Acronym | tikko |
Name |
triakis octahedron, apiculated octahedron |
© | |
Inradius | sqrt[(23+16 sqrt(2))/68] = 0.819141 |
Vertex figure | [t8], [T3] |
Coordinates | |
Dihedral angles |
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Dual | tic |
Face vector | 14, 36, 24 |
Confer |
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External links |
The triangles {(t,t,T)} have vertex angles t = arccos[(2+sqrt(2))/4] = 31.399715° resp. T = arccos[-(2 sqrt(2)-1)/4] = 117.200570°.
Edge sizes used here are tT = x = 1 (short) resp. tt = a = (2+sqrt(2))/2 = 1.707107 (long).
This polyhedron also can be obtained as the hull of a central cube with 6 attached squippies.
Incidence matrix according to Dynkin symbol
o3m4m = ao3oo4ox&#zx → height = 0 a = (2+sqrt(2))/2 = 1.707107 o.3o.4o. | 6 * | 4 4 | 8 [t8] .o3.o4.o | * 8 | 0 3 | 3 [T3] ------------+-----+-------+--- a. .. .. | 2 0 | 12 * | 2 a oo3oo4oo&#x | 1 1 | * 24 | 2 x ------------+-----+-------+--- ao .. ..&#x | 2 1 | 1 2 | 24 {(t,t,T)}
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