Acronym sird
TOCID symbol rd|ID
Name small rhombidodecahedron
 
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Circumradius sqrt[sqrt(5)+11/4] = 2.232951
Vertex figure [10/9,4/3,10,4]/0
General of army srid
Colonel of regiment srid
Dihedral angles
  • between {4} and {10} (at pseudo {3}):   arccos(-sqrt[(5-sqrt(5))/10]) = 121.717474°
  • between {4} and {10} (at pseudo {5}):   arccos(sqrt[(5+sqrt(5))/10]) = 31.717474°
Confer
Grünbaumian relatives:
sird+12{10/2}   sird+20{6/2}  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope sird is isomorphic to gird, thereby replacing decagons by decagrams.


Incidence matrix according to Dynkin symbol

reduced( x5/2x5x , by 12{10/2} )
or
reduced( x3/2x5x , by 20{6/2} )

60 |  2  2 |  2  2
---+-------+------
 2 | 60  * |  1  1  at pseudo {3}
 2 |  * 60 |  1  1  at pseudo {5}
---+-------+------
 4 |  2  2 | 30  *
10 |  5  5 |  * 12

or (only as abstract polyhedron)
60 |   4 |  2  2
---+-----+------
 2 | 120 |  1  1
---+-----+------
 4 |   4 | 30  *
10 |  10 |  * 12

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