File:Jessen icosahedron.stl
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![File:Jessen icosahedron.stl](http://upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Jessen_icosahedron.stl/800px-Jessen_icosahedron.stl.png)
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View Jessen icosahedron.stl on viewstl.com
Summary
DescriptionJessen icosahedron.stl | Jessen's icosahedron, made into a colour STL by CMG Lee. |
Source | Own work |
Author | Cmglee |
Python source
#!/usr/bin/env python
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, colour=None): ## 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 + [facets[12] if colour is None else colour])
return facet_rotatess
def translate(facetss, ds, colour=None): ## 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)] +
[facets[12] if colour is None else colour] for facets in facetss]
def scale(facetss, ss, colour=None): ## ss = (sx,sy,sz)
return [facets[:3] + [facets[3 * i_point + i_xyz] * ss[i_xyz]
for i_point in range(1,4) for i_xyz in range(3)] +
[facets[12] if colour is None else colour] for facets in facetss]
def make_facetss(lotssss):
facetss = []
for facess in lotssss['faces']:
vertexs = facess['vertexs']
vertex_facetss = [[float(xyz) for xyz in lotssss['vertexs'][i_vertex]['xyz']]
for i_vertex in (vertexs[::-1] if (facess['flip']) else vertexs)]
facetss.append(flatten([(None,0,0)] + vertex_facetss + [[facess['colour']]]))
return facetss
def finish(facetss, header):
## 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)
corner_lotssss = {'vertexs': [{'xyz':(0,2,1)},
{'xyz':(2,1,0)},
{'xyz':(1,0,2)}],
'faces': [{'vertexs':[0,1,2], 'flip':True , 'colour':'#fff'}]}
side_lotssss = {'vertexs': [{'xyz':( 0,2,1)},
{'xyz':( 2,1,0)},
{'xyz':(-2,1,0)}],
'faces': [{'vertexs':[0,1,2], 'flip':True , 'colour':'#66f'}]}
corner_facetss = make_facetss(corner_lotssss)
corner_facetss += scale (corner_facetss, (-1,1,1), '#eee')
corner_facetss += scale (corner_facetss, (1,-1,1), '#ccc')
corner_facetss += scale (corner_facetss, (1,1,-1), '#999')
side_facetss = make_facetss(side_lotssss)
side_facetss += scale (side_facetss, (1,1,-1))
side_facetss += rotate (side_facetss, (0,90,90), '#f00') + \
rotate (side_facetss, (90,0,90), '#0c9')
side_facetss += scale (side_facetss, (-1,-1,-1))
finish(corner_facetss + side_facetss, "Jessen's icosahedron, made into a colour STL by CMG Lee.")
Licensing
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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. 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. |
I, the copyright holder of this work, hereby publish it under the following licenses:
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- 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.
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 03:40, 6 February 2022 | ![]() | 5,120 × 2,880 (1 KB) | Cmglee | Swap Y and Z axes to make thumbnail orientation similar to File:Translucent_Jessen_icosahedron.svg |
01:07, 27 January 2022 | ![]() | 5,120 × 2,880 (1 KB) | Cmglee | {{Information |Description=Jessen's icosahedron, made into a colour STL by CMG Lee. |Source={{own}} |Date= |Author= Cmglee |Permission= |other_versions= }} Category:STL files by cmglee Category:Jessen's icosahedron |
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