Acronym | rastacu |
Name |
retrograde pentagrammic cupola, 5/3-cupola |
Circumradius | sqrt[-sqrt(5)+11/4] = 0.716891 |
Vertex figures | [3,4,5/3,4], [3,4,10/3] |
Dihedral angles |
|
Face vector | 15, 25, 12 |
Confer |
|
As abstract polytope rastacu is isomorphic to pecu, thereby replacing the retrograde pentagram by a (prograde) pentagon and the decagram by a decagon. Or it is isomorphic to stacu, thereby replacing the retrograde pentagram by a prograde pentagram and the decagram by a Grünbaumian {10/2}.
This polyhedron is an edge-faceting of the great dodekicosidodecahedron (gaddid).
Incidence matrix according to Dynkin symbol
xx5/3ox&#x → height = sqrt((5+sqrt(5))/10) = 0.850651
({5/2} || {10/3})
o.5/3o. | 5 * | 2 2 0 0 | 1 2 1 0
.o5/3.o | * 10 | 0 1 1 1 | 0 1 1 1
-----------+------+----------+--------
x. .. | 2 0 | 5 * * * | 1 1 0 0
oo5/3oo&#x | 1 1 | * 10 * * | 0 1 1 0
.x .. | 0 2 | * * 5 * | 0 1 0 1
.. .x | 0 2 | * * * 5 | 0 0 1 1
-----------+------+----------+--------
x.5/3o. | 5 0 | 5 0 0 0 | 1 * * *
xx ..&#x | 2 2 | 1 2 1 0 | * 5 * *
.. ox&#x | 1 2 | 0 2 0 1 | * * 5 *
.x5/3.x | 0 10 | 0 0 5 5 | * * * 1
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