Acronym	siddy
TOCID symbol	di|ID*
Name	small dodekicosahedron
	© ©
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°
Face vector	60, 120, 32
Confer	Grünbaumian relatives: siddy+12{10/4}   siddy+20{6/2}
External links

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

This polyhedron is an edge-faceting of the small icosicosidodecahedron (siid).

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