Acronym | hexasidpith |
Name | (degenerate) hex atop sidpith |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 72, 280 ,432, 304, 82 |
Confer |
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It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
xx3oo3oo4ox&#x → height = 0
(hex || sidpith)
o.3o.3o.4o. | 8 * | 6 8 0 0 | 12 24 12 0 0 0 | 8 24 24 6 0 0 0 0 | 1 8 12 6 1 0
.o3.o3.o4.o | * 64 | 0 1 3 3 | 0 3 3 3 6 3 | 0 3 6 3 1 3 3 1 | 0 1 3 3 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x. .. .. .. | 2 0 | 24 * * * | 4 4 0 0 0 0 | 4 8 4 0 0 0 0 0 | 1 4 4 1 0 0
oo3oo3oo4oo&#x | 1 1 | * 64 * * | 0 3 3 0 0 0 | 0 3 6 3 0 0 0 0 | 0 1 3 3 1 0
.x .. .. .. | 0 2 | * * 96 * | 0 1 0 2 2 0 | 0 2 2 0 1 2 1 0 | 0 1 2 1 0 1
.. .. .. .x | 0 2 | * * * 96 | 0 0 1 0 2 2 | 0 0 2 2 0 1 2 1 | 0 0 1 2 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x.3o. .. .. | 3 0 | 3 0 0 0 | 32 * * * * * | 2 2 0 0 0 0 0 0 | 1 2 1 0 0 0
xx .. .. ..&#x | 2 2 | 1 2 1 0 | * 96 * * * * | 0 2 2 0 0 0 0 0 | 0 1 2 1 0 0
.. .. .. ox&#x | 1 2 | 0 2 0 1 | * * 96 * * * | 0 0 2 2 0 0 0 0 | 0 0 1 2 1 0
.x3.o .. .. | 0 3 | 0 0 3 0 | * * * 64 * * | 0 1 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 2 2 | * * * * 96 * | 0 0 1 0 0 1 1 0 | 0 0 1 1 0 1
.. .. .o4.x | 0 4 | 0 0 0 4 | * * * * * 48 | 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x.3o.3o. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 16 * * * * * * * | 1 1 0 0 0 0
xx3oo .. ..&#x ♦ 3 3 | 3 3 3 0 | 1 3 0 1 0 0 | * 64 * * * * * * | 0 1 1 0 0 0
xx .. .. ox&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * * 96 * * * * * | 0 0 1 1 0 0
.. .. oo4ox&#x ♦ 1 4 | 0 4 0 4 | 0 0 4 0 0 1 | * * * 48 * * * * | 0 0 0 1 1 0
.x3.o3.o .. ♦ 0 4 | 0 0 6 0 | 0 0 0 4 0 0 | * * * * 16 * * * | 0 1 0 0 0 1
.x3.o .. .x ♦ 0 6 | 0 0 6 3 | 0 0 0 2 3 0 | * * * * * 32 * * | 0 0 1 0 0 1
.x .. .o4.x ♦ 0 8 | 0 0 4 8 | 0 0 0 0 4 2 | * * * * * * 24 * | 0 0 0 1 0 1
.. .o3.o4.x ♦ 0 8 | 0 0 0 12 | 0 0 0 0 0 6 | * * * * * * * 8 | 0 0 0 0 1 1
---------------+------+-------------+-------------------+------------------------+---------------
x.3o.3o.4o. ♦ 8 0 | 24 0 0 0 | 32 0 0 0 0 0 | 16 0 0 0 0 0 0 0 | 1 * * * * *
xx3oo3oo ..&#x ♦ 4 4 | 6 4 6 0 | 4 6 0 4 0 0 | 1 4 0 0 1 0 0 0 | * 16 * * * *
xx3oo .. ox&#x ♦ 3 6 | 3 6 6 3 | 1 6 3 2 3 0 | 0 2 3 0 0 1 0 0 | * * 32 * * *
xx .. oo4ox&#x ♦ 2 8 | 1 8 4 8 | 0 4 8 0 4 2 | 0 0 4 2 0 0 1 0 | * * * 24 * *
.. oo3oo4ox&#x ♦ 1 8 | 0 8 0 12 | 0 0 12 0 0 6 | 0 0 0 6 0 0 0 1 | * * * * 8 *
.x3.o3.o4.x ♦ 0 64 | 0 0 96 96 | 0 0 0 64 96 48 | 0 0 0 0 16 32 24 8 | * * * * * 1
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