| Acronym | pecu, J5 |
| Name | pentagonal cupola |
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| Circumradius | sqrt[sqrt(5)+11/4] = 2.232951 |
| Vertex figures | [3,4,5,4], [3,4,10] |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Confer | |
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External links |
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Incidence matrix according to Dynkin symbol
xx5ox&#x → height = sqrt((5-sqrt(5))/10) = 0.525731
({5} || {10})
o.5o. | 5 * | 2 2 0 0 | 1 2 1 0
.o5.o | * 10 | 0 1 1 1 | 0 1 1 1
---------+------+----------+--------
x. .. | 2 0 | 5 * * * | 1 1 0 0
oo5oo&#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.5o. | 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.x | 0 10 | 0 0 5 5 | * * * 1
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