Acronym | stop (old: sop) |
TOCID symbol | (8/3)P |
Name |
(tristrophic) octagrammic prism, stellated octagonal prism, 8/3-prism, 8-prism with winding number 3 |
© | |
Circumradius | sqrt[5-2 sqrt(2)]/2 = 0.736813 |
Vertex figure | [42,8/3] |
Coordinates | ((sqrt(2)-1)/2, 1/2, 1/2) & all permutations in all but last coord., all changes of sign |
General of army | w x8o |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 16, 24, 10 |
Confer |
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External links |
This polyhedron is an edge-faceting of the great cubicuboctahedron (gocco).
Incidence matrix according to Dynkin symbol
x x8/3o . . . | 16 | 1 2 | 2 1 --------+----+------+---- x . . | 2 | 8 * | 2 0 . x . | 2 | * 16 | 1 1 --------+----+------+---- x x . | 4 | 2 2 | 8 * . x8/3o | 8 | 0 8 | * 2
x x4/3x . . . | 16 | 1 1 1 | 1 1 1 --------+----+-------+------ x . . | 2 | 8 * * | 1 1 0 . x . | 2 | * 8 * | 1 0 1 . . x | 2 | * * 8 | 0 1 1 --------+----+-------+------ x x . | 4 | 2 2 0 | 4 * * x . x | 4 | 2 0 2 | * 4 * . x4/3x | 8 | 0 4 4 | * * 2
xx8/3oo&#x → height = 1
({8/3} || {8/3})
o.8/3o. | 8 * | 2 1 0 | 1 2 0
.o8/3.o | * 8 | 0 1 2 | 0 2 1
-----------+-----+-------+------
x. .. | 2 0 | 8 * * | 1 1 0
oo8/3oo&#x | 1 1 | * 8 * | 0 2 0
.x .. | 0 2 | * * 8 | 0 1 1
-----------+-----+-------+------
x.8/3o. | 8 0 | 8 0 0 | 1 * *
xx ..&#x | 2 2 | 1 2 1 | * 8 *
.x8/3.o | 0 8 | 0 0 8 | * * 1
xx4/3xx&#x → height = 1
({8/3} || {8/3})
o.4/3o. | 8 * | 1 1 1 0 0 | 1 1 1 0
.o4/3.o | * 8 | 0 0 1 1 1 | 0 1 1 1
-----------+-----+-----------+--------
x. .. | 2 0 | 4 * * * * | 1 1 0 0
.. x. | 2 0 | * 4 * * * | 1 0 1 0
oo4/3oo&#x | 1 1 | * * 8 * * | 0 1 1 0
.x .. | 0 2 | * * * 4 * | 0 1 0 1
.. .x | 0 2 | * * * * 4 | 0 0 1 1
-----------+-----+-----------+--------
x.4/3x. | 8 0 | 4 4 0 0 0 | 1 * * *
xx ..&#x | 2 2 | 1 0 2 1 0 | * 4 * *
.. xx&#x | 2 2 | 0 1 2 0 1 | * * 4 *
.x4/3.x | 0 8 | 0 0 0 4 4 | * * * 1
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