Acronym | twip |
Name | dodecagonal prism |
© | |
Circumradius | sqrt[9+4 sqrt(3)]/2 = 1.995508 |
Vertex figure | [42,12] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
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Face vector | 24, 36, 14 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x x12o . . . | 24 | 1 2 | 2 1 -------+----+-------+----- x . . | 2 | 12 * | 2 0 . x . | 2 | * 24 | 1 1 -------+----+-------+----- x x . | 4 | 2 2 | 12 * . x12o | 12 | 0 12 | * 2 snubbed forms: x2s12o, s2s12o
x x6x . . . | 24 | 1 1 1 | 1 1 1 ------+----+----------+------ x . . | 2 | 12 * * | 1 1 0 . x . | 2 | * 12 * | 1 0 1 . . x | 2 | * * 12 | 1 1 0 ------+----+----------+------ x x . | 4 | 2 2 0 | 6 * * x . x | 4 | 2 0 2 | * 6 * . x6x | 12 | 0 6 6 | * * 2 snubbed forms: x2s6s, s2s6x (ditra), s2s6s
xx12oo&#x → height = 1
({12} || {12})
o.12o. | 12 * | 2 1 0 | 1 2 0
.o12.o | * 12 | 0 1 2 | 0 2 1
----------+-------+----------+-------
x. .. | 2 0 | 12 * * | 1 1 0
oo12oo&#x | 1 1 | * 12 * | 0 2 0
.x .. | 0 2 | * * 12 | 0 1 1
----------+-------+----------+-------
x.12o. | 12 0 | 12 0 0 | 1 * *
xx ..&#x | 2 2 | 1 2 1 | * 12 *
.x12.o | 0 12 | 0 0 12 | * * 1
xx6xx&#x → height = 1
({12} || {12})
o.6o. | 12 * | 1 1 1 0 0 | 1 1 1 0
.o6.o | * 12 | 0 0 1 1 1 | 0 1 1 1
---------+-------+------------+--------
x. .. | 2 0 | 6 * * * * | 1 1 0 0
.. x. | 2 0 | * 6 * * * | 1 0 1 0
oo6oo&#x | 1 1 | * * 12 * * | 0 1 1 0
.x .. | 0 2 | * * * 6 * | 0 1 0 1
.. .x | 0 2 | * * * * 6 | 0 0 1 1
---------+-------+------------+--------
x.6x. | 12 0 | 6 6 0 0 0 | 1 * * *
xx ..&#x | 2 2 | 1 0 2 1 0 | * 6 * *
.. xx&#x | 2 2 | 0 1 2 0 1 | * * 6 *
.x6.x | 0 12 | 0 0 0 6 6 | * * * 1
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