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Good enough GP3D generated C36.10.fixed version
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| const jscad = require('@jscad/modeling') | |
| const { colorize } = jscad.colors | |
| const { cuboid, cube, sphere, cylinder, circle, polygon } = jscad.primitives | |
| const { rotate, translate } = jscad.transforms | |
| const { degToRad } = jscad.utils | |
| const { add, normalize, length, scale, dot } = jscad.maths.vec3 | |
| const { extrudeRotate, extrudeLinear } = require('@jscad/modeling').extrusions | |
| const { intersect, subtract, union } = require('@jscad/modeling').booleans | |
| const { hull, hullChain } = require('@jscad/modeling').hulls | |
| const { vectorText } = require('@jscad/modeling').text | |
| function map_3D(c, sc) { | |
| return [Math.cos(degToRad(c[0]))*Math.sin(degToRad(c[1]))*sc, Math.sin(degToRad(c[0]))*Math.sin(degToRad(c[1]))*sc, Math.cos(degToRad(c[1]))*sc] | |
| } | |
| eps = 0.000010000000000000000000000000000000000000 | |
| sc = 6.0000000000000000000000000000000000000 | |
| coords = [[105.94578365549577000000000000000000000, 89.014733792432000000000000000000000000], [129.05500192815840000000000000000000000, 107.73640651121319000000000000000000000], [122.30972392423993000000000000000000000, 127.71232355724267000000000000000000000], [180, 147.15863380965277000000000000000000000], [180, 169.05287793655090000000000000000000000], [225, 90], [245.10390936101710000000000000000000000, 71.030936286407240000000000000000000000], [270, 54.735610317245346000000000000000000000], [270, 32.841366190347210000000000000000000000], [270, 10.947122063449068000000000000000000000], [90, 10.947122063449068000000000000000000000], [90, 32.841366190347210000000000000000000000], [90, 54.735610317245346000000000000000000000], [113.18515789774465000000000000000000000, 70.534296480126410000000000000000000000], [75.597191140584300000000000000000000000, 88.773498385956340000000000000000000000], [69.533004156812780000000000000000000000, 67.450927679746330000000000000000000000], [52.788051575742460000000000000000000000, 82.282914879995500000000000000000000000], [37.211948424257540000000000000000000000, 97.717085120004500000000000000000000000], [334.41902365500374000000000000000000000, 79.064028274001700000000000000000000000], [336.04512254075354000000000000000000000, 106.63363351165339000000000000000000000], [313.71634396725690000000000000000000000, 115.57248257820386000000000000000000000], [0, 169.05287793655090000000000000000000000], [0, 147.15863380965277000000000000000000000], [57.874169844561420000000000000000000000, 128.24193035086205000000000000000000000], [51.312785609444290000000000000000000000, 109.85483368569070000000000000000000000], [20.466995843187217000000000000000000000, 112.54907232025364000000000000000000000], [0, 125.26438968275465000000000000000000000], [228.93428612206466000000000000000000000, 59.592336605822440000000000000000000000], [216.30156855049154000000000000000000000, 39.039035941107954000000000000000000000], [149.97041952940990000000000000000000000, 46.577649154052350000000000000000000000], [143.60969003773818000000000000000000000, 67.852545330701900000000000000000000000], [167.67349268606006000000000000000000000, 86.445690357926950000000000000000000000], [158.90949820473946000000000000000000000, 106.48216218396492000000000000000000000], [180, 125.26438968275465000000000000000000000], [204.89609063898290000000000000000000000, 108.96906371359275000000000000000000000], [200.50128981570253000000000000000000000, 85.002363559114030000000000000000000000]] | |
| function vertex(_v, half=false) { | |
| p = coords[_v] | |
| v = map_3D(p,sc) | |
| s = sphere({radius: 0.5, center: v}) | |
| if (half) { | |
| la1 = degToRad(p[0]) | |
| ph1 = degToRad(90 - p[1]) | |
| return colorize([0, 0.7, 0], | |
| subtract(s, | |
| translate([0, 0, 0], | |
| rotate([0, 0, la1], | |
| rotate([0, -ph1, 0], | |
| translate([sc+0.5, 0], | |
| rotate([degToRad(90), 0, degToRad(90)], | |
| translate([-0, -0, -1], | |
| cuboid({size: [1, 1, 0.8]}) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ) | |
| } else { | |
| return colorize([0, 0.7, 0], s) | |
| } | |
| } | |
| function txt(mesg, w) { | |
| const lineRadius = w / 2 | |
| const lineCorner = circle({ radius: lineRadius }) | |
| const lineSegmentPointArrays = vectorText({ x: 0, y: 0, height: 0.25, input: mesg }) | |
| const lineSegments = [] | |
| lineSegmentPointArrays.forEach(function(segmentPoints) { | |
| const corners = segmentPoints.map((point) => translate(point, lineCorner)) | |
| lineSegments.push(hullChain(corners)) | |
| }) | |
| const message2D = union(lineSegments) | |
| return extrudeLinear({ height: w }, message2D) | |
| } | |
| function vtxt(_p1, num) { | |
| str = num.toString() | |
| p1 = coords[_p1] | |
| la1 = degToRad(p1[0]) | |
| ph1 = degToRad(90 - p1[1]) | |
| return translate([0, 0, 0], | |
| rotate([0, 0, la1], | |
| rotate([0, -ph1, 0], | |
| translate([sc+0.5, 0.15-0.25*str.length], | |
| rotate([degToRad(90), 0, degToRad(90)], | |
| colorize([0, 0, 0], | |
| txt(str, 0.05) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ) | |
| } | |
| function edge(_v, _w, _e) { | |
| v = map_3D(coords[_v], sc) | |
| w = map_3D(coords[_w], sc) | |
| d = [0, 0, 0] | |
| x = [0, 0, 0] | |
| jscad.maths.vec3.subtract(d, w, v) | |
| add(x, v, w) | |
| scale(w, x, 0.5) | |
| if (length(d) >= eps) { | |
| return colorize([0, 0, 1, 1], | |
| translate(w, | |
| rotate([0, Math.acos(d[2]/length(d)), Math.atan2(d[1], d[0])], | |
| cylinder({radius: 0.1, height: length(d)}) | |
| ) | |
| ) | |
| ) | |
| } else { | |
| return cube({size: 0.01}) | |
| } | |
| } | |
| function edge2(_p1, _p2, _e) { | |
| p1 = coords[_p1] | |
| p2 = coords[_p2] | |
| // al/la/ph: alpha/lambda/phi | lxy/sxy: delta lambda_xy/sigma_xy | |
| // https://en.wikipedia.org/wiki/Great-circle_navigation#Course | |
| la1 = degToRad(p1[0]) | |
| la2 = degToRad(p2[0]) | |
| l12 = la2 - la1 | |
| ph1 = degToRad(90 - p1[1]) | |
| ph2 = degToRad(90 - p2[1]) | |
| al1 = Math.atan2(Math.cos(ph2)*Math.sin(l12), Math.cos(ph1)*Math.sin(ph2)-Math.sin(ph1)*Math.cos(ph2)*Math.cos(l12)) | |
| // delta sigma_12 | |
| // https://en.wikipedia.org/wiki/Great-circle_distance#Formulae | |
| s12 = Math.acos(Math.sin(ph1)*Math.sin(ph2)+Math.cos(ph1)*Math.cos(ph2)*Math.cos(l12)) | |
| return rotate([0, 0, la1], | |
| rotate([0, -ph1, 0], | |
| rotate([degToRad(90)-al1, 0, 0], | |
| colorize([0, 0, 0.7], | |
| extrudeRotate({segments: 32, angle: s12}, | |
| circle({radius: 0.1, center: [sc,0]}) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ) | |
| } | |
| function sp_tria2(r, tang, pang, thi, points, segments) { | |
| const coords = [] | |
| pts2 = Math.trunc(points / 2) | |
| for(i = 0; i<pts2; i=i+1) { | |
| th = i*(tang/(pts2-1)) | |
| coords.push([(r-thi/2)*Math.sin(th), (r-thi/2)*Math.cos(th)]) | |
| } | |
| for(i = pts2-1; i>=0; i=i-1) { | |
| th = i*(tang/(pts2-1)) | |
| coords.push([(r+thi/2)*Math.sin(th), (r+thi/2)*Math.cos(th)]) | |
| } | |
| return extrudeRotate({segments: segments, angle: pang}, | |
| polygon({points: coords}) | |
| ) | |
| } | |
| function sp_tria(_p1, _p2, _p3, sub) { | |
| p1 = coords[_p1] | |
| p2 = coords[_p2] | |
| p3 = coords[_p3] | |
| // al/la/ph: alpha/lambda/phi | lxy/sxy: delta lambda_xy/sigma_xy | |
| // https://en.wikipedia.org/wiki/Great-circle_navigation#Course | |
| la1 = degToRad(p1[0]) | |
| la2 = degToRad(p2[0]) | |
| la3 = degToRad(p3[0]) | |
| l12 = la2 - la1 | |
| l13 = la3 - la1 | |
| l32 = la2 - la3 | |
| l23 = la3 - la2 | |
| l31 = la1 - la3 | |
| ph1 = degToRad(90 - p1[1]) | |
| ph2 = degToRad(90 - p2[1]) | |
| ph3 = degToRad(90 - p3[1]) | |
| al12 = Math.atan2(Math.cos(ph2)*Math.sin(l12), Math.cos(ph1)*Math.sin(ph2)-Math.sin(ph1)*Math.cos(ph2)*Math.cos(l12)) | |
| al13 = Math.atan2(Math.cos(ph3)*Math.sin(l13), Math.cos(ph1)*Math.sin(ph3)-Math.sin(ph1)*Math.cos(ph3)*Math.cos(l13)) | |
| al31 = Math.atan2(Math.cos(ph1)*Math.sin(l31), Math.cos(ph3)*Math.sin(ph1)-Math.sin(ph3)*Math.cos(ph1)*Math.cos(l31)) | |
| al32 = Math.atan2(Math.cos(ph2)*Math.sin(l32), Math.cos(ph3)*Math.sin(ph2)-Math.sin(ph3)*Math.cos(ph2)*Math.cos(l32)) | |
| // delta sigma_xy | |
| // https://en.wikipedia.org/wiki/Great-circle_distance#Formulae | |
| s12 = Math.acos(Math.sin(ph1)*Math.sin(ph2)+Math.cos(ph1)*Math.cos(ph2)*Math.cos(l12)) | |
| s23 = Math.acos(Math.sin(ph2)*Math.sin(ph3)+Math.cos(ph2)*Math.cos(ph3)*Math.cos(l23)) | |
| s13 = Math.acos(Math.sin(ph1)*Math.sin(ph3)+Math.cos(ph1)*Math.cos(ph3)*Math.cos(l13)) | |
| if (s13 < s12) { | |
| if (s12 >= s23) { | |
| return sp_tria(_p1, _p3, _p2, sub) | |
| } else { | |
| return sp_tria(_p2, _p1, _p3, sub) | |
| } | |
| } else { | |
| if (s13 < s23) { | |
| return sp_tria(_p2, _p1, _p3, sub) | |
| } else if (Math.abs(s13-s12-s23) >= eps) { | |
| function mpi(ang) { return (ang < -Math.PI) ? 2*Math.PI + ang : ((ang > Math.PI) ? ang - 2*Math.PI : ang) } | |
| v1 = map_3D(p1, 1) | |
| v2 = map_3D(p2, 1) | |
| v3 = map_3D(p3, 1) | |
| ms = [0, 0, 0] | |
| ms2 = [0, 0, 0] | |
| sv1=[0, 0, 0] | |
| sv2=[0, 0, 0] | |
| sv3=[0, 0, 0] | |
| s1=[0, 0, 0] | |
| s2=[0, 0, 0] | |
| s3=[0, 0, 0] | |
| add(ms, v1, v2) | |
| add(ms, ms, v3) | |
| normalize(ms2, ms) | |
| mi = Math.min(dot(v1, ms2), dot(v2, ms2), dot(v3, ms2)) | |
| scale(sv1, v1, sc) | |
| scale(sv2, v2, sc) | |
| scale(sv3, v3, sc) | |
| scale(s1, sv1, 1/mi) | |
| scale(s2, sv2, 1/mi) | |
| scale(s3, sv3, 1/mi) | |
| return colorize([0.5, 0.5, 0.5], | |
| subtract( | |
| intersect( | |
| union( | |
| translate([0, 0, 0], | |
| rotate([0, 0, la1-degToRad(180)], | |
| rotate([0, ph1-degToRad(90), 0], | |
| rotate([0,0,-al13], | |
| sp_tria2(sc, s12, mpi(al13-al12), 0.1, 24, 30) | |
| ) | |
| ) | |
| ) | |
| ), | |
| translate([0, 0, 0], | |
| rotate([0, 0, la3-degToRad(180)], | |
| rotate([0, ph3-degToRad(90), 0], | |
| rotate([0, 0, -al31], | |
| sp_tria2(sc, s23, mpi(al31-al32), 0.1, 24, 30) | |
| ) | |
| ) | |
| ) | |
| ) | |
| ), | |
| hull( | |
| cube({center: sv1, size: 0.01}) | |
| ,cube({center: sv2, size: 0.01}) | |
| ,cube({center: sv3, size: 0.01}) | |
| ,cube({center: s1, size: 0.01}) | |
| ,cube({center: s2, size: 0.01}) | |
| ,cube({center: s3, size: 0.01}) | |
| ) | |
| ) | |
| ,sub) | |
| ) | |
| } else { | |
| return cube({size: 0.01}) | |
| } | |
| } | |
| } | |
| function main(params) { | |
| t0=new Date().getTime() | |
| sub = [cube({size: (params.look_inside === 'yes')?sc+0.1:0.01, center: [sc/2,-sc/2,sc/2]})] | |
| pentagons = (params.faces !== 'Pentagons') ? [] : [[] | |
| ,sp_tria( 13 , 0 , 14 , sub) | |
| ,sp_tria( 13 , 14 , 15 , sub) | |
| ,sp_tria( 13 , 15 , 12 , sub) | |
| ,sp_tria( 2 , 1 , 32 , sub) | |
| ,sp_tria( 2 , 32 , 33 , sub) | |
| ,sp_tria( 2 , 33 , 3 , sub) | |
| ,sp_tria( 4 , 3 , 33 , sub) | |
| ,sp_tria( 4 , 33 , 34 , sub) | |
| ,sp_tria( 4 , 34 , 5 , sub) | |
| ,sp_tria( 21 , 4 , 5 , sub) | |
| ,sp_tria( 21 , 5 , 6 , sub) | |
| ,sp_tria( 21 , 6 , 20 , sub) | |
| ,sp_tria( 8 , 7 , 27 , sub) | |
| ,sp_tria( 8 , 27 , 28 , sub) | |
| ,sp_tria( 8 , 28 , 9 , sub) | |
| ,sp_tria( 10 , 9 , 28 , sub) | |
| ,sp_tria( 10 , 28 , 29 , sub) | |
| ,sp_tria( 10 , 29 , 11 , sub) | |
| ,sp_tria( 16 , 10 , 11 , sub) | |
| ,sp_tria( 16 , 11 , 12 , sub) | |
| ,sp_tria( 16 , 12 , 15 , sub) | |
| ,sp_tria( 12 , 11 , 29 , sub) | |
| ,sp_tria( 12 , 29 , 30 , sub) | |
| ,sp_tria( 12 , 30 , 13 , sub) | |
| ,sp_tria( 18 , 17 , 25 , sub) | |
| ,sp_tria( 18 , 25 , 26 , sub) | |
| ,sp_tria( 18 , 26 , 19 , sub) | |
| ,sp_tria( 20 , 19 , 26 , sub) | |
| ,sp_tria( 20 , 26 , 22 , sub) | |
| ,sp_tria( 20 , 22 , 21 , sub) | |
| ,sp_tria( 23 , 22 , 26 , sub) | |
| ,sp_tria( 23 , 26 , 25 , sub) | |
| ,sp_tria( 23 , 25 , 24 , sub) | |
| ,sp_tria( 32 , 31 , 35 , sub) | |
| ,sp_tria( 32 , 35 , 34 , sub) | |
| ,sp_tria( 32 , 34 , 33 , sub) | |
| ] | |
| sixcol = (params.faces !== '6coloring') ? [] : [[] | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 0 , 32 , 1 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 0 , 31 , 32 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 0 , 30 , 31 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 0 , 13 , 30 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 13 , 15 , 12 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 13 , 14 , 15 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 13 , 0 , 14 , sub)) | |
| , colorize( [0, 0, 0.90000000000000000000000000000000000000] , sp_tria( 14 , 23 , 24 , sub)) | |
| , colorize( [0, 0, 0.90000000000000000000000000000000000000] , sp_tria( 14 , 2 , 23 , sub)) | |
| , colorize( [0, 0, 0.90000000000000000000000000000000000000] , sp_tria( 14 , 1 , 2 , sub)) | |
| , colorize( [0, 0, 0.90000000000000000000000000000000000000] , sp_tria( 14 , 0 , 1 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 2 , 33 , 3 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 2 , 32 , 33 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 2 , 1 , 32 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 23 , 21 , 22 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 23 , 4 , 21 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 23 , 3 , 4 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 23 , 2 , 3 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 4 , 34 , 5 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 4 , 33 , 34 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 4 , 3 , 33 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 21 , 6 , 20 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 21 , 5 , 6 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 21 , 4 , 5 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 6 , 27 , 7 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 6 , 35 , 27 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 6 , 34 , 35 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 6 , 5 , 34 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 20 , 18 , 19 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 20 , 8 , 18 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 20 , 7 , 8 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 20 , 6 , 7 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 8 , 28 , 9 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 8 , 27 , 28 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 8 , 7 , 27 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 18 , 16 , 17 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 18 , 10 , 16 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 18 , 9 , 10 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 18 , 8 , 9 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 10 , 29 , 11 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 10 , 28 , 29 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 10 , 9 , 28 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 16 , 12 , 15 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 16 , 11 , 12 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 16 , 10 , 11 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 12 , 30 , 13 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 12 , 29 , 30 , sub)) | |
| , colorize( [0.70000000000000000000000000000000000000, 0, 0.70000000000000000000000000000000000000] , sp_tria( 12 , 11 , 29 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 15 , 17 , 16 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 15 , 25 , 17 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 15 , 24 , 25 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 15 , 14 , 24 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 18 , 26 , 19 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 18 , 25 , 26 , sub)) | |
| , colorize( [0.90000000000000000000000000000000000000, 0.E-38, 0] , sp_tria( 18 , 17 , 25 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 20 , 22 , 21 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 20 , 26 , 22 , sub)) | |
| , colorize( [0, 0.70000000000000000000000000000000000000, 0.70000000000000000000000000000000000000] , sp_tria( 20 , 19 , 26 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 23 , 25 , 24 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 23 , 26 , 25 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 23 , 22 , 26 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 28 , 30 , 29 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 28 , 31 , 30 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 28 , 35 , 31 , sub)) | |
| , colorize( [0, 0.90000000000000000000000000000000000000, 0] , sp_tria( 28 , 27 , 35 , sub)) | |
| , colorize( [0, 0, 0.90000000000000000000000000000000000000] , sp_tria( 32 , 34 , 33 , sub)) | |
| , colorize( [0, 0, 0.90000000000000000000000000000000000000] , sp_tria( 32 , 35 , 34 , sub)) | |
| , colorize( [0, 0, 0.90000000000000000000000000000000000000] , sp_tria( 32 , 31 , 35 , sub)) | |
| ] | |
| white = (!params.white) ? [] : [[] | |
| , colorize([1,1,1], | |
| subtract( | |
| sphere({radius: sc, segments: 30}) | |
| ,sphere({radius: sc-0.1, segments: 30}) | |
| ,sub | |
| ) | |
| ) | |
| ] | |
| vtype = [ [ 0 , coords[ 0 ][1].toFixed(1), coords[ 0 ][0].toFixed(1)] | |
| ,[ 1 , coords[ 1 ][1].toFixed(1), coords[ 1 ][0].toFixed(1)] | |
| ,[ 2 , coords[ 2 ][1].toFixed(1), coords[ 2 ][0].toFixed(1)] | |
| ,[ 3 , coords[ 3 ][1].toFixed(1), coords[ 3 ][0].toFixed(1)] | |
| ,[ 4 , coords[ 4 ][1].toFixed(1), coords[ 4 ][0].toFixed(1)] | |
| ,[ 5 , coords[ 5 ][1].toFixed(1), coords[ 5 ][0].toFixed(1)] | |
| ,[ 6 , coords[ 6 ][1].toFixed(1), coords[ 6 ][0].toFixed(1)] | |
| ,[ 7 , coords[ 7 ][1].toFixed(1), coords[ 7 ][0].toFixed(1)] | |
| ,[ 8 , coords[ 8 ][1].toFixed(1), coords[ 8 ][0].toFixed(1)] | |
| ,[ 9 , coords[ 9 ][1].toFixed(1), coords[ 9 ][0].toFixed(1)] | |
| ,[ 10 , coords[ 10 ][1].toFixed(1), coords[ 10 ][0].toFixed(1)] | |
| ,[ 11 , coords[ 11 ][1].toFixed(1), coords[ 11 ][0].toFixed(1)] | |
| ,[ 12 , coords[ 12 ][1].toFixed(1), coords[ 12 ][0].toFixed(1)] | |
| ,[ 13 , coords[ 13 ][1].toFixed(1), coords[ 13 ][0].toFixed(1)] | |
| ,[ 14 , coords[ 14 ][1].toFixed(1), coords[ 14 ][0].toFixed(1)] | |
| ,[ 15 , coords[ 15 ][1].toFixed(1), coords[ 15 ][0].toFixed(1)] | |
| ,[ 16 , coords[ 16 ][1].toFixed(1), coords[ 16 ][0].toFixed(1)] | |
| ,[ 17 , coords[ 17 ][1].toFixed(1), coords[ 17 ][0].toFixed(1)] | |
| ,[ 18 , coords[ 18 ][1].toFixed(1), coords[ 18 ][0].toFixed(1)] | |
| ,[ 19 , coords[ 19 ][1].toFixed(1), coords[ 19 ][0].toFixed(1)] | |
| ,[ 20 , coords[ 20 ][1].toFixed(1), coords[ 20 ][0].toFixed(1)] | |
| ,[ 21 , coords[ 21 ][1].toFixed(1), coords[ 21 ][0].toFixed(1)] | |
| ,[ 22 , coords[ 22 ][1].toFixed(1), coords[ 22 ][0].toFixed(1)] | |
| ,[ 23 , coords[ 23 ][1].toFixed(1), coords[ 23 ][0].toFixed(1)] | |
| ,[ 24 , coords[ 24 ][1].toFixed(1), coords[ 24 ][0].toFixed(1)] | |
| ,[ 25 , coords[ 25 ][1].toFixed(1), coords[ 25 ][0].toFixed(1)] | |
| ,[ 26 , coords[ 26 ][1].toFixed(1), coords[ 26 ][0].toFixed(1)] | |
| ,[ 27 , coords[ 27 ][1].toFixed(1), coords[ 27 ][0].toFixed(1)] | |
| ,[ 28 , coords[ 28 ][1].toFixed(1), coords[ 28 ][0].toFixed(1)] | |
| ,[ 29 , coords[ 29 ][1].toFixed(1), coords[ 29 ][0].toFixed(1)] | |
| ,[ 30 , coords[ 30 ][1].toFixed(1), coords[ 30 ][0].toFixed(1)] | |
| ,[ 31 , coords[ 31 ][1].toFixed(1), coords[ 31 ][0].toFixed(1)] | |
| ,[ 32 , coords[ 32 ][1].toFixed(1), coords[ 32 ][0].toFixed(1)] | |
| ,[ 33 , coords[ 33 ][1].toFixed(1), coords[ 33 ][0].toFixed(1)] | |
| ,[ 34 , coords[ 34 ][1].toFixed(1), coords[ 34 ][0].toFixed(1)] | |
| ,[ 35 , coords[ 35 ][1].toFixed(1), coords[ 35 ][0].toFixed(1)] | |
| ] | |
| tvtxt = (params.vtxt === 'theta') ? 1 : (params.vtxt === 'phi') ? 2 : 0 | |
| vtxts = (params.vtxt === 'None') ? [] : [ | |
| vtxt( 0 , vtype[ 0 ][tvtxt]) | |
| ,vtxt( 1 , vtype[ 1 ][tvtxt]) | |
| ,vtxt( 2 , vtype[ 2 ][tvtxt]) | |
| ,vtxt( 3 , vtype[ 3 ][tvtxt]) | |
| ,vtxt( 4 , vtype[ 4 ][tvtxt]) | |
| ,vtxt( 5 , vtype[ 5 ][tvtxt]) | |
| ,vtxt( 6 , vtype[ 6 ][tvtxt]) | |
| ,vtxt( 7 , vtype[ 7 ][tvtxt]) | |
| ,vtxt( 8 , vtype[ 8 ][tvtxt]) | |
| ,vtxt( 9 , vtype[ 9 ][tvtxt]) | |
| ,vtxt( 10 , vtype[ 10 ][tvtxt]) | |
| ,vtxt( 11 , vtype[ 11 ][tvtxt]) | |
| ,vtxt( 12 , vtype[ 12 ][tvtxt]) | |
| ,vtxt( 13 , vtype[ 13 ][tvtxt]) | |
| ,vtxt( 14 , vtype[ 14 ][tvtxt]) | |
| ,vtxt( 15 , vtype[ 15 ][tvtxt]) | |
| ,vtxt( 16 , vtype[ 16 ][tvtxt]) | |
| ,vtxt( 17 , vtype[ 17 ][tvtxt]) | |
| ,vtxt( 18 , vtype[ 18 ][tvtxt]) | |
| ,vtxt( 19 , vtype[ 19 ][tvtxt]) | |
| ,vtxt( 20 , vtype[ 20 ][tvtxt]) | |
| ,vtxt( 21 , vtype[ 21 ][tvtxt]) | |
| ,vtxt( 22 , vtype[ 22 ][tvtxt]) | |
| ,vtxt( 23 , vtype[ 23 ][tvtxt]) | |
| ,vtxt( 24 , vtype[ 24 ][tvtxt]) | |
| ,vtxt( 25 , vtype[ 25 ][tvtxt]) | |
| ,vtxt( 26 , vtype[ 26 ][tvtxt]) | |
| ,vtxt( 27 , vtype[ 27 ][tvtxt]) | |
| ,vtxt( 28 , vtype[ 28 ][tvtxt]) | |
| ,vtxt( 29 , vtype[ 29 ][tvtxt]) | |
| ,vtxt( 30 , vtype[ 30 ][tvtxt]) | |
| ,vtxt( 31 , vtype[ 31 ][tvtxt]) | |
| ,vtxt( 32 , vtype[ 32 ][tvtxt]) | |
| ,vtxt( 33 , vtype[ 33 ][tvtxt]) | |
| ,vtxt( 34 , vtype[ 34 ][tvtxt]) | |
| ,vtxt( 35 , vtype[ 35 ][tvtxt]) | |
| ] | |
| ret = [ | |
| ,vertex( 0 , params.half !== 'none') | |
| ,vertex( 1 , params.half !== 'none') | |
| ,vertex( 2 , params.half !== 'none') | |
| ,vertex( 3 , params.half === 'all') | |
| ,vertex( 4 , params.half === 'all') | |
| ,vertex( 5 , params.half === 'all') | |
| ,vertex( 6 , params.half === 'all') | |
| ,colorize([0.7, 0, 0], vertex( 7 , params.half === 'all')) | |
| ,vertex( 8 , params.half === 'all') | |
| ,vertex( 9 , params.half === 'all') | |
| ,vertex( 10 , params.half === 'all') | |
| ,vertex( 11 , params.half === 'all') | |
| ,colorize([0.7, 0, 0], vertex( 12 , params.half === 'all')) | |
| ,vertex( 13 , params.half !== 'none') | |
| ,vertex( 14 , params.half !== 'none') | |
| ,vertex( 15 , params.half === 'all') | |
| ,vertex( 16 , params.half === 'all') | |
| ,vertex( 17 , params.half === 'all') | |
| ,vertex( 18 , params.half !== 'none') | |
| ,vertex( 19 , params.half !== 'none') | |
| ,vertex( 20 , params.half !== 'none') | |
| ,vertex( 21 , params.half === 'all') | |
| ,vertex( 22 , params.half === 'all') | |
| ,vertex( 23 , params.half !== 'none') | |
| ,vertex( 24 , params.half !== 'none') | |
| ,vertex( 25 , params.half === 'all') | |
| ,colorize([0.7, 0, 0], vertex( 26 , params.half === 'all')) | |
| ,vertex( 27 , params.half !== 'none') | |
| ,vertex( 28 , params.half !== 'none') | |
| ,vertex( 29 , params.half !== 'none') | |
| ,vertex( 30 , params.half !== 'none') | |
| ,vertex( 31 , params.half !== 'none') | |
| ,vertex( 32 , params.half !== 'none') | |
| ,colorize([0.7, 0, 0], vertex( 33 , params.half === 'all')) | |
| ,vertex( 34 , params.half === 'all') | |
| ,vertex( 35 , params.half !== 'none') | |
| ,edge2( 0 , 13 , 0 ) | |
| ,edge2( 0 , 14 , 0 ) | |
| ,edge2( 0 , 1 , 0 ) | |
| ,edge2( 1 , 2 , 0 ) | |
| ,edge2( 1 , 32 , 0 ) | |
| ,edge2( 2 , 23 , 0 ) | |
| ,edge2( 2 , 3 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 3 , 4 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 3 , 33 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 4 , 21 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 4 , 5 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 5 , 6 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 5 , 34 , 0 )) | |
| ,edge2( 6 , 20 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 6 , 7 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 7 , 8 , 0 )) | |
| ,edge2( 7 , 27 , 0 ) | |
| ,edge2( 8 , 18 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 8 , 9 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 9 , 10 , 0 )) | |
| ,edge2( 9 , 28 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 10 , 16 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 10 , 11 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 11 , 12 , 0 )) | |
| ,edge2( 11 , 29 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 12 , 15 , 0 )) | |
| ,edge2( 12 , 13 , 0 ) | |
| ,edge2( 13 , 30 , 0 ) | |
| ,edge2( 14 , 15 , 0 ) | |
| ,edge2( 14 , 24 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 15 , 16 , 0 )) | |
| ,colorize([1,0.66666,0],edge2( 16 , 17 , 0 )) | |
| ,edge2( 17 , 18 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 17 , 25 , 0 )) | |
| ,edge2( 18 , 19 , 0 ) | |
| ,edge2( 19 , 20 , 0 ) | |
| ,edge2( 19 , 26 , 0 ) | |
| ,edge2( 20 , 21 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 21 , 22 , 0 )) | |
| ,edge2( 22 , 23 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 22 , 26 , 0 )) | |
| ,edge2( 23 , 24 , 0 ) | |
| ,edge2( 24 , 25 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 25 , 26 , 0 )) | |
| ,edge2( 27 , 28 , 0 ) | |
| ,edge2( 27 , 35 , 0 ) | |
| ,edge2( 28 , 29 , 0 ) | |
| ,edge2( 29 , 30 , 0 ) | |
| ,edge2( 30 , 31 , 0 ) | |
| ,edge2( 31 , 32 , 0 ) | |
| ,edge2( 31 , 35 , 0 ) | |
| ,edge2( 32 , 33 , 0 ) | |
| ,colorize([1,0.66666,0],edge2( 33 , 34 , 0 )) | |
| ,edge2( 34 , 35 , 0 ) | |
| ,pentagons | |
| ,sixcol | |
| ,white | |
| ,vtxts | |
| ] | |
| console.log("dt="+(new Date().getTime()-t0)+"ms") | |
| return ret } | |
| function getParameterDefinitions() { | |
| return [ | |
| { name: 'faces', type: 'choice', values: ['Pentagons', '6coloring', 'None'], initial: 'Pentagons', caption: 'face coloring:' }, | |
| ,{ name: 'white', type: 'checkbox', checked: true, initial: '20', caption: 'surface of sphere:' }, | |
| ,{ name: 'half', type: 'choice', values: ['none', 'some', 'all'], initial: 'some', caption: 'half vertex:' }, | |
| ,{ name: 'vtxt', type: 'choice', values: ['Id', 'theta', 'phi', 'None'], initial: 'Id', caption: 'vtxt:' }, | |
| ,{ name: 'look_inside', type: 'choice', values: ['no', 'yes'], initial: 'no', caption: 'look_inside:' } | |
| ]; | |
| } | |
| module.exports = { main, getParameterDefinitions } |
With "surface of sphere" turned off, effect of "half vertex" for those vertices not on separating circle can be seen best:
With commit
Hermann-SW/GP3D@203b37b
render time [ms] gets logged to browser console. Updated this gist to new output created with command from two comments above.
One hopefully last commit to sphere_embedding.gp:
Hermann-SW/GP3D@967dccb
Does change "half vertex" from checkbox to choice.
Just updated this gist with new slightly changed output.
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