Acronym tar (old: harie)
Name truncated rhombihedron,
hyperhombicosicosahedron,
compound of 5 tic
 
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Circumradius sqrt[7+4 sqrt(2)]/2 = 1.778824
Vertex figure [3,82]
Dihedral angles
(at margins)
  • between {3} and {8}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {8} and {8}:   90°
External
links
hedrondude   wikipedia  

Triangles pairwise fall into coincident face planes. So either they can be considered separately (type A); or they are considered as (rotated) 2-triangle-compounds (type B).


Incidence matrix

(Type A)

 120 |   2  1 |  1  2 || 1
-----+--------+-------++--
   2 | 120  * |  1  1 || 1
   2 |   * 60 |  0  2 || 1
-----+--------+-------++--
   3 |   3  0 | 40  * || 1
   8 |   4  4 |  * 30 || 1
-----+--------+-------++--
 24 |  24 12 |  8  6 || 5

(Type B)

 120 |   2  1 |  1  2 || 1
-----+--------+-------++--
   2 | 120  * |  1  1 || 1
   2 |   * 60 |  0  2 || 1
-----+--------+-------++--
   6 |   6  0 | 20  * || 2
   8 |   4  4 |  * 30 || 1
-----+--------+-------++--
 24 |  24 12 |  8  6 || 5

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