|
||||||
|
0,
|
||||||
|
-atan2(pt[0],pt[1])];
|
||||||
|
|
||||||
|
function calcPreRot(p1, p2, p3) =
|
||||||
|
let(n1=p2-p1, // normal between the two points (i.e. the plane that the polygon sits on)
|
||||||
|
n2=p3-p2,
|
||||||
|
rt1=rToS(n1),
|
||||||
|
rt2=rToS(n2),
|
||||||
|
pj1=(p2 + myRotate(rt2, [[1e42,0,0]])[0]),
|
||||||
|
pj2=project(p=(p1 + myRotate(rt1, [[1e42,0,0]])[0]), c=p2, n=n2))
|
||||||
|
getPlanarAngle(p1=pj1, p2=pj2, c1=p2, n1=n2);
|
||||||
|
|
||||||
|
function cumSum(x, res=[]) =
|
||||||
|
(len(x) == len(res)) ? concat([0], res) :
|
||||||
|
(len(res) == 0) ? cumSum(x=x, res=[x[0]]) :
|
||||||
|
cumSum(x=x, res=concat(res, [x[len(res)] + res[len(res)-1]]));
|
||||||
|
|
||||||
|
// Create extrusion side panels for one polygon segment as triangles.
|
||||||
|
// Note: panels are not necessarily be planar due to path twists
|
||||||
|
function makeSides(shs, pts, ofs=0) =
|
||||||
|
concat(
|
||||||
|
[for(i=[0:(shs-1)]) [i+ofs, ((i+1) % shs + ofs + shs) % (shs * pts),
|
||||||
|
(i+1) % shs + ofs]],
|
||||||
|
[for(i=[0:(shs-1)]) [((i+1) % shs + ofs + shs) % (shs * pts),
|
||||||
|
i+ofs, (i + ofs + shs) % (shs * pts)]]);
|
||||||
|
|
||||||
|
// Concatenate the contents of the outermost list
|
||||||
|
function flatten(A, acc = [], aDone = 0) =
|
||||||
|
(aDone >= len(A)) ? acc :
|
||||||
|
flatten(A, acc=concat(acc, A[aDone]), aDone = aDone + 1);
|
||||||
|
|
||||||
|
// Linearly interpolate between two shapes
|
||||||
|
function makeTween(shape1, shape2, t) =
|
||||||
|
(t == 0) ? shape1 :
|
||||||
|
(t == 1) ? shape2 :
|
||||||
|
[for (i=[0:(len(shape1)-1)])
|
||||||
|
(shape1[i]*(1-t) + shape2[i % len(shape2)]*(t))];
|
||||||
|
|
||||||
|
// Extrude a 2D shape through a 3D path
|
||||||
|
// Note: merge has two effects:
|
||||||
|
// 1) Removes end caps
|
||||||
|
// 2) Adjusts the rotation of each path point
|
||||||
|
// so that the end and start match up
|
||||||
|
module path_extrude(exPath, exShape, exShape2=[],
|
||||||
|
exRots = [0], exScale = [1], merge=false, preRotate=true){
|
||||||
|
exShapeTween = (len(exShape2) == 0) ?
|
||||||
|
exShape : exShape2;
|
||||||
|
shs = len(exShape); // shs: shape size
|
||||||
|
pts = len(exPath); // pts: path size
|
||||||
|
exPathX = (merge) ? concat(exPath, [exPath[0], exPath[1]]) :
|
||||||
|
concat(exPath,
|
||||||
|
[exPath[pts-1] + (exPath[pts-1] - exPath[pts-2]),
|
||||||
|
exPath[pts-1] + 2*(exPath[pts-1] - exPath[pts-2])]);
|
||||||
|
exScaleX = (len(exScale) == len(exPath)) ? exScale :
|
||||||
|
[for (i = [0:(pts-1)]) exScale[i % len(exScale)]];
|
||||||
|
preRots = [for(i = [0:(pts-1)])
|
||||||
|
preRotate ?
|
||||||
|
calcPreRot(p1=exPathX[i], // "current" point on the path
|
||||||
|
p2=exPathX[(i+1)], // "next" point on the path
|
||||||
|
p3=exPathX[(i+2)]) :
|
||||||
|
0 ];
|
||||||
|
cumPreRots = cumSum(preRots);
|
||||||
|
seDiff = cumPreRots[len(cumPreRots)-1]; // rotation difference (start - end)
|
||||||
|
// rotation adjustment to get start to look like end
|
||||||
|
seAdj = -seDiff / (len(cumPreRots));
|
||||||
|
adjPreRots = (!merge) ? cumPreRots :
|
||||||
|
[for(i = [0:(pts-1)]) (cumPreRots[i] + seAdj * i)];
|
||||||
|
adjExRots = (len(exRots) == 1) ?
|
||||||
|
[for(i = [0:(len(adjPreRots)-1)]) (adjPreRots[i] + exRots[0])] :
|
||||||
|
[for(i = [0:(len(adjPreRots)-1)]) (adjPreRots[i] + exRots[i % len(exRots)])];
|
||||||
|
phPoints = flatten([
|
||||||
|
for(i = [0:(pts-1)])
|
||||||
|
let(p1=exPathX[i],
|
||||||
|
p2=exPathX[(i+1)],
|
||||||
|
n1=p2-p1, // normal between the two points
|
||||||
|
rt1=rToS(n1))
|
||||||
|
myTranslate(p1, myRotate(rt1, myRotate([0,0,-adjExRots[i]],
|
||||||
|
c3D(makeTween(exShape, exShapeTween, i / (pts-1)) *
|
||||||
|
exScaleX[i]))))
|
||||||
|
]);
|
||||||
|
if(merge){ // just the surface, no end caps
|
||||||
|
polyhedron(points=phPoints,
|
||||||
|
faces=flatten([
|
||||||
|
for(i = [0:(pts-1)])
|
||||||
|
makeSides(shs, pts, ofs=shs*i)
|
||||||
|
])
|
||||||
|
);
|
||||||
|
} else {
|
||||||
|
polyhedron(points=phPoints,
|
||||||
|
faces=concat(
|
||||||
|
flatten([
|
||||||
|
for(i = [0:(pts-2)])
|
||||||
|
makeSides(shs, pts, ofs=shs*i)
|
||||||
|
]),
|
||||||
|
concat( // add in start / end covers
|
||||||
|
[[for(i= [0:(shs-1)]) i]],
|
||||||
|
[[for(i= [(len(phPoints)-1):-1:(len(phPoints)-shs)]) i]]
|
||||||
|
)
|
||||||
|
));
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
myPathTrefoil = [ for(t = [0:(360 / 101):359]) [ // trefoil knot
|
||||||
|
5*(.41*cos(t) - .18*sin(t) - .83*cos(2*t) - .83*sin(2*t) -
|
||||||
|
.11*cos(3*t) + .27*sin(3*t)),
|
||||||
|
5*(.36*cos(t) + .27*sin(t) - 1.13*cos(2*t) + .30*sin(2*t) +
|
||||||
|
.11*cos(3*t) - .27*sin(3*t)),
|
||||||
|
5*(.45*sin(t) - .30*cos(2*t) +1.13*sin(2*t) -
|
||||||
|
.11*cos(3*t) + .27*sin(3*t))] ];
|
||||||
|
|
||||||
|
myPointsOctagon =
|
||||||
|
let(ofs1=15)
|
||||||
|
[ for(t = [0:(360/8):359])
|
||||||
|
((t==90)?1:2) * [cos(t+ofs1),sin(t+ofs1)]];
|
||||||
|
myPointsChunkOctagon =
|
||||||
|
let(ofs1=15)
|
||||||
|
[ for(t = [0:(360/8):359])
|
||||||
|
((t==90)?0.4:1.9) *
|
||||||
|
[cos((t * 135/360 + 45)+ofs1+45)+0.5,sin((t * 135/360 + 45)+ofs1+45)]];
|
||||||
|
//myPoints = [ for(t = [0:(360/8):359]) 2 * [cos(t+45),sin(t+45)]];
|
||||||
|
|
||||||
|
pts=[2,0,0.5];
|
||||||
|
|
||||||
|
/*translate([0,0,0]) {
|
||||||
|
path_extrude(exRots = [$t*360], exShape=myPointsOctagon,
|
||||||
|
exPath=myPathTrefoil, merge=true);
|
||||||
|
}*/
|
|
@ -0,0 +1,3 @@
|
||||||
|
include <./gnal_50ft.scad>;
|
||||||
|
|
||||||
|
spacer();
|
|
@ -0,0 +1,3 @@
|
||||||
|
include <./gnal_50ft.scad>;
|
||||||
|
|
||||||
|
spiral_bottom();
|
|
@ -0,0 +1,3 @@
|
||||||
|
include <./gnal_50ft.scad>;
|
||||||
|
|
||||||
|
spiral_top();
|
|
@ -0,0 +1,372 @@
|
||||||
|
/*
|
||||||
|
* ISO-standard metric threads, following this specification:
|
||||||
|
* http://en.wikipedia.org/wiki/ISO_metric_screw_thread
|
||||||
|
*
|
||||||
|
* Copyright 2017 Dan Kirshner - dan_kirshner@yahoo.com
|
||||||
|
* This program is free software: you can redistribute it and/or modify
|
||||||
|
* it under the terms of the GNU General Public License as published by
|
||||||
|
* the Free Software Foundation, either version 3 of the License, or
|
||||||
|
* (at your option) any later version.
|
||||||
|
*
|
||||||
|
* This program is distributed in the hope that it will be useful,
|
||||||
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
* GNU General Public License for more details.
|
||||||
|
*
|
||||||
|
* See <http://www.gnu.org/licenses/>.
|
||||||
|
*
|
||||||
|
* Version 2.3. 2017-08-31 Default for leadin: 0 (best for internal threads).
|
||||||
|
* Version 2.2. 2017-01-01 Correction for angle; leadfac option. (Thanks to
|
||||||
|
* Andrew Allen <a2intl@gmail.com>.)
|
||||||
|
* Version 2.1. 2016-12-04 Chamfer bottom end (low-z); leadin option.
|
||||||
|
* Version 2.0. 2016-11-05 Backwards compatibility (earlier OpenSCAD) fixes.
|
||||||
|
* Version 1.9. 2016-07-03 Option: tapered.
|
||||||
|
* Version 1.8. 2016-01-08 Option: (non-standard) angle.
|
||||||
|
* Version 1.7. 2015-11-28 Larger x-increment - for small-diameters.
|
||||||
|
* Version 1.6. 2015-09-01 Options: square threads, rectangular threads.
|
||||||
|
* Version 1.5. 2015-06-12 Options: thread_size, groove.
|
||||||
|
* Version 1.4. 2014-10-17 Use "faces" instead of "triangles" for polyhedron
|
||||||
|
* Version 1.3. 2013-12-01 Correct loop over turns -- don't have early cut-off
|
||||||
|
* Version 1.2. 2012-09-09 Use discrete polyhedra rather than linear_extrude ()
|
||||||
|
* Version 1.1. 2012-09-07 Corrected to right-hand threads!
|
||||||
|
*/
|
||||||
|
|
||||||
|
// Examples.
|
||||||
|
//
|
||||||
|
// Standard M8 x 1.
|
||||||
|
// metric_thread (diameter=8, pitch=1, length=4);
|
||||||
|
|
||||||
|
// Square thread.
|
||||||
|
// metric_thread (diameter=8, pitch=1, length=4, square=true);
|
||||||
|
|
||||||
|
// Non-standard: long pitch, same thread size.
|
||||||
|
//metric_thread (diameter=8, pitch=4, length=4, thread_size=1, groove=true);
|
||||||
|
|
||||||
|
// Non-standard: 20 mm diameter, long pitch, square "trough" width 3 mm,
|
||||||
|
// depth 1 mm.
|
||||||
|
//metric_thread (diameter=20, pitch=8, length=16, square=true, thread_size=6,
|
||||||
|
// groove=true, rectangle=0.333);
|
||||||
|
|
||||||
|
// English: 1/4 x 20.
|
||||||
|
//english_thread (diameter=1/4, threads_per_inch=20, length=1);
|
||||||
|
|
||||||
|
// Tapered. Example -- pipe size 3/4" -- per:
|
||||||
|
// http://www.engineeringtoolbox.com/npt-national-pipe-taper-threads-d_750.html
|
||||||
|
// english_thread (diameter=1.05, threads_per_inch=14, length=3/4, taper=1/16);
|
||||||
|
|
||||||
|
// Thread for mounting on Rohloff hub.
|
||||||
|
//difference () {
|
||||||
|
// cylinder (r=20, h=10, $fn=100);
|
||||||
|
//
|
||||||
|
// metric_thread (diameter=34, pitch=1, length=10, internal=true, n_starts=6);
|
||||||
|
//}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
function segments (diameter) = min (50, ceil (diameter*6));
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
// diameter - outside diameter of threads in mm. Default: 8.
|
||||||
|
// pitch - thread axial "travel" per turn in mm. Default: 1.
|
||||||
|
// length - overall axial length of thread in mm. Default: 1.
|
||||||
|
// internal - true = clearances for internal thread (e.g., a nut).
|
||||||
|
// false = clearances for external thread (e.g., a bolt).
|
||||||
|
// (Internal threads should be "cut out" from a solid using
|
||||||
|
// difference ()).
|
||||||
|
// n_starts - Number of thread starts (e.g., DNA, a "double helix," has
|
||||||
|
// n_starts=2). See wikipedia Screw_thread.
|
||||||
|
// thread_size - (non-standard) axial width of a single thread "V" - independent
|
||||||
|
// of pitch. Default: same as pitch.
|
||||||
|
// groove - (non-standard) subtract inverted "V" from cylinder (rather than
|
||||||
|
// add protruding "V" to cylinder).
|
||||||
|
// square - Square threads (per
|
||||||
|
// https://en.wikipedia.org/wiki/Square_thread_form).
|
||||||
|
// rectangle - (non-standard) "Rectangular" thread - ratio depth/(axial) width
|
||||||
|
// Default: 1 (square).
|
||||||
|
// angle - (non-standard) angle (deg) of thread side from perpendicular to
|
||||||
|
// axis (default = standard = 30 degrees).
|
||||||
|
// taper - diameter change per length (National Pipe Thread/ANSI B1.20.1
|
||||||
|
// is 1" diameter per 16" length). Taper decreases from 'diameter'
|
||||||
|
// as z increases.
|
||||||
|
// leadin - 0 (default): no chamfer; 1: chamfer (45 degree) at max-z end;
|
||||||
|
// 2: chamfer at both ends, 3: chamfer at z=0 end.
|
||||||
|
// leadfac - scale of leadin chamfer (default: 1.0 = 1/2 thread).
|
||||||
|
module metric_thread (diameter=8, pitch=1, length=1, internal=false, n_starts=1,
|
||||||
|
thread_size=-1, groove=false, square=false, rectangle=0,
|
||||||
|
angle=30, taper=0, leadin=0, leadfac=1.0)
|
||||||
|
{
|
||||||
|
// thread_size: size of thread "V" different than travel per turn (pitch).
|
||||||
|
// Default: same as pitch.
|
||||||
|
local_thread_size = thread_size == -1 ? pitch : thread_size;
|
||||||
|
local_rectangle = rectangle ? rectangle : 1;
|
||||||
|
|
||||||
|
n_segments = segments (diameter);
|
||||||
|
h = (square || rectangle) ? local_thread_size*local_rectangle/2 : local_thread_size / (2 * tan(angle));
|
||||||
|
|
||||||
|
h_fac1 = (square || rectangle) ? 0.90 : 0.625;
|
||||||
|
|
||||||
|
// External thread includes additional relief.
|
||||||
|
h_fac2 = (square || rectangle) ? 0.95 : 5.3/8;
|
||||||
|
|
||||||
|
tapered_diameter = diameter - length*taper;
|
||||||
|
|
||||||
|
difference () {
|
||||||
|
union () {
|
||||||
|
if (! groove) {
|
||||||
|
metric_thread_turns (diameter, pitch, length, internal, n_starts,
|
||||||
|
local_thread_size, groove, square, rectangle, angle,
|
||||||
|
taper);
|
||||||
|
}
|
||||||
|
|
||||||
|
difference () {
|
||||||
|
|
||||||
|
// Solid center, including Dmin truncation.
|
||||||
|
if (groove) {
|
||||||
|
cylinder (r1=diameter/2, r2=tapered_diameter/2,
|
||||||
|
h=length, $fn=n_segments);
|
||||||
|
} else if (internal) {
|
||||||
|
cylinder (r1=diameter/2 - h*h_fac1, r2=tapered_diameter/2 - h*h_fac1,
|
||||||
|
h=length, $fn=n_segments);
|
||||||
|
} else {
|
||||||
|
|
||||||
|
// External thread.
|
||||||
|
cylinder (r1=diameter/2 - h*h_fac2, r2=tapered_diameter/2 - h*h_fac2,
|
||||||
|
h=length, $fn=n_segments);
|
||||||
|
}
|
||||||
|
|
||||||
|
if (groove) {
|
||||||
|
metric_thread_turns (diameter, pitch, length, internal, n_starts,
|
||||||
|
local_thread_size, groove, square, rectangle,
|
||||||
|
angle, taper);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// chamfer z=0 end if leadin is 2 or 3
|
||||||
|
if (leadin == 2 || leadin == 3) {
|
||||||
|
difference () {
|
||||||
|
cylinder (r=diameter/2 + 1, h=h*h_fac1*leadfac, $fn=n_segments);
|
||||||
|
|
||||||
|
cylinder (r2=diameter/2, r1=diameter/2 - h*h_fac1*leadfac, h=h*h_fac1*leadfac,
|
||||||
|
$fn=n_segments);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// chamfer z-max end if leadin is 1 or 2.
|
||||||
|
if (leadin == 1 || leadin == 2) {
|
||||||
|
translate ([0, 0, length + 0.05 - h*h_fac1*leadfac]) {
|
||||||
|
difference () {
|
||||||
|
cylinder (r=diameter/2 + 1, h=h*h_fac1*leadfac, $fn=n_segments);
|
||||||
|
cylinder (r1=tapered_diameter/2, r2=tapered_diameter/2 - h*h_fac1*leadfac, h=h*h_fac1*leadfac,
|
||||||
|
$fn=n_segments);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
// Input units in inches.
|
||||||
|
// Note: units of measure in drawing are mm!
|
||||||
|
module english_thread (diameter=0.25, threads_per_inch=20, length=1,
|
||||||
|
internal=false, n_starts=1, thread_size=-1, groove=false,
|
||||||
|
square=false, rectangle=0, angle=30, taper=0, leadin=0,
|
||||||
|
leadfac=1.0)
|
||||||
|
{
|
||||||
|
// Convert to mm.
|
||||||
|
mm_diameter = diameter*25.4;
|
||||||
|
mm_pitch = (1.0/threads_per_inch)*25.4;
|
||||||
|
mm_length = length*25.4;
|
||||||
|
|
||||||
|
echo (str ("mm_diameter: ", mm_diameter));
|
||||||
|
echo (str ("mm_pitch: ", mm_pitch));
|
||||||
|
echo (str ("mm_length: ", mm_length));
|
||||||
|
metric_thread (mm_diameter, mm_pitch, mm_length, internal, n_starts,
|
||||||
|
thread_size, groove, square, rectangle, angle, taper, leadin,
|
||||||
|
leadfac);
|
||||||
|
}
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
module metric_thread_turns (diameter, pitch, length, internal, n_starts,
|
||||||
|
thread_size, groove, square, rectangle, angle,
|
||||||
|
taper)
|
||||||
|
{
|
||||||
|
// Number of turns needed.
|
||||||
|
n_turns = floor (length/pitch);
|
||||||
|
|
||||||
|
intersection () {
|
||||||
|
|
||||||
|
// Start one below z = 0. Gives an extra turn at each end.
|
||||||
|
for (i=[-1*n_starts : n_turns+1]) {
|
||||||
|
translate ([0, 0, i*pitch]) {
|
||||||
|
metric_thread_turn (diameter, pitch, internal, n_starts,
|
||||||
|
thread_size, groove, square, rectangle, angle,
|
||||||
|
taper, i*pitch);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cut to length.
|
||||||
|
translate ([0, 0, length/2]) {
|
||||||
|
cube ([diameter*3, diameter*3, length], center=true);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
module metric_thread_turn (diameter, pitch, internal, n_starts, thread_size,
|
||||||
|
groove, square, rectangle, angle, taper, z)
|
||||||
|
{
|
||||||
|
n_segments = segments (diameter);
|
||||||
|
fraction_circle = 1.0/n_segments;
|
||||||
|
for (i=[0 : n_segments-1]) {
|
||||||
|
rotate ([0, 0, i*360*fraction_circle]) {
|
||||||
|
translate ([0, 0, i*n_starts*pitch*fraction_circle]) {
|
||||||
|
//current_diameter = diameter - taper*(z + i*n_starts*pitch*fraction_circle);
|
||||||
|
thread_polyhedron ((diameter - taper*(z + i*n_starts*pitch*fraction_circle))/2,
|
||||||
|
pitch, internal, n_starts, thread_size, groove,
|
||||||
|
square, rectangle, angle);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
// ----------------------------------------------------------------------------
|
||||||
|
module thread_polyhedron (radius, pitch, internal, n_starts, thread_size,
|
||||||
|
groove, square, rectangle, angle)
|
||||||
|
{
|
||||||
|
n_segments = segments (radius*2);
|
||||||
|
fraction_circle = 1.0/n_segments;
|
||||||
|
|
||||||
|
local_rectangle = rectangle ? rectangle : 1;
|
||||||
|
|
||||||
|
h = (square || rectangle) ? thread_size*local_rectangle/2 : thread_size / (2 * tan(angle));
|
||||||
|
outer_r = radius + (internal ? h/20 : 0); // Adds internal relief.
|
||||||
|
//echo (str ("outer_r: ", outer_r));
|
||||||
|
|
||||||
|
// A little extra on square thread -- make sure overlaps cylinder.
|
||||||
|
h_fac1 = (square || rectangle) ? 1.1 : 0.875;
|
||||||
|
inner_r = radius - h*h_fac1; // Does NOT do Dmin_truncation - do later with
|
||||||
|
// cylinder.
|
||||||
|
|
||||||
|
translate_y = groove ? outer_r + inner_r : 0;
|
||||||
|
reflect_x = groove ? 1 : 0;
|
||||||
|
|
||||||
|
// Make these just slightly bigger (keep in proportion) so polyhedra will
|
||||||
|
// overlap.
|
||||||
|
x_incr_outer = (! groove ? outer_r : inner_r) * fraction_circle * 2 * PI * 1.02;
|
||||||
|
x_incr_inner = (! groove ? inner_r : outer_r) * fraction_circle * 2 * PI * 1.02;
|
||||||
|
z_incr = n_starts * pitch * fraction_circle * 1.005;
|
||||||
|
|
||||||
|
/*
|
||||||
|
(angles x0 and x3 inner are actually 60 deg)
|
||||||
|
|
||||||
|
/\ (x2_inner, z2_inner) [2]
|
||||||
|
/ \
|
||||||
|
(x3_inner, z3_inner) / \
|
||||||
|
[3] \ \
|
||||||
|
|\ \ (x2_outer, z2_outer) [6]
|
||||||
|
| \ /
|
||||||
|
| \ /|
|
||||||
|
z |[7]\/ / (x1_outer, z1_outer) [5]
|
||||||
|
| | | /
|
||||||
|
| x | |/
|
||||||
|
| / | / (x0_outer, z0_outer) [4]
|
||||||
|
| / | / (behind: (x1_inner, z1_inner) [1]
|
||||||
|
|/ | /
|
||||||
|
y________| |/
|
||||||
|
(r) / (x0_inner, z0_inner) [0]
|
||||||
|
|
||||||
|
*/
|
||||||
|
|
||||||
|
x1_outer = outer_r * fraction_circle * 2 * PI;
|
||||||
|
|
||||||
|
z0_outer = (outer_r - inner_r) * tan(angle);
|
||||||
|
//echo (str ("z0_outer: ", z0_outer));
|
||||||
|
|
||||||
|
//polygon ([[inner_r, 0], [outer_r, z0_outer],
|
||||||
|
// [outer_r, 0.5*pitch], [inner_r, 0.5*pitch]]);
|
||||||
|
z1_outer = z0_outer + z_incr;
|
||||||
|
|
||||||
|
// Give internal square threads some clearance in the z direction, too.
|
||||||
|
bottom = internal ? 0.235 : 0.25;
|
||||||
|
top = internal ? 0.765 : 0.75;
|
||||||
|
|
||||||
|
translate ([0, translate_y, 0]) {
|
||||||
|
mirror ([reflect_x, 0, 0]) {
|
||||||
|
|
||||||
|
if (square || rectangle) {
|
||||||
|
|
||||||
|
// Rule for face ordering: look at polyhedron from outside: points must
|
||||||
|
// be in clockwise order.
|
||||||
|
polyhedron (
|
||||||
|
points = [
|
||||||
|
[-x_incr_inner/2, -inner_r, bottom*thread_size], // [0]
|
||||||
|
[x_incr_inner/2, -inner_r, bottom*thread_size + z_incr], // [1]
|
||||||
|
[x_incr_inner/2, -inner_r, top*thread_size + z_incr], // [2]
|
||||||
|
[-x_incr_inner/2, -inner_r, top*thread_size], // [3]
|
||||||
|
|
||||||
|
[-x_incr_outer/2, -outer_r, bottom*thread_size], // [4]
|
||||||
|
[x_incr_outer/2, -outer_r, bottom*thread_size + z_incr], // [5]
|
||||||
|
[x_incr_outer/2, -outer_r, top*thread_size + z_incr], // [6]
|
||||||
|
[-x_incr_outer/2, -outer_r, top*thread_size] // [7]
|
||||||
|
],
|
||||||
|
|
||||||
|
faces = [
|
||||||
|
[0, 3, 7, 4], // This-side trapezoid
|
||||||
|
|
||||||
|
[1, 5, 6, 2], // Back-side trapezoid
|
||||||
|
|
||||||
|
[0, 1, 2, 3], // Inner rectangle
|
||||||
|
|
||||||
|
[4, 7, 6, 5], // Outer rectangle
|
||||||
|
|
||||||
|
// These are not planar, so do with separate triangles.
|
||||||
|
[7, 2, 6], // Upper rectangle, bottom
|
||||||
|
[7, 3, 2], // Upper rectangle, top
|
||||||
|
|
||||||
|
[0, 5, 1], // Lower rectangle, bottom
|
||||||
|
[0, 4, 5] // Lower rectangle, top
|
||||||
|
]
|
||||||
|
);
|
||||||
|
} else {
|
||||||
|
|
||||||
|
// Rule for face ordering: look at polyhedron from outside: points must
|
||||||
|
// be in clockwise order.
|
||||||
|
polyhedron (
|
||||||
|
points = [
|
||||||
|
[-x_incr_inner/2, -inner_r, 0], // [0]
|
||||||
|
[x_incr_inner/2, -inner_r, z_incr], // [1]
|
||||||
|
[x_incr_inner/2, -inner_r, thread_size + z_incr], // [2]
|
||||||
|
[-x_incr_inner/2, -inner_r, thread_size], // [3]
|
||||||
|
|
||||||
|
[-x_incr_outer/2, -outer_r, z0_outer], // [4]
|
||||||
|
[x_incr_outer/2, -outer_r, z0_outer + z_incr], // [5]
|
||||||
|
[x_incr_outer/2, -outer_r, thread_size - z0_outer + z_incr], // [6]
|
||||||
|
[-x_incr_outer/2, -outer_r, thread_size - z0_outer] // [7]
|
||||||
|
],
|
||||||
|
|
||||||
|
faces = [
|
||||||
|
[0, 3, 7, 4], // This-side trapezoid
|
||||||
|
|
||||||
|
[1, 5, 6, 2], // Back-side trapezoid
|
||||||
|
|
||||||
|
[0, 1, 2, 3], // Inner rectangle
|
||||||
|
|
||||||
|
[4, 7, 6, 5], // Outer rectangle
|
||||||
|
|
||||||
|
// These are not planar, so do with separate triangles.
|
||||||
|
[7, 2, 6], // Upper rectangle, bottom
|
||||||
|
[7, 3, 2], // Upper rectangle, top
|
||||||
|
|
||||||
|
[0, 5, 1], // Lower rectangle, bottom
|
||||||
|
[0, 4, 5] // Lower rectangle, top
|
||||||
|
]
|
||||||
|
);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
|
@ -0,0 +1,3 @@
|
||||||
|
include <./gnal_50ft.scad>;
|
||||||
|
|
||||||
|
top();
|
Loading…
Reference in New Issue