File:Translucent Jessen icosahedron.svg
Summary
| Description |
English: Translucent Jessen icosahedron |
| Date | |
| Source | Own work |
| Author | David Eppstein |
Source code
import numpy, svg3d, pyrr, math
def rot(a,b,c):
return [(a,b,c),(b,c,a),(c,a,b)]
def orthants(V):
return [[i for i in range(len(V)) if V[i][0]*x >= 0 and V[i][1]*y >= 0 and V[i][2]*z >= 0] for x in [-1,1] for y in [-1,1] for z in [-1,1]]
def wide(V):
def isbase(i,j):
for k in [0,1,2]:
if V[i][k] in [1,-1]:
if V[j][k] != 0:
return False
elif V[i][k] == 0:
if V[j][k] not in [2,-2]:
return False
else:
if V[i][k]*V[j][k] < 0:
return False
return True
return [[i]+[j for j in range(len(V)) if isbase(i,j)] for i in range(len(V))]
def get_faces():
f = math.sqrt(2.0) / 2.0
verts = numpy.float32(rot(2,1,0)+rot(2,-1,0)+rot(-2,-1,0)+rot(-2,1,0))
triangles = numpy.int32(orthants(verts)+wide(verts))
return 7.5 * verts[triangles]
def generate_svg(filename):
view = pyrr.matrix44.create_look_at(
eye=[66, 36, 108], target=[0, 0, 0], up=[0, 1, 0]
)
projection = pyrr.matrix44.create_perspective_projection(
fovy=15, aspect=1, near=10, far=200
)
camera = svg3d.Camera(view, projection)
style = dict(
fill="#D8F0FF",
fill_opacity="0.8",
stroke="black",
stroke_linejoin="round",
stroke_width="0.005",
)
mesh = svg3d.Mesh(get_faces(), style=style)
view = svg3d.View(camera, svg3d.Scene([mesh]))
svg3d.Engine([view]).render(filename)
generate_svg("jessen.svg")
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
  |
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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