File:First rhombic dodecahedron stellation.stl
![File:First rhombic dodecahedron stellation.stl](http://upload.wikimedia.org/wikipedia/commons/thumb/3/35/First_rhombic_dodecahedron_stellation.stl/800px-First_rhombic_dodecahedron_stellation.stl.png)
此STL文件的PNG预览的大小:800 × 600像素。 其他分辨率:320 × 240像素 | 640 × 480像素 | 1,024 × 768像素 | 1,280 × 960像素 | 2,560 × 1,920像素 | 5,120 × 3,840像素。
原始文件 (5,120 × 2,880像素,文件大小:6 KB,MIME类型:application/sla)
View First rhombic dodecahedron stellation.stl on viewstl.com
摘要
描述First rhombic dodecahedron stellation.stl |
English: Stellated rhombic dodecahedron made of pyramids and half-cubes by CMG Lee. |
日期 | |
来源 | 自己的作品 |
作者 | Cmglee |
Python source
#!/usr/bin/env python
header = 'Stellated rhombic dodecahedron made of pyramids and half-cubes by CMG Lee.'
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]
## Add facets
facet_sidess = [[None,0,0, 0, 0,0, 20,20,-20, -20, 20,-20]]
facet_basess = [[None,0,0, -20,20,0, 20,20, 0, 20,-20, 0]]
facet_basess += rotate(facet_basess, (0,0,180))
facet_1_pyramidss = translate(facet_sidess, (0,0,-1))
facet_1_pyramidss += rotate(facet_1_pyramidss, (0,0,-90))
facet_1_pyramidss += rotate(facet_1_pyramidss, (0,0,180))
facet_1_pyramidss += translate(facet_basess, (0,0,-21))
facet_3_pyramidss = facet_1_pyramidss.copy()
facet_3_pyramidss += rotate(facet_1_pyramidss, (-90,0,0))
facet_3_pyramidss += rotate(facet_1_pyramidss, (0,90,0))
facet_sixth_cubess = facet_sidess.copy()
facet_sixth_cubess += rotate(facet_sixth_cubess, (0,0,-90))
facet_sixth_cubess += translate(facet_basess, (0,0,-20))
facet_half_cubess = facet_sixth_cubess.copy()
facet_half_cubess += rotate(facet_sixth_cubess, (-90,-90, 0))
facet_half_cubess += rotate(facet_sixth_cubess, ( 90, 0,90))
facetss = (rotate(translate(facet_3_pyramidss, (22,22,22)), (0,0,180)) +
translate(facet_half_cubess, (22,22,22)) )
facetss += rotate(facetss, (-90,0,0))
facetss += rotate(facetss, (180,0,0))
# facetss = [facets[:3] + facets[6:9] + facets[3:6] + facets[9:] for facets in facetss] ## flip
## 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)
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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. |
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1 4 2018
application/sla
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日期/时间 | 缩略图 | 大小 | 用户 | 备注 | |
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当前 | 2018年4月1日 (日) 22:18 | ![]() | 5,120 × 2,880(6 KB) | Cmglee | User created page with UploadWizard |
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