File:Rhombic triacontahedron box.stl
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Size of this PNG preview of this STL file: 800 × 600 pixels. Other resolutions: 320 × 240 pixels  640 × 480 pixels  1,024 × 768 pixels  1,280 × 960 pixels  5,120 × 3,840 pixels.
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]
DescriptionRhombic triacontahedron box.stl 
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('utf8'), 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('utf8')
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:

This file is licensed under the Creative Commons AttributionShare Alike 4.0 International license.  
https://creativecommons.org/licenses/bysa/4.0 CC BYSA 4.0 Creative Commons AttributionShare Alike 4.0 truetrue 
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, royaltyfree, fullypaidup, 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
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Date/Time  Thumbnail  Dimensions  User  Comment  

current  18:34, 4 April 2018  5,120 × 2,880 (14 KB)  Cmglee (talk  contribs)  Add pegs to hold 3Dprinted model together.  
16:08, 2 April 2018  5,120 × 2,880 (5 KB)  Cmglee (talk  contribs)  User created page with UploadWizard 
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