Publish all missing boilerplate requirements for publication
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[submodule "scad/common"]
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path = scad/common
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url = https://git.sixteenmillimeter.com/modules/common.git
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Copyright (c) 2025 M McWilliams
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.
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# Paterson 16mm Reel
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This is a 16mm gauge processing reel that fits in a [Paterson Super System](https://patersonphotographic.com/product/paterson-super-system-4-developing-tanks/) tank.
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The reel can hold about 8ft or 2.4m of 16mm gauge film, roughly 320 frames.
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Four of these can fit in a standard 500ml, 2 reel tank.
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Notches at the top of the spiral register the top of the reel to prevent spinning while loading.
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The reel will friction fit onto the center funnel of the tank.
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-----
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## Reel Spiral
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
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[Download STL](./stl/paterson16_reel_spiral.stl)
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-----
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## Reel Top
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
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[Download STL](./stl/paterson16_reel_top.stl)
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After Width: | Height: | Size: 25 KiB |
Binary file not shown.
After Width: | Height: | Size: 19 KiB |
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{
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"camera" : {
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"x" : 0,
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"y" : 0,
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"z" : 0
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},
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"objects" : [
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{
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"name" : "paterson16_reel_top",
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"material" : "white_plastic",
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"position" : {
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"x" : 0,
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"y" : 0,
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"z" : -20
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},
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"rotation" : {
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"x" : 180,
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"y" : 0,
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"z" : 0
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}
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},
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{
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"name" : "paterson16_reel_spiral",
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"material" : "white_plastic",
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"position" : {
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"x" : 0,
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"y" : 0,
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"z" : 20
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},
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"rotation" : {
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"x" : 0,
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"y" : 0,
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"z" : 0
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}
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}
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],
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"src" : [
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"README.md",
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"LICENSE",
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"scad.sh",
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"scad/paterson16.scad",
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"scad/gnal_v3.scad",
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"scad/common/common.scad",
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"scad/common/path_extrude.scad",
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"scad/common/threads.scad",
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"scad/common/Triangles.scad",
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"scad/common/c14n_stl.py",
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"scad/common/scad.sh"
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]
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}
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#!/bin/bash
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bash scad/common/scad.sh scad/paterson16.scad "${@}"
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/*
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Triangles.scad
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Author: Tim Koopman
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https://github.com/tkoopman/Delta-Diamond/blob/master/OpenSCAD/Triangles.scad
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angleCA
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/|\
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a / H \ c
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/ | \
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angleAB ------- angleBC
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b
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Standard Parameters
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center: true/false
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If true same as centerXYZ = [true, true, true]
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centerXYZ: Vector of 3 true/false values [CenterX, CenterY, CenterZ]
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center must be left undef
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height: The 3D height of the Triangle. Ignored if heights defined
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heights: Vector of 3 height values heights @ [angleAB, angleBC, angleCA]
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If CenterZ is true each height will be centered individually, this means
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the shape will be different depending on CenterZ. Most times you will want
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CenterZ to be true to get the shape most people want.
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*/
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/*
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Triangle
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a: Length of side a
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b: Length of side b
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angle: angle at point angleAB
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*/
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module Triangle(
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a, b, angle, height=1, heights=undef,
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center=undef, centerXYZ=[false,false,false])
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{
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// Calculate Heights at each point
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heightAB = ((heights==undef) ? height : heights[0])/2;
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heightBC = ((heights==undef) ? height : heights[1])/2;
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heightCA = ((heights==undef) ? height : heights[2])/2;
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centerZ = (center || (center==undef && centerXYZ[2]))?0:max(heightAB,heightBC,heightCA);
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// Calculate Offsets for centering
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offsetX = (center || (center==undef && centerXYZ[0]))?((cos(angle)*a)+b)/3:0;
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offsetY = (center || (center==undef && centerXYZ[1]))?(sin(angle)*a)/3:0;
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pointAB1 = [-offsetX,-offsetY, centerZ-heightAB];
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pointAB2 = [-offsetX,-offsetY, centerZ+heightAB];
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pointBC1 = [b-offsetX,-offsetY, centerZ-heightBC];
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pointBC2 = [b-offsetX,-offsetY, centerZ+heightBC];
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pointCA1 = [(cos(angle)*a)-offsetX,(sin(angle)*a)-offsetY, centerZ-heightCA];
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pointCA2 = [(cos(angle)*a)-offsetX,(sin(angle)*a)-offsetY, centerZ+heightCA];
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polyhedron(
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points=[ pointAB1, pointBC1, pointCA1,
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pointAB2, pointBC2, pointCA2 ],
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faces=[
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[0, 1, 2],
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[3, 5, 4],
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[0, 3, 1],
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[1, 3, 4],
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[1, 4, 2],
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[2, 4, 5],
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[2, 5, 0],
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[0, 5, 3] ] );
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}
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/*
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Isosceles Triangle
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Exactly 2 of the following paramaters must be defined.
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If all 3 defined H will be ignored.
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b: length of side b
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angle: angle at points angleAB & angleBC.
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*/
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module Isosceles_Triangle(
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b, angle, H=undef, height=1, heights=undef,
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center=undef, centerXYZ=[true, false, false])
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{
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valid = (angle!=undef)?((angle < 90) && (b!=undef||H!=undef)) : (b!=undef&&H!=undef);
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ANGLE = (angle!=undef) ? angle : atan(H / (b/2));
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a = (b==undef)?(H/sin((180-(angle*2))/2)) :
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(b / cos(ANGLE))/2;
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B = (b==undef)? (cos(angle)*a)*2:b;
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if (valid)
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{
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Triangle(a=a, b=B, angle=ANGLE, height=height, heights=heights,
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center=center, centerXYZ=centerXYZ);
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} else {
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echo("Invalid Isosceles_Triangle. Must specify any 2 of b, angle and H, and if angle used angle must be less than 90");
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}
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}
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/*
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Right Angled Triangle
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Create a Right Angled Triangle where the hypotenuse will be calculated.
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a| \
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| \
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----
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b
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a: length of side a
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b: length of side b
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*/
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module Right_Angled_Triangle(
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a, b, height=1, heights=undef,
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center=undef, centerXYZ=[false, false, false])
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{
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Triangle(a=a, b=b, angle=90, height=height, heights=heights,
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center=center, centerXYZ=centerXYZ);
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}
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/*
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Wedge
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Is same as Right Angled Triangle with 2 different heights, and rotated.
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Good for creating support structures.
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*/
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module Wedge(a, b, w1, w2)
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{
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rotate([90,0,0])
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Right_Angled_Triangle(a, b, heights=[w1, w2, w1], centerXYZ=[false, false, true]);
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}
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/*
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Equilateral Triangle
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Create a Equilateral Triangle.
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l: Length of all sides (a, b & c)
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H: Triangle size will be based on the this 2D height
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When using H, l is ignored.
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*/
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module Equilateral_Triangle(
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l=10, H=undef, height=1, heights=undef,
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center=undef, centerXYZ=[true,false,false])
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{
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L = (H==undef)?l:H/sin(60);
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Triangle(a=L,b=L,angle=60,height=height, heights=heights,
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center=center, centerXYZ=centerXYZ);
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}
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/*
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Trapezoid
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Create a Basic Trapezoid (Based on Isosceles_Triangle)
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d
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/----\
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/ | \
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a / H \ c
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/ | \
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angle ------------ angle
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b
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b: Length of side b
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angle: Angle at points angleAB & angleBC
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H: The 2D height at which the triangle should be cut to create the trapezoid
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heights: If vector of size 3 (Standard for triangles) both cd & da will be the same height, if vector have 4 values [ab,bc,cd,da] than each point can have different heights.
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*/
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module Trapezoid(
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b, angle=60, H, height=1, heights=undef,
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center=undef, centerXYZ=[true,false,false])
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{
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validAngle = (angle < 90);
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adX = H / tan(angle);
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// Calculate Heights at each point
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heightAB = ((heights==undef) ? height : heights[0])/2;
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heightBC = ((heights==undef) ? height : heights[1])/2;
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heightCD = ((heights==undef) ? height : heights[2])/2;
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heightDA = ((heights==undef) ? height : ((len(heights) > 3)?heights[3]:heights[2]))/2;
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// Centers
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centerX = (center || (center==undef && centerXYZ[0]))?0:b/2;
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centerY = (center || (center==undef && centerXYZ[1]))?0:H/2;
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centerZ = (center || (center==undef && centerXYZ[2]))?0:max(heightAB,heightBC,heightCD,heightDA);
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// Points
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y = H/2;
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bx = b/2;
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dx = (b-(adX*2))/2;
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pointAB1 = [centerX-bx, centerY-y, centerZ-heightAB];
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pointAB2 = [centerX-bx, centerY-y, centerZ+heightAB];
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pointBC1 = [centerX+bx, centerY-y, centerZ-heightBC];
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pointBC2 = [centerX+bx, centerY-y, centerZ+heightBC];
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pointCD1 = [centerX+dx, centerY+y, centerZ-heightCD];
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pointCD2 = [centerX+dx, centerY+y, centerZ+heightCD];
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pointDA1 = [centerX-dx, centerY+y, centerZ-heightDA];
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pointDA2 = [centerX-dx, centerY+y, centerZ+heightDA];
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validH = (adX < b/2);
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if (validAngle && validH)
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{
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polyhedron(
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points=[ pointAB1, pointBC1, pointCD1, pointDA1,
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pointAB2, pointBC2, pointCD2, pointDA2 ],
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triangles=[
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[0, 1, 2],
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[0, 2, 3],
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[4, 6, 5],
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[4, 7, 6],
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[0, 4, 1],
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[1, 4, 5],
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[1, 5, 2],
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[2, 5, 6],
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[2, 6, 3],
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[3, 6, 7],
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[3, 7, 0],
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[0, 7, 4] ] );
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} else {
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if (!validAngle) echo("Trapezoid invalid, angle must be less than 90");
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else echo("Trapezoid invalid, H is larger than triangle");
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}
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}
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@ -0,0 +1 @@
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Subproject commit e2eeb27f173d739a174c0d147bcb62a16859e2d9
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@ -1,8 +1,8 @@
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//GNAL v3 Shared Library
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include <./path_extrude.scad>;
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include <./threads.scad>;
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include <./Triangles.scad>;
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use <./common/path_extrude.scad>;
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use <./common/threads.scad>;
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use <./common/Triangles.scad>;
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/**
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* THREADS
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@ -1,4 +1,5 @@
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include <./gnal_v3.scad>;
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use <./common/common.scad>;
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use <./gnal_v3.scad>;
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$fn = 250;
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@ -18,31 +19,31 @@ ROTATIONS = 14;
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module notches (pos = [0, 0, 0], pad = 0) {
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translate(pos) {
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intersection () {
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cylinder(r = (29.5 + pad) / 2, h = 6, center = true);
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cylinder(r = R(29.5 + pad), h = 6, center = true);
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rotate([0, 45, 0]) cube([3, 31, 3], center = true);
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}
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}
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}
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module reel_frame () {
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module reel_spiral () {
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difference () {
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union () {
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//outer wall
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translate([0, 0, REEL_OUTER_WALL_H / 2]) 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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cylinder(r = R(REEL_D), h = REEL_OUTER_WALL_H, center = true);
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cylinder(r = R(REEL_D) - REEL_OUTER_WALL_W, h = REEL_OUTER_WALL_H + 1, center = true);
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}
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//inner wall
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translate([0, 0, REEL_INNER_H / 2]) 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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cylinder(r = R(REEL_INNER_D), h = REEL_INNER_H, center = true);
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cylinder(r = R(REEL_INNER_D) - REEL_INNER_WALL_W, h = REEL_INNER_H + 1, center = true);
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translate([14, 0, 0]) rotate([0, 0, 45]) cube([10, 0.3, 20], center = true);
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}
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//top notches
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translate([0, 0, 19.4]) difference () {
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notches(pad = -0.4);
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cylinder(r = (REEL_INNER_D / 2) - REEL_INNER_WALL_W, h = 6 + 1, center = true);
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cylinder(r = R(REEL_INNER_D) - REEL_INNER_WALL_W, h = 6 + 1, center = true);
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}
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//spokes
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@ -54,6 +55,7 @@ module reel_frame () {
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}
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}
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//
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translate([0, 0, 4]) rotate([0, 0, 8]) spiral(rotations = ROTATIONS, fn = $fn, start_d = 29.5, bottom = -4);
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}
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//bottom notches
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@ -66,19 +68,19 @@ module reel_top () {
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union () {
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//outer wall
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translate([0, 0, SPOKE_H / 2]) difference () {
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cylinder(r = REEL_D / 2, h = SPOKE_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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cylinder(r = R(REEL_D), h = SPOKE_H, center = true);
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cylinder(r = R(REEL_D) - REEL_OUTER_WALL_W, h = REEL_OUTER_WALL_H + 1, center = true);
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}
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//inner wall
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translate([0, 0, SPOKE_H / 2]) difference () {
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cylinder(r = REEL_INNER_D / 2, h = SPOKE_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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cylinder(r = R(REEL_INNER_D), h = SPOKE_H, center = true);
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cylinder(r = R(REEL_INNER_D) - REEL_INNER_WALL_W, h = REEL_INNER_H + 1, center = true);
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}
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translate([0, 0, SPOKE_H / 2]) difference () {
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cylinder(r = (REEL_INNER_D + REEL_D) / 4, h = SPOKE_H, center = true);
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cylinder(r = ((REEL_INNER_D + REEL_D) / 4) - REEL_INNER_WALL_W, h = REEL_INNER_H + 1, center = true);
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cylinder(r = R((REEL_INNER_D + REEL_D) / 2), h = SPOKE_H, center = true);
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cylinder(r = R((REEL_INNER_D + REEL_D) / 2) - REEL_INNER_WALL_W, h = REEL_INNER_H + 1, center = true);
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}
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//spokes
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@ -91,7 +93,7 @@ module reel_top () {
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}
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}
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intersection () {
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cylinder(r = 30.5 / 2, h = 6, center = true);
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cylinder(r = R(30.5), h = 6, center = true);
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rotate([0, 45, 0]) cube([3, 31, 3], center = true);
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||||
}
|
||||
}
|
||||
|
@ -100,8 +102,8 @@ module reel_top () {
|
|||
|
||||
PART = "reel_frame";
|
||||
|
||||
if (PART == "reel_frame") {
|
||||
reel_frame();
|
||||
if (PART == "reel_spiral") {
|
||||
reel_spiral();
|
||||
} else if (PART == "reel_top") {
|
||||
rotate([180, 0, 0]) reel_top();
|
||||
}
|
||||
|
|
|
@ -1,195 +0,0 @@
|
|||
// 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);
|
||||
}*/
|
|
@ -1,372 +0,0 @@
|
|||
/*
|
||||
* 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
|
||||
]
|
||||
);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
File diff suppressed because it is too large
Load Diff
File diff suppressed because it is too large
Load Diff
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Reference in New Issue