Acronym | starp (old: restap) |
TOCID symbol | (5/3)Q |
Name |
tristrophic pentagrammic antiprism, stellar retroprism (retrograde stellar antiprism), 5/3-antiprism |
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Circumradius | sqrt[(5-sqrt(5))/8] = 0.587785 |
Vertex figure | [3^{3},5/3] |
General of army | pap |
Colonel of regiment | (itself, evon so not being locally convex) |
Confer | |
External links |
Like pap can be seen as (parallel) bi-diminished ike, starp can be seen as (parallel) bi-diminished gike. The locally convex cover of the latter is sissid. But as 2 opposit peaks are missing, from the 5 pentagrammal edges of each face only 3 remain in this edge skeleton (except for the 2 bases), especially they do not close, thus this figure has no locally convex cover and will be considered its own colonel.
This polyhedron is an edge-faceting of the small stellated dodecahedron (sissid).
Incidence matrix according to Dynkin symbol
s2s5/3s demi( . . . ) | 10 | 1 1 2 | 1 3 ----------------+----+--------+----- s2s . | 2 | 5 * * | 0 2 s 2 s | 2 | * 5 * | 0 2 sefa( . s5/3s ) | 2 | * * 10 | 1 1 ----------------+----+--------+----- . s5/3s ♦ 5 | 0 0 5 | 2 * sefa( s2s5/3s ) | 3 | 1 1 1 | * 10 starting figure: x x5/3x
xo5/3ox&#x → height = sqrt[(5-sqrt(5))/10] = 0.525731
({5/3} || dual {5/3})
o.5/3o. | 5 * | 2 2 0 | 1 2 1 0
.o5/3.o | * 5 | 0 2 2 | 0 1 2 1
-----------+-----+--------+--------
x. .. | 2 0 | 5 * * | 1 1 0 0
oo5/3oo&#x | 1 1 | * 10 * | 0 1 1 0
.. .x | 0 2 | * * 5 | 0 0 1 1
-----------+-----+--------+--------
x.5/3o. | 5 0 | 5 0 0 | 1 * * *
xo ..&#x | 2 1 | 1 2 0 | * 5 * *
.. ox&#x | 1 2 | 0 2 1 | * * 5 *
.o5/3.x | 0 5 | 0 0 5 | * * * 1
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