Acronym rhom
Name rhombihedron,
compound of 5 cube
Coxeter symbol 2{5,3}[5{4,3}]
 
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Circumradius sqrt(3)/2 = 0.866025
Inradius 1/2
Vertex figure 2[43]
General of army doe
Colonel of regiment sidtid
Dihedral angles
(at margins)
  • between {4} and {4}:   90°
Confer
Grünbaumian relatives:
sicdatrid   gicdatrid   cadditradid  
general polytopal classes:
regular  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

Rhom is an edge-faceting of sidtid. Thus its convex hull is a (scaled) doe. And its common intersection is a (scaled) ike. It occurs as 2 different forms, either with pairwise coincident vertices counted separately (type A), or with those being identified (type B).


Incidence matrix

(Type A)

 40 |  3 |  3 || 1
----+----+----++--
  2 | 60 |  2 || 1
----+----+----++--
  4 |  4 | 30 || 1
----+----+----++--
 8 | 12 |  6 || 5

(Type B)

 20 |  6 |  6 || 2
----+----+----++--
  2 | 60 |  2 || 1
----+----+----++--
  4 |  4 | 30 || 1
----+----+----++--
 8 | 12 |  6 || 5

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