| Acronym | sided |
| TOCID symbol | sIDE* |
| Name |
snub icosidodecadodecahedron, dagon |
| VRML |
|
| Circumradius |
sqrt[(2ρ-1)/(ρ-1)]/2 = 1.126898
where ρ = (cbrt[9-sqrt(69)]+cbrt[9+sqrt(69)])/cbrt(18) = 1.324718 is the plastic number, the only real solution of x3-x-1=0 |
| Vertex figure | [5/3,33,5,3] |
| Colonel of regiment | (is itself not locally convex, but no other uniform polyhedral members) |
| Face vector | 60, 180, 104 |
| Confer | |
|
External links |
|
As abstract polytope sided is isomorphic to gisdid, thereby replacing (prograde) pentagons by prograde pentagrams, while retrrograde pentagrams keep unchanged.
Incidence matrix according to Dynkin symbol
s
5 / \ 5/3
s---s
3
s5/3s3s5*a
demi( . . . ) | 60 | 2 2 2 | 1 1 1 3
-------------------+----+----------+------------
sefa( s5/3s . ) | 2 | 60 * * | 1 0 0 1
sefa( s . s5*a ) | 2 | * 60 * | 0 1 0 1
sefa( . s3s ) | 2 | * * 60 | 0 0 1 1
-------------------+----+----------+------------
s5/3s . ♦ 5 | 5 0 0 | 12 * * *
s . s5*a ♦ 5 | 0 5 0 | * 12 * *
. s3s ♦ 3 | 0 0 3 | * * 20 *
sefa( s5/3s3s5*a ) | 3 | 1 1 1 | * * * 60
starting figure: x5/3x3x5*a
© 2004-2025 | top of page |