File:First rhombic dodecahedron stellation.stl
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外观
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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描繪內容
1 4 2018
application/sla
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