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File:Triaugmented triangular prism (symmetric view).svg

Original file ‎(SVG file, nominally 440 × 413 pixels, file size: 650 bytes)

Captions

Captions

Symmetric view of a triaugmented triangular prism

Summary edit

Description
English: Symmetric view of a triaugmented triangular prism
Date
Source Own work
Author David Eppstein

Licensing edit

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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.

Source code edit 

   import numpy, svg3d, pyrr, math

   midnum = 1+6**0.5
   midden = 2*3**0.5
   ort = 3**-0.5
   top = [(-1,-ort,1),(0,2*ort,1),(1,-ort,1)]
   mid = [(midnum/2,midnum/midden,0),(0,-2**0.5-ort,0),(-midnum/2,midnum/midden,0)]
   bot = [(-1,-ort,-1),(0,2*ort,-1),(1,-ort,-1)]

   def step(i):
       i += 1
       if i % 3 == 0:
           i -= 3
       return i

   def rot(a,b,c):
       out=a,b,c
       a,b,c = step(a),step(b),step(c)
       out += a,b,c
       a,b,c = step(a),step(b),step(c)
       out += a,b,c
       return out

   def get_faces():
       verts = numpy.float32(top+mid+bot)
       triangles = [[0,1,2],[6,7,8]]+rot(0,1,5)+rot(6,7,5)+rot(0,6,4)+rot(0,6,5)
       return 7.5 * verts[numpy.int32(triangles)]

   def generate_svg(filename):
       view = pyrr.matrix44.create_look_at(
           eye=[0,0,60], target=[0, 0, 0], up=[0, -1, 0]
       )
       projection = pyrr.matrix44.create_perspective_projection(
           fovy=30, 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("Triaugmented_triangular_prism_(symmetric_view).svg")

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Date/TimeThumbnailDimensionsUserComment
current21:43, 27 September 2022Thumbnail for version as of 21:43, 27 September 2022440 × 413 (650 bytes)David Eppstein (talk | contribs)Uploaded own work with UploadWizard

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