Acronym  scufgi 
Name  semicupolaically faceted great icosahedron 
 
Circumradius  sqrt[(5sqrt(5))/8] = 0.587785 
Vertex figures  [5/2,3,5/2,3/2,3/2], [5/2,3,5/3,3/2]/0, [5/2,3,3] 
Dihedral angles
(at margins) 

Confer 
As abstract polytope scufgi is isomorphic to scuffi, thereby replacing pentagrams by pentagons.
This polyhedron either can be considered as a faceting of sissid or else could be constructed as a blend from 3 copies of stappy, when taken all coincident with one single triangle, but mutually in rotated fashion.
3 * *  2 2 1 0  1 2 2 [5/2,3,5/2,3/2,3/2] * 3 *  0 2 0 2  0 2 2 [5/2,3,5/3,3/2]/0 * * 3  0 0 1 2  0 1 2 [5/2,3,3] ++ 2 0 0  3 * * *  1 1 0 1 1 0  * 6 * *  0 1 1 1 0 1  * * 3 *  0 0 2 0 1 1  * * * 6  0 1 1 ++ 3 0 0  3 0 0 0  1 * * 2 2 1  1 2 0 2  * 3 * {5/2} 1 1 1  0 1 1 1  * * 6
© 20042021  top of page 