Acronym ri
TOCID symbol ri|ED*
Name rhombicosahedron
 
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Circumradius sqrt(7)/2 = 1.322876
Vertex figure [6/5,4/3,6,4]/0
General of army x3f5o
Colonel of regiment raded
Dihedral angles
  • between {4} and {6} (at pseudo {5/2}):   arccos(-sqrt[(3-sqrt(5))/6]) = 110.905157°
  • between {4} and {6} (at pseudo {5}):   arccos(sqrt[(3+sqrt(5))/6]) = 20.905157°
Confer
Grünbaumian relatives:
ri+12{10/2}   ri+12{10/4}  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

Incidence matrix according to Dynkin symbol

reduced( x5/2x3x , by 12{10/2} )
or
reduced( x5/4x3x , by 12{10/4} )

60 |  2  2 |  2  2
---+-------+------
 2 | 60  * |  1  1  at pseudo {5}
 2 |  * 60 |  1  1  at pseudo {5/2}
---+-------+------
 4 |  2  2 | 30  *
 6 |  3  3 |  * 20

or (only as abstract polyhedron)
60 |   4 |  2  2
---+-----+------
 2 | 120 |  1  1
---+-----+------
 4 |   4 | 30  *
 6 |   6 |  * 20

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