Acronym sis
Name small snubihedron,
compound of 6 tet (but not snu)
 
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Circumradius sqrt(3/8) = 0.612372
Inradius 1/sqrt(24) = 0.204124
Vertex figure [33]
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(1/3) = 70.528779°
Confer dis   risdoh   snu  
External
links
hedrondude   wikipedia  

This compound has rotational freedom. Starting at φ = 0° with a completely coincident overlay of 6 tetrahedra, rotating 2 tetrahedra each, thought of as 2-fold antiprisms, around their common axis in opposite directions. At φ = 45° the overall tetrahedral symmetry becomes octahedral. This special case (without rotational freedom) is snu.

This is the hemi-version of dis.

This compound can be vertex-inscribed (with full rotational freedom) into risdoh in the same way as each individual tet will be inscribed into each of those cubes.


Incidence matrix

 24 |  1  2 |  3 || 1
----+-------+----++--
  2 | 12  * |  1 || 1
  2 |  * 24 |  2 || 1
----+-------+----++--
  3 |  1  2 | 24 || 1
----+-------+----++--
 4 |  2  4 |  4 || 6

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