Acronym scuffi
Name semicupolaically faceted icosahedron
 
Circumradius sqrt[(5+sqrt(5))/8] = 0.951057
Vertex figures [3,3,5,3/2,5], [3,5,3/2,5/4]/0, [3,3,5]
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(-sqrt(5)/3) = 138.189685°
  • between {3} and {5}:   arccos[(5+2 sqrt(5))/15] = 37.377368°
Confer
uniform relative:
gad   ike  
faceting of:
ike  
blend-component:
peppy  

As abstract polytope scuffi is isomorphic to scufgi, thereby replacing pentagons by pentagrams.

This polyhedron either can be considered as a faceting of ike or else could be constructed as a blend from 3 copies of peppy, when taken all coincident with one single triangle, but mutually in rotated fashion.


Incidence matrix

3 * * | 2 2 1 0 | 1 2 2	[3,3,5,3/2,5]
* 3 * | 0 2 0 2 | 0 2 2	[3,5,3/2,5/4]/0
* * 3 | 0 0 1 2 | 0 1 2	[3,3,5]
------+---------+------
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}
1 1 1 | 0 1 1 1 | * * 6

© 2004-2019
top of page