thiddip cupoliprism
- uniform relative:
- hix
- related segmentotera:
- pexhix n/d,2n/d-dipcup
- general polytopal classes:
- partial Stott expansions scaliform segmentotera lace simplices
links
| Acronym | pabex hix (alt.: thiddipcup) |
| Name |
partially bi-expanded hexateron, thiddip cupoliprism |
| Circumradius | sqrt(17/12) = 1.190238 |
| Face vector | 36, 108, 126, 66, 14 |
| Confer |
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External links |
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This scaliform polyteron can be obtained from hix by two consecutive partial Stott expansions within axial duoprismatic subsymmetry only. – The corresponding mono-expansion in the same sequence is pexhix.
The 4D shadow of this polyteron, i.e. its lacing edge size variation down such that it results in zero height and then considering its 4D hull only, would be known as triddep.
Incidence matrix according to Dynkin symbol
xx3xo xx3ox&#x → height = 1/sqrt(3) = 0.577350
(thiddip || antipara thiddip)
o.3o. o.3o. | 18 * | 1 1 2 2 0 0 0 | 1 2 2 1 2 2 2 1 0 0 0 0 | 2 1 1 2 2 1 2 1 1 0 0 0 | 1 2 1 1 1 0
.o3.o .o3.o | * 18 | 0 0 0 2 2 1 1 | 0 0 0 0 2 1 2 2 1 2 2 1 | 0 0 0 1 2 2 1 1 2 1 1 2 | 0 1 1 2 1 1
---------------+-------+------------------+-----------------------------+-------------------------+------------
x. .. .. .. | 2 0 | 9 * * * * * * | 1 2 0 0 2 0 0 0 0 0 0 0 | 2 1 0 2 2 1 0 0 0 0 0 0 | 1 2 1 1 0 0
.. x. .. .. | 2 0 | * 9 * * * * * | 1 0 2 0 0 2 0 0 0 0 0 0 | 2 0 1 2 0 0 2 1 0 0 0 0 | 1 2 1 0 1 0
.. .. x. .. | 2 0 | * * 18 * * * * | 0 1 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 1 0 1 0 1 0 0 0 | 1 1 0 1 1 0
oo3oo oo3oo&#x | 1 1 | * * * 36 * * * | 0 0 0 0 1 1 1 1 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 | 0 1 1 1 1 0
.x .. .. .. | 0 2 | * * * * 18 * * | 0 0 0 0 1 0 0 0 1 1 1 0 | 0 0 0 1 1 1 0 0 0 1 1 1 | 0 1 1 1 0 1
.. .. .x .. | 0 2 | * * * * * 9 * | 0 0 0 0 0 0 2 0 0 2 0 1 | 0 0 0 0 2 0 1 0 2 1 0 2 | 0 1 0 2 1 1
.. .. .. .x | 0 2 | * * * * * * 9 | 0 0 0 0 0 0 0 2 0 0 2 1 | 0 0 0 0 0 2 0 1 2 0 1 2 | 0 0 1 2 1 1
---------------+-------+------------------+-----------------------------+-------------------------+------------
x.3x. .. .. | 6 0 | 3 3 0 0 0 0 0 | 3 * * * * * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
x. .. x. .. | 4 0 | 2 0 2 0 0 0 0 | * 9 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0
.. x. x. .. | 4 0 | 0 2 2 0 0 0 0 | * * 9 * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0
.. .. x.3o. | 3 0 | 0 0 3 0 0 0 0 | * * * 6 * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * 18 * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xo .. ..&#x | 2 1 | 0 1 0 2 0 0 0 | * * * * * 18 * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 0 1 2 0 1 0 | * * * * * * 18 * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 | 0 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 0 0 2 0 0 1 | * * * * * * * 18 * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 0 0 3 0 0 | * * * * * * * * 6 * * * | 0 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * * * 9 * * | 0 0 0 0 1 0 0 0 0 1 0 1 | 0 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * * 9 * | 0 0 0 0 0 1 0 0 0 0 1 1 | 0 0 1 1 0 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 2 0 0 2 | 0 0 0 2 1 1
---------------+-------+------------------+-----------------------------+-------------------------+------------
x.3x. x. .. ♦ 12 0 | 6 6 6 0 0 0 0 | 2 3 3 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * | 1 1 0 0 0 0
x. .. x.3o. ♦ 6 0 | 3 0 6 0 0 0 0 | 0 3 0 2 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * | 1 0 0 1 0 0
.. x. x.3o. ♦ 6 0 | 0 3 6 0 0 0 0 | 0 0 3 2 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * | 1 0 0 0 1 0
xx3xo .. ..&#x ♦ 6 3 | 3 3 0 6 3 0 0 | 1 0 0 0 3 3 0 0 1 0 0 0 | * * * 6 * * * * * * * * | 0 1 1 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 0 2 4 2 2 0 | 0 1 0 0 2 0 2 0 0 1 0 0 | * * * * 9 * * * * * * * | 0 1 0 1 0 0
xx .. .. ox&#x ♦ 2 4 | 1 0 0 4 2 0 2 | 0 0 0 0 2 0 0 2 0 0 1 0 | * * * * * 9 * * * * * * | 0 0 1 1 0 0
.. xo xx ..&#x ♦ 4 2 | 0 2 2 4 0 1 0 | 0 0 1 0 0 2 2 0 0 0 0 0 | * * * * * * 9 * * * * * | 0 1 0 0 1 0
.. xo .. ox&#x ♦ 2 2 | 0 1 0 4 0 0 1 | 0 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * 9 * * * * | 0 0 1 0 1 0
.. .. xx3ox&#x ♦ 3 6 | 0 0 3 6 0 3 3 | 0 0 0 1 0 0 3 3 0 0 0 1 | * * * * * * * * 6 * * * | 0 0 0 1 1 0
.x3.o .x .. ♦ 0 6 | 0 0 0 0 6 3 0 | 0 0 0 0 0 0 0 0 2 3 0 0 | * * * * * * * * * 3 * * | 0 1 0 0 0 1
.x3.o .. .x ♦ 0 6 | 0 0 0 0 6 0 3 | 0 0 0 0 0 0 0 0 2 0 3 0 | * * * * * * * * * * 3 * | 0 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * * * 3 | 0 0 0 1 0 1
---------------+-------+------------------+-----------------------------+-------------------------+------------
x.3x. x.3o. ♦ 18 0 | 9 9 18 0 0 0 0 | 3 9 9 6 0 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3xo xx ..&#x ♦ 12 6 | 6 6 6 12 6 3 0 | 2 3 3 0 6 6 6 0 2 3 0 0 | 1 0 0 2 3 0 3 0 0 1 0 0 | * 3 * * * *
xx3xo .. ox&#x ♦ 6 6 | 3 3 0 12 6 0 3 | 1 0 0 0 6 6 0 6 2 0 3 0 | 0 0 0 2 0 3 0 3 0 0 1 0 | * * 3 * * *
xx .. xx3ox&#x ♦ 6 12 | 3 0 6 12 6 6 6 | 0 3 0 2 6 0 6 6 0 3 3 2 | 0 1 0 0 3 3 0 0 2 0 0 1 | * * * 3 * *
.. xo xx3ox&#x ♦ 6 6 | 0 3 6 12 0 3 3 | 0 0 3 2 0 6 6 6 0 0 0 1 | 0 0 1 0 0 0 3 3 2 0 0 0 | * * * * 3 *
.x3.o .x3.x ♦ 0 18 | 0 0 0 0 18 9 9 | 0 0 0 0 0 0 0 0 6 9 9 3 | 0 0 0 0 0 0 0 0 0 3 3 3 | * * * * * 1
or o.3o. o.3o. & | 36 | 1 1 2 2 | 1 2 2 1 4 3 | 2 1 1 3 2 3 1 | 1 3 2 -----------------+----+-------------+------------------+-----------------+------ x. .. .. .. & | 2 | 18 * * * | 1 2 0 0 2 0 | 2 1 0 2 2 1 0 | 1 3 1 .. x. .. .. & | 2 | * 18 * * | 1 0 2 0 0 1 | 2 0 1 2 0 2 1 | 1 2 2 .. .. x. .. & | 2 | * * 36 * | 0 1 1 1 1 0 | 1 1 1 1 1 1 0 | 1 2 1 oo3oo oo3oo&#x | 2 | * * * 36 | 0 0 0 0 2 2 | 0 0 0 2 1 2 1 | 0 2 2 -----------------+----+-------------+------------------+-----------------+------ x.3x. .. .. & | 6 | 3 3 0 0 | 6 * * * * * | 2 0 0 2 0 0 0 | 1 2 1 x. .. x. .. & | 4 | 2 0 2 0 | * 18 * * * * | 1 1 0 0 1 0 0 | 1 2 0 .. x. x. .. & | 4 | 0 2 2 0 | * * 18 * * * | 1 0 1 0 0 1 0 | 1 1 1 .. .. x.3o. & | 3 | 0 0 3 0 | * * * 12 * * | 0 1 1 1 0 0 0 | 1 1 1 xx .. .. ..&#x & | 4 | 1 0 1 2 | * * * * 36 * | 0 0 0 1 1 1 0 | 0 2 1 .. xo .. ..&#x & | 3 | 0 1 0 2 | * * * * * 36 | 0 0 0 1 0 1 1 | 0 1 2 -----------------+----+-------------+------------------+-----------------+------ x.3x. x. .. & ♦ 12 | 6 6 6 0 | 2 3 3 0 0 0 | 6 * * * * * * | 1 1 0 x. .. x.3o. & ♦ 6 | 3 0 6 0 | 0 3 0 2 0 0 | * 6 * * * * * | 1 1 0 .. x. x.3o. & ♦ 6 | 0 3 6 0 | 0 0 3 2 0 0 | * * 6 * * * * | 1 0 1 xx3xo .. ..&#x & ♦ 9 | 3 3 3 6 | 1 0 0 1 3 3 | * * * 12 * * * | 0 1 1 xx .. xx ..&#x ♦ 8 | 4 0 4 4 | 0 2 0 0 4 0 | * * * * 9 * * | 0 2 0 xx .. .. ox&#x & ♦ 6 | 1 2 2 4 | 0 0 1 0 2 2 | * * * * * 18 * | 0 1 1 .. xo .. ox&#x ♦ 4 | 0 2 0 4 | 0 0 0 0 0 4 | * * * * * * 9 | 0 0 2 -----------------+----+-------------+------------------+-----------------+------ x.3x. x.3o. & ♦ 18 | 9 9 18 0 | 3 9 9 6 0 0 | 3 3 3 0 0 0 0 | 2 * * xx3xo xx ..&#x & ♦ 18 | 9 6 12 12 | 2 6 3 2 12 6 | 1 1 0 2 3 3 0 | * 6 * xx3xo .. ox&#x & ♦ 12 | 3 6 6 12 | 1 0 3 2 6 12 | 0 0 1 2 0 3 3 | * * 6
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