File:Sphericon.stl

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Original file(5,120 × 2,880 pixels, file size: 31 KB, MIME type: application/sla)

Captions

An ASCII STL of a sphericon

Captions

View Sphericon.stl  on viewstl.com

Summary[edit]

Description
English: An ASCII STL of a sphericon by CMG Lee.
Date
Source Own work
Author Cmglee
#!/usr/bin/env python

solid_name  = 'ASCII_STL_of_a_sphericon_by_CMG_Lee'
n_face_side = 60
r           = 1000

import re, io, math
def fmt(string): ## string.format(**vars()) using tags {expression!format} by CMG Lee
 def f(tag): i_sep = tag.rfind('!'); return (re.sub('\.0+$', '', str(eval(tag[1:-1])))
  if (i_sep < 0) else ('{:%s}' % tag[i_sep + 1:-1]).format(eval(tag[1:i_sep])))
 return (re.sub(r'(?<!{){[^{}]+}', lambda m:f(m.group()), string)
         .replace('{{', '{').replace('}}', '}'))
def append(obj, string): return obj.append(fmt(string))
def tabbify(cellss, separator='|'):
 cellpadss = [list(rows) + [''] * (len(max(cellss, key=len)) - len(rows)) for rows in cellss]
 fmts = ['%%%ds' % (max([len(str(cell)) for cell in cols])) for cols in zip(*cellpadss)]
 return '\n'.join([separator.join(fmts) % tuple(rows) for rows in cellpadss])
def roundm(x, multiple=1):
 if   (isinstance(x, tuple)): return tuple(roundm(list(x), multiple))
 elif (isinstance(x, list )): return [roundm(x_i, multiple) for x_i in x]
 else: return int(math.floor(float(x) / multiple + 0.5)) * multiple

facetss = []
## Find facets
for i_face_side in range(n_face_side + 1):
 rad = math.pi * i_face_side / n_face_side
 (r_sin,r_cos) = roundm([r * function(rad) for function in [math.sin,math.cos]])
 if (i_face_side > 0):
  facetss.append([1000 + i_face_side,  r, 0,0, 0,-r_cos_old,-r_sin_old, 0,-r_cos,-r_sin])
  facetss.append([2000 + i_face_side, -r, 0,0, 0, r_cos_old,-r_sin_old, 0, r_cos,-r_sin])
  facetss.append([3000 + i_face_side,  0, r,0, -r_cos_old,0, r_sin_old, -r_cos,0, r_sin])
  facetss.append([4000 + i_face_side,  0,-r,0,  r_cos_old,0, r_sin_old,  r_cos,0, r_sin])
 (r_sin_old,r_cos_old) = (r_sin,r_cos)
## Calculate normals
for facets in facetss:
 us = [facets[i_xyz + 3] - facets[i_xyz] for i_xyz in range(3)]
 vs = [facets[i_xyz] - facets[i_xyz + 6] for i_xyz in range(3)]
 normals = [us[1]*vs[2] - us[2]*vs[1], us[2]*vs[0] - us[0]*vs[2], us[0]*vs[1] - us[1]*vs[0]]
 normal_length = sum([component * component      for component in normals]) ** 0.5
 facets += ['%.5f' % (component / normal_length) for component in normals]
facetss = sorted(facetss)
print(tabbify([['s.f'] + ['%s%d' % (xyz, n) for n in range(3) for xyz in list('XYZ')] +
               ['N%s' % (xyz) for xyz in list('xyz')]] + facetss))
## Compile STL
outs = [fmt('''\
 facet normal {facets[10]} {facets[11]} {facets[12]}
  outer loop
   vertex {facets[1]} {facets[2]} {facets[3]}
   vertex {facets[4]} {facets[5]} {facets[6]}
   vertex {facets[7]} {facets[8]} {facets[9]}
  endloop
 endfacet''') for facets in facetss]
with io.open(__file__[:__file__.rfind('.')] + '.stl', 'w', newline='\n') as f_out:
 f_out.write('solid %s\n%s\nendsolid %s\n\n## Please keep Python script below\n%s' %
             (solid_name, '\n'.join(outs), solid_name, io.open(__file__).read()))

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons

attribution share alike

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You are free:
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Wikimedia Foundation
The uploader of this file has agreed to the Wikimedia Foundation 3D patent license: This file and any 3D objects depicted in the file are both my own work. I hereby grant to each user, maker, or distributor of the object depicted in the file a worldwide, royalty-free, fully-paid-up, nonexclusive, irrevocable and perpetual license at no additional cost under any patent or patent application I own now or in the future, to make, have made, use, offer to sell, sell, import, and distribute this file and any 3D objects depicted in the file that would otherwise infringe any claims of any patents I hold now or in the future.

Please note that in the event of any differences in meaning or interpretation between the original English version of this license and a translation, the original English version takes precedence.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current01:47, 16 March 2018Thumbnail for version as of 01:47, 16 March 20185,120 × 2,880 (31 KB)Cmglee (talk | contribs)User created page with UploadWizard

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