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applied to the square faces. In this construction, all the vertices are assumed to be the same distance from the center, while in general octahedral symmetry can be maintain even with the 6 order-4 vertices at a different distance from the center as the other 12.
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as the normals to alternate yellow-shaded faces in the top image correspond exactly to the tetrahedral
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with edges bisected and faces divided into subtriangles of the tetrakis cuboctahedron
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Chapter 21: Naming the
Archimedean and Catalan polyhedra and Tilings (p284)
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A cat toy in the shape of a tetrakis cuboctahedron projected onto a sphere
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Tetrakis cuboctahedrons usefully represent carbon atoms in a 3D
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looks like a concave tetrakis cuboctahedron with inverted
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This polyhedron can be confused with a slightly smaller
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Its name comes from a topological construction from the
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253:It can also be topologically constructed from the
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361:, Heidi Burgiel, Chaim Goodman-Strauss,
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16:Convex polyhedron (32 triangle faces)
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201:3D model of a tetrakis cuboctahedron
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335:meeting at the polyhedron center.
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231:truncated rhombic dodecahedron
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392:Conway polyhedron notation
347:Pentakis icosidodecahedron
388:VTML polyhedral generator
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363:The Symmetries of Things
229:. It is a dual of the
211:tetrakis cuboctahedron
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22:Tetrakis cuboctahedron
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182:ball-and-stick model
82:Vertex configuration
314:Tetrakis hexahedron
270:tetrakis hexahedron
217:with 32 triangular
40:Geodesic polyhedron
329:octahemioctahedron
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371:978-1-56881-220-5
249:Related polyhedra
215:convex polyhedron
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259:ortho operation
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186:diamond lattice
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128:Dual polyhedron
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96:Conway notation
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359:John H. Conway
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108:Symmetry group
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300:Cuboctahedron
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266:Catalan solid
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390:Try "k4aC" (
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242:kis operator
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76:18 (2 types)
66:48 (2 types)
190:bond angles
353:References
285:Octahedron
255:octahedron
139:Properties
113:Octahedral
408:Polyhedra
240:with the
225:, and 18
56:(2 types)
54:triangles
402:Category
341:See also
227:vertices
207:geometry
72:Vertices
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365:2008,
268:, the
209:, the
143:convex
89:(12) 3
223:edges
221:, 48
219:faces
213:is a
184:of a
87:(6) 3
62:Edges
48:Faces
42:(2,0)
367:ISBN
101:k4aC
36:Type
205:In
150:Net
52:32
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119:h
117:O
115:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
