Acronym siddy
TOCID symbol di|ID*
Name small dodekicosahedron
 
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Circumradius sqrt[(17+3 sqrt(5))/8] = 1.721489
Vertex figure [10/9,6/5,10,6]/0
General of army f3o5x
Colonel of regiment siid
Dihedral angles
  • between {6} and {10} (at pseudo {5/2}):   arccos(sqrt[(5-2 sqrt(5))/15]) = 79.187683°
  • between {6} and {10} (at pseudo {3}):   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368°
Confer
Grünbaumian relatives:
siddy+12{10/4}   siddy+20{6/2}  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope siddy is isomorphic to giddy, thereby replacing decagons by decagrams.


Incidence matrix according to Dynkin symbol

reduced( x3/2x3x5*a , by 20{6/2} )
or
reduced( x5/4x3x5*a , by 12{10/4} )

60 |  2  2 |  2  2
---+-------+------
 2 | 60  * |  1  1  at pseudo {3}
 2 |  * 60 |  1  1  at pseudo {5/2}
---+-------+------
 6 |  3  3 | 20  *
10 |  5  5 |  * 12

or (as abstract polyhedron, but no isotoxal realization exists)
60 |   4 |  2  2
---+-----+------
 2 | 120 |  1  1
---+-----+------
 6 |   6 | 20  *
10 |  10 |  * 12

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