Acronym | stacu |
Name |
pentagrammic cupola, star cupola |
Circumradius | sqrt(3)/2 = 0.866025 |
Vertex figures | [3,4,5/2,4], [3,4,10/2] |
Face vector | 15, 25, 12 |
Confer |
|
As abstract polytope stacu is isomorphic to pecu, thereby replacing the pentagram by a pentagon and the Grünbaumian {10/2} by a normal convex decagon. Or it is isomorphic to rastacu, thereby replacing the (prograde) pentagram by a retrograde pentagram and the Grünbaumian {10/2} by a decagram.
Incidence matrix according to Dynkin symbol
xx5/2ox&#x → height = sqrt((5+sqrt(5))/10) = 0.850651
({5/2} || {10/2})
o.5/2o. | 5 * | 2 2 0 0 | 1 2 1 0
.o5/2.o | * 10 | 0 1 1 1 | 0 1 1 1
-----------+------+----------+--------
x. .. | 2 0 | 5 * * * | 1 1 0 0
oo5/2oo&#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.5/2o. | 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 *
.x5/2.x | 0 10 | 0 0 5 5 | * * * 1
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