Created
January 23, 2021 12:55
-
-
Save hrgdavor/c63e34f862aab00cf9253daf2e071812 to your computer and use it in GitHub Desktop.
Configurable hypercube(tesseract) for 3D print
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
/* | |
Configurable hypercube(tesseract) https://en.wikipedia.org/wiki/Tesseract | |
Used it for 3D printing for a friend and to play with jscad. | |
@author Davor Hrg (https://github.com/hrgdavor) | |
*/ | |
const {primitives, transforms, maths, extrusions, geometries} = require('@jscad/modeling') | |
const {translate, rotate, transform} = transforms | |
const {cylinder, sphere, circle} =primitives | |
const { extrudeFromSlices, slice, extrudeLinear } = extrusions | |
const { geom2, geom3, path2, poly2, poly3 } = geometries | |
const { mat4 } = maths | |
function getParameterDefinitions() { | |
return [ | |
{name:'withStand',caption:'With stand', type:'checkbox', checked:true}, | |
{name:'len1',caption:'Outer side', type:'int', initial:30}, | |
{name:'len2',caption:'Inner side', type:'int', initial:15}, | |
{name:'diameter',caption:'Thickness', type:'int', initial:3}, | |
{name:'baseD',caption:'Base diameter', type:'int', initial:12, min:12}, | |
{name:'baseH',caption:'Base height', type:'int', initial:4}, | |
{name:'baseTh',caption:'Base thickness', type:'int', initial:1}, | |
] | |
} | |
function main({withStand=1, diameter =1.5, baseD = 6, baseH = 4, baseTh=1,len1 = 30, len2 = 15}){ | |
var baseR = baseD / 2 | |
var radius = diameter /2 | |
var offset1 = len1 / 2 | |
var offset2 = len2 / 2 | |
var hyperCube = [ | |
..._square(len1,radius), | |
..._square(len2,radius), | |
...diagonals(offset1, offset2, radius, 1), | |
...diagonals(offset1, offset2, radius,-1), | |
] | |
var rot = rotationMatrixFromVectors([1,1,1],[0,0,1]) | |
var step = (baseH - baseTh) / 5 | |
var levels = [ | |
[0,baseR/radius], | |
[baseTh,baseR/radius], | |
[0.001,2.4], | |
[step/2,2], | |
[step/2,1.6], | |
[step,1.3], | |
[step*2,1.1], | |
[step,1], | |
] | |
if(withStand){ | |
return [ | |
extrudeScaleLevels({levels, baseSlice: circle({radius})}), | |
translate([0,0,offset1*Math.sqrt(3)+baseH],transform(rot, hyperCube)), | |
] | |
} | |
return hyperCube | |
} | |
function diagonals(offset1, offset2, r, zDir=1){ | |
return [ | |
cylinderFromTo([-offset1,-offset1,offset1*zDir],[-offset2,-offset2,offset2*zDir],r), | |
cylinderFromTo([ offset1,-offset1,offset1*zDir],[ offset2,-offset2,offset2*zDir],r), | |
cylinderFromTo([ offset1, offset1,offset1*zDir],[ offset2, offset2,offset2*zDir],r), | |
cylinderFromTo([-offset1, offset1,offset1*zDir],[-offset2, offset2,offset2*zDir],r), | |
] | |
} | |
function _square(len1, r){ | |
var offset = len1 / 2; | |
return [ | |
...cylinderSq(offset, r, -offset), | |
...sphereSq(offset,r,-offset), | |
...cylinderSq(offset, r, offset), | |
...sphereSq(offset,r,offset), | |
...cylinderSqUp(offset, r, offset), | |
] | |
} | |
function cylinderSq(offset, r, z=0){ | |
return [ | |
cylinderFromTo([-offset,-offset,z],[ offset,-offset,z],r), | |
cylinderFromTo([-offset, offset,z],[ offset, offset,z],r), | |
cylinderFromTo([-offset, offset,z],[-offset,-offset,z],r), | |
cylinderFromTo([ offset, offset,z],[ offset,-offset,z],r), | |
] | |
} | |
function cylinderSqUp(offset, r, z=0){ | |
return [ | |
cylinderFromTo([-offset,-offset,-z],[-offset,-offset,z],r), | |
cylinderFromTo([-offset, offset,-z],[-offset, offset,z],r), | |
cylinderFromTo([ offset,-offset,-z],[ offset,-offset,z],r), | |
cylinderFromTo([ offset, offset,-z],[ offset, offset,z],r), | |
] | |
} | |
function sphereSq(offset, r, z=0){ | |
return [ | |
translate([-offset,-offset,z], sphere({radius:r})), | |
translate([-offset, offset,z], sphere({radius:r})), | |
translate([ offset, -offset,z], sphere({radius:r})), | |
translate([ offset, offset,z], sphere({radius:r})), | |
] | |
} | |
function cylinderFromTo(p1,p2, radius){ | |
const sqr = x=>x*x | |
let dx = p2[0] - p1[0] | |
let dy = p2[1] - p1[1] | |
let dz = p2[2] - p1[2] | |
let height = Math.sqrt( sqr(dx) + sqr(dy) + sqr(dz)) | |
let obj = cylinder({radius, height}) | |
if(dx || dy){ | |
let dxy = Math.sqrt( sqr(dx) + sqr(dy)) | |
let ay = Math.atan(dxy/dz) *(dx < 0 ? -1:1) | |
let az = Math.atan(dy/dx) | |
let ax = dz < 0 ? -Math.PI:0 | |
obj = rotate([ax,ay,az], obj) | |
} | |
let mid = [p1[0]+dx/2,p1[1]+dy/2,p1[2]+dz/2] | |
return translate(mid, obj) | |
} | |
function rotationMatrixFromVectors (srcVector, targetVector) { | |
// From https://gist.github.com/kevinmoran/b45980723e53edeb8a5a43c49f134724 | |
srcVector = maths.vec3.normalize(srcVector) | |
targetVector = maths.vec3.normalize(targetVector) | |
const axis = maths.vec3.cross(targetVector, srcVector) | |
const cosA = maths.vec3.dot(targetVector, srcVector) | |
const k = 1 / (1 + cosA) | |
return maths.mat4.fromValues( | |
(axis[0] * axis[0] * k) + cosA, (axis[1] * axis[0] * k) - axis[2], (axis[2] * axis[0] * k) + axis[1], 0, | |
(axis[0] * axis[1] * k) + axis[2], (axis[1] * axis[1] * k) + cosA, (axis[2] * axis[1] * k) - axis[0], 0, | |
(axis[0] * axis[2] * k) - axis[1], (axis[1] * axis[2] * k) + axis[0], (axis[2] * axis[2] * k) + cosA, 0, | |
0, 0, 0, 1 | |
) | |
} | |
const extrudeScaleLevels = ({levels, baseSlice, corners='edge', segments=16, tz=0, tx=0, ty=0}) => { | |
var h = 0; | |
baseSlice = slice.fromSides(geom2.toSides(baseSlice)) | |
return extrudeFromSlices({numberOfSlices:levels.length, callback:(progress, counter)=>{ | |
var level = levels[counter]; | |
h += level[0]; | |
var scaleX = scaleY = level[1]; | |
if(level.length > 2) scaleY = level[2]; | |
const scaleMatrix = mat4.fromScaling([scaleX, scaleY, 1]) | |
const transformMatrix = mat4.fromTranslation([0, 0, h]) | |
return slice.transform(mat4.multiply(scaleMatrix, transformMatrix), baseSlice) | |
}}); | |
} | |
module.exports = {main, getParameterDefinitions} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment