Acronym scufgi
Name semicupolaically faceted great icosahedron
 
Circumradius sqrt[(5-sqrt(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)
  • between {3} and {5/2}:   arccos[(5-2 sqrt(5))/15] = 79.187683°
  • between {3} and {3}:   arccos(sqrt(5)/3) = 41.810315°
Confer
uniform relative:
gike   sissid  
faceting of:
sissid  
blend-component:
stappy  

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.


Incidence matrix

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

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