Acronym | stip |
TOCID symbol | (5/2)P |
Name |
stellated pentagonal prism, 5/2-prism, 5-prism with winding number 2, vertex figure of raggix |
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Circumradius | sqrt[(15-2 sqrt(5))/20] = 0.725530 |
Vertex figure | [42,5/2] |
Volume | sqrt[25-10 sqrt(5)]/4 = 0.406150 |
General of army | x v5o |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 10, 15, 7 |
Confer |
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External links |
As abstract polytope stip is isomorphic to pip, thereby replacing pentagrams by pentagons.
Further it also is abstractly equivalent to starpglass: in fact that one uses a point reflection, while this one uses a reflection plane orthogonal to its axis instead.
Incidence matrix according to Dynkin symbol
x x5/2o . . . | 10 | 1 2 | 2 1 --------+----+------+---- x . . | 2 | 5 * | 2 0 . x . | 2 | * 10 | 1 1 --------+----+------+---- x x . | 4 | 2 2 | 5 * . x5/2o | 5 | 0 5 | * 2
x2β5o both( . . . ) | 10 | 1 2 | 1 2 --------------+----+------+---- both( x . . ) | 2 | 5 * | 0 2 sefa( . β5o ) | 2 | * 10 | 1 1 --------------+----+------+---- . β5o ♦ 5 | 0 5 | 2 * sefa( x2β5o ) | 4 | 2 2 | * 5 starting figure: x x5o
xx5/2oo&#x → height = 1
({5/2} || {5/2})
o.5/2o. | 5 * | 2 1 0 | 1 2 0
.o5/2.o | * 5 | 0 1 2 | 0 2 1
-----------+-----+-------+------
x. .. | 2 0 | 5 * * | 1 1 0
oo5/2oo&#x | 1 1 | * 5 * | 0 2 0
.x .. | 0 2 | * * 5 | 0 1 1
-----------+-----+-------+------
x.5/2o. | 5 0 | 5 0 0 | 1 * *
xx ..&#x | 2 2 | 1 2 1 | * 5 *
.x5/2.o | 0 5 | 0 0 5 | * * 1
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