# File:Rhombic triacontahedron box.stl

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

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## Summary

 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 2 April 2018 Source Own work Author Cmglee

## Python source

```#!/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 << 10) + (colour_top5bits << 5) + colour_top5bits
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
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]

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 is None or facets is None or facets 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*vs - us*vs, us*vs - us*vs, us*vs - us*vs]
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))] 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)
```

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I, the copyright holder of this work, hereby publish it under the following license:   This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license. You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work 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. 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.

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