Acronym pabex hix (alt.: thiddipcup) Name partially bi-expanded hexateron,thiddip cupoliprism Circumradius sqrt(17/12) = 1.190238 Confer uniform relative: hix   related segmentotera: pexhix   n/d,2n/d-dipcup   general polytopal classes: partial Stott expansions   scaliform   segmentotera   lace simplices Externallinks

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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