File:Rhombic triacontahedron box.stl

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Original file(5,120 × 2,880 pixels, file size: 14 KB, MIME type: application/sla)

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View Rhombic triacontahedron box.stl  on viewstl.com

Summary[edit]

Description
English: A rhombic triacontahedron made of 6 panels around a cubic hole by CMG Lee. Zoom into the model to see the cubic hole.
Date
Source Own work
Author Cmglee

Python source[edit]

#!/usr/bin/env python

header = 'A rhombic triacontahedron made of 6 panels around a cubic hole by CMG Lee.'
a      = 233 ## half rhombus minor diagonal
b      = 377 ## half rhombus major diagonal
c      =  55 ## half peg base width
d      =  30 ## displacement of panels

import re, struct, 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 hex_rgb(colour): ## convert [#]RGB to #RRGGBB and [#]RRGGBB to #RRGGBB
 return '#%s' % (colour if len(colour) > 4 else ''.join([c * 2 for c in colour])).lstrip('#')
def viscam_colour(colour):
 colour_hex      = hex_rgb(colour)
 colour_top5bits = [int(colour_hex[i:i+2], 16) >> 3 for i in range(1,7,2)]
 return (1 << 15) + (colour_top5bits[0] << 10) + (colour_top5bits[1] << 5) + colour_top5bits[2]
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
def flatten(lss): return [l for ls in lss for l in ls]
def rotate(facetss, degs): ## around x then y then z axes
 (deg_x,deg_y,deg_z) = degs
 (sin_x,cos_x) = (math.sin(math.radians(deg_x)), math.cos(math.radians(deg_x)))
 (sin_y,cos_y) = (math.sin(math.radians(deg_y)), math.cos(math.radians(deg_y)))
 (sin_z,cos_z) = (math.sin(math.radians(deg_z)), math.cos(math.radians(deg_z)))
 facet_rotatess = []
 for facets in facetss:
  facet_rotates = []
  for i_point in range(4):
   (x, y, z) = [facets[3 * i_point + i_xyz] for i_xyz in range(3)]
   if (x is None or y is None or z is None):
    facet_rotates += [x, y, z]
   else:
    (y, z) = (y * cos_x - z * sin_x,  y * sin_x + z * cos_x) ## rotate about x
    (x, z) = (x * cos_y + z * sin_y, -x * sin_y + z * cos_y) ## rotate about y
    (x, y) = (x * cos_z - y * sin_z,  x * sin_z + y * cos_z) ## rotate about z
    facet_rotates += [round(value, 9) for value in [x, y, z]]
  facet_rotatess.append(facet_rotates)
 return facet_rotatess
def translate(facetss, ds): ## ds = (dx,dy,dz)
 return [facets[:3] + [facets[3 * i_point + i_xyz] + ds[i_xyz]
                       for i_point in range(1,4) for i_xyz in range(3)]
         for facets in facetss]
def flip(facetss):
 return [facets[:3] + facets[6:9] + facets[3:6] + facets[9:] for facets in facetss]


## Add facets
facet_pegss   = [[None,0,0, b+c*2, 0,-b,    b+c,-c,0,    b+c, c,0], ## peg
                 [None,0,0, b+c*2, 0,-b,    b+c, c,0,  b+c*3, 0,0], ## peg
                 [None,0,0, b+c*2, 0,-b,  b+c*3, 0,0,    b+c,-c,0], ## peg
                 [None,0,0,     b, b, 0,    a+b, 0,0,  b+c*3, 0,0], ## bottom
                 [None,0,0,     b, b, 0,  b+c*3, 0,0,    b+c, c,0], ## bottom
                 [None,0,0,     b, b, 0,    b+c, c,0,    b+c,-c,0], ## bottom
                 [None,0,0,     b,-b, 0,  b+c*3, 0,0,    a+b, 0,0], ## bottom
                 [None,0,0,     b,-b, 0,    b+c,-c,0,  b+c*3, 0,0], ## bottom
                 [None,0,0,     b,-b, 0,      b, b,0,    b+c,-c,0]] ## bottom
facet_panelss = translate([[None,0,0, a+b, 0,0,    b, b,0,    0, b,a], ## slant N
                           [None,0,0,   0, b,a,    a, 0,a,  a+b, 0,0], ## slant N
                           [None,0,0, a+b, 0,0,    a, 0,a,    0,-b,a], ## slant S
                           [None,0,0,   0,-b,a,    b,-b,0,  a+b, 0,0], ## slant S
                           # [None,0,0,   a, 0,a,    0, b,a,   -a, 0,a], ## top round
                           [None,0,0,   0,-b,a,    a, 0,a,    0, b,a], ## top thin
                           # [None,0,0,  -b, b,0,    0, b,a,    b, b,0], ## side without hole
                           # [None,0,0,   b, b,0,  a+b, 0,0,    b,-b,0], ## bottom end without peg
                           [None,0,0,  -b, b,0,    b, b,0,    b,-b,0]] + ## bottom mid
                          facet_pegss + translate(rotate(flip(facet_pegss),(0,-90,-90)),(0,b,-b)),
                          (0,0,b + d))
facet_panelss += rotate(facet_panelss, (  0,0,180))
facet_panelss += rotate(facet_panelss, (180,0,180))
facetss = facet_panelss[:] + rotate(facet_panelss, (90,90,0)) + rotate(facet_panelss, (90,0,90))

## Calculate normals
for facets in facetss:
 if (facets[0] is None or facets[1] is None or facets[2] is None):
  us      = [facets[i_xyz + 9] - facets[i_xyz + 6] for i_xyz in range(3)]
  vs      = [facets[i_xyz + 6] - facets[i_xyz + 3] 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[:3] = [-round(component / normal_length, 10) for component in normals]

print(tabbify([['N%s'  % (xyz   )                   for xyz in list('xyz')] +
               ['%s%d' % (xyz, n) for n in range(3) for xyz in list('XYZ')] + ['RGB']] + facetss))
## Compile STL
outss = ([[('STL\n\n%-73s\n\n' % (header[:73])).encode('utf-8'), struct.pack('<L',len(facetss))]] +
         [[struct.pack('<f',float(value)) for value in facets[:12]] +
          [struct.pack('<H',0 if (len(facets) <= 12) else
                            viscam_colour(facets[12]))] for facets in facetss])
out   = b''.join([bytes(out) for outs in outss for out in outs])
# out += ('\n\n## Python script to generate STL\n\n%s\n' % (open(__file__).read())).encode('utf-8')
print("# bytes:%d\t# facets:%d\ttitle:\"%-73s\"" % (len(out), len(facetss), header[:73]))
with open(__file__[:__file__.rfind('.')] + '.stl', 'wb') as f_out: f_out.write(out)

Licensing[edit]

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

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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.

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File history

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

Date/TimeThumbnailDimensionsUserComment
current18:34, 4 April 2018Thumbnail for version as of 18:34, 4 April 20185,120 × 2,880 (14 KB)Cmglee (talk | contribs)Add pegs to hold 3D-printed model together.
16:08, 2 April 2018Thumbnail for version as of 16:08, 2 April 20185,120 × 2,880 (5 KB)Cmglee (talk | contribs)User created page with UploadWizard

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