Acronym | rapescu | ||
Name |
retrograde pentagonal cuploid, retrograde pentagonal semicupola | ||
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Circumradius | sqrt(3)/2 = 0.866025 | ||
Vertex figures | [3,4,5/4,4], [3,4,3/2,4/3]/0 | ||
Confer |
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External links |
Rapescu is an edge-faceting of sidtid, in fact it uses triangles of it and squares of rhom, the inscribed compound of 5 cube, as well as the pentagon of the inscribed ditdid or gidtid.
As a cuploid it has a pseudo bottom face. That one is the withdrawn {10/4} of the corresponding cupola.
As abstract polytope rapescu is isomorphic to stiscu, thereby replacing the retrograde pentagon by a (prograde) pentagram, while pseudo pentagram would become a pseudo pentagon.
Incidence matrix according to Dynkin symbol
reduced(xx5/4ox&#x by x5/4x) → height = sqrt((5-sqrt(5))/10) = 0.525731
({5/4} || pseudo {10/4})
o.5/4o. | 5 * | 2 2 0 | 1 2 1
.o5/4.o | * 5 | 0 2 2 | 0 2 2
--------------------+-----+--------+------
x. .. | 2 0 | 5 * * | 1 1 0
oo5/4oo&#x | 1 1 | * 10 * | 0 1 1
.x .. & .. .x | 0 2 | * * 5 | 0 1 1 (those edges get identified)
--------------------+-----+--------+------
x.5/4o. | 5 0 | 5 0 0 | 1 * *
xx ..&#x | 2 2 | 1 2 1 | * 5 *
.. ox&#x | 1 2 | 0 2 1 | * * 5
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