Acronym  tikko 
Name 
triakis octahedron, apiculated octahedron 
©  
Inradius  sqrt[(23+16 sqrt(2))/68] = 0.819141 
Vertex figure  [t^{8}], [T^{3}] 
Coordinates  
Dihedral angles 

Dual  tic 
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 [t^{8}] .o3.o4.o  * 8  0 3  3 [T^{3}] +++ 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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