Acronym squicuffip Name squicuf prism,tes atop op Circumradius sqrt[7+2 sqrt(2)]/2 = 1.567516 Lace cityin approx. ASCII-art ```o4x x o4x x x4x o x4x o ``` ```o4x x o4x x x4x x ``` Dihedral angles at trip between tepe and tisdip:   150° at cube between tes and tisdip:   arccos(-sqrt[2/3]) = 144.735610° at cube between squicuf and tes:   90° at squacu between squacupe and squicuf:   90° at op between squacupe and squacupe:   90° at op between squicuf and squicuf:   90° at trip between squicuf and tisdip:   90° at trip between squacupe and tepe:   60° at cube between squacupe and tisdip:   arccos[1/sqrt(3)] = 54.735610° at cube between squacupe and tes:   45° Confer uniform relative: sidpithip   general polytopal classes: segmentotera

Incidence matrix according to Dynkin symbol

```ox4xx xo xx&#x   → height = 1/2
(tes || op)

o.4o. o. o.    | 16  * |  2 1 1  2 0 0 0 | 1 2 2 1  1  2  2  2 0 0 0 | 1 1 2 1 1 1 2 2 2 0 | 1 1 1 1 2
.o4.o .o .o    |  * 16 |  0 0 0  2 1 1 1 | 0 0 0 0  2  2  1  2 1 1 1 | 0 0 0 2 1 2 1 2 1 1 | 0 1 2 1 1
---------------+-------+-----------------+---------------------------+---------------------+----------
.. x. .. ..    |  2  0 | 16 * *  * * * * | 1 1 1 0  0  1  0  0 0 0 0 | 1 1 1 1 0 0 1 1 0 0 | 1 1 1 1 0
.. .. x. ..    |  2  0 |  * 8 *  * * * * | 0 2 0 1  0  0  2  0 0 0 0 | 1 0 2 0 1 0 2 0 2 0 | 1 1 0 1 2
.. .. .. x.    |  2  0 |  * * 8  * * * * | 0 0 2 1  0  0  0  2 0 0 0 | 0 1 2 0 0 1 0 2 2 0 | 1 0 1 1 2
oo4oo oo oo&#x |  1  1 |  * * * 32 * * * | 0 0 0 0  1  1  1  1 0 0 0 | 0 0 0 1 1 1 1 1 1 0 | 0 1 1 1 1
.x .. .. ..    |  0  2 |  * * *  * 8 * * | 0 0 0 0  2  0  0  0 1 1 0 | 0 0 0 2 1 2 0 0 0 1 | 0 1 2 1 0
.. .x .. ..    |  0  2 |  * * *  * * 8 * | 0 0 0 0  0  2  0  0 1 0 1 | 0 0 0 2 0 0 1 2 0 1 | 0 1 2 0 1
.. .. .. .x    |  0  2 |  * * *  * * * 8 | 0 0 0 0  0  0  0  2 0 1 1 | 0 0 0 0 0 2 0 2 1 1 | 0 0 2 1 1
---------------+-------+-----------------+---------------------------+---------------------+----------
o.4x. .. ..    |  4  0 |  4 0 0  0 0 0 0 | 4 * * *  *  *  *  * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
.. x. x. ..    |  4  0 |  2 2 0  0 0 0 0 | * 8 * *  *  *  *  * * * * | 1 0 1 0 0 0 1 0 0 0 | 1 1 0 0 1
.. x. .. x.    |  4  0 |  2 0 2  0 0 0 0 | * * 8 *  *  *  *  * * * * | 0 1 1 0 0 0 0 1 0 0 | 1 0 1 0 1
.. .. x. x.    |  4  0 |  0 2 2  0 0 0 0 | * * * 4  *  *  *  * * * * | 0 0 2 0 0 0 0 0 2 0 | 1 0 0 1 2
ox .. .. ..&#x |  1  2 |  0 0 0  2 1 0 0 | * * * * 16  *  *  * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.. xx .. ..&#x |  2  2 |  1 0 0  2 0 1 0 | * * * *  * 16  *  * * * * | 0 0 0 1 0 0 1 1 0 0 | 0 1 1 0 1
.. .. xo ..&#x |  2  1 |  0 1 0  2 0 0 0 | * * * *  *  * 16  * * * * | 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1
.. .. .. xx&#x |  2  2 |  0 0 1  2 0 0 1 | * * * *  *  *  * 16 * * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
.x4.x .. ..    |  0  8 |  0 0 0  0 4 4 0 | * * * *  *  *  *  * 2 * * | 0 0 0 2 0 0 0 0 0 1 | 0 1 2 0 0
.x .. .. .x    |  0  4 |  0 0 0  0 2 0 2 | * * * *  *  *  *  * * 4 * | 0 0 0 0 0 2 0 0 0 1 | 0 0 2 1 0
.. .x .. .x    |  0  4 |  0 0 0  0 0 2 2 | * * * *  *  *  *  * * * 4 | 0 0 0 0 0 0 0 2 0 1 | 0 0 2 0 1
---------------+-------+-----------------+---------------------------+---------------------+----------
o.4x. x. ..    ♦  8  0 |  8 4 0  0 0 0 0 | 2 4 0 0  0  0  0  0 0 0 0 | 2 * * * * * * * * * | 1 1 0 0 0
o.4x. .. x.    ♦  8  0 |  8 0 4  0 0 0 0 | 2 0 4 0  0  0  0  0 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 0
.. x. x. x.    ♦  8  0 |  4 4 4  0 0 0 0 | 0 2 2 2  0  0  0  0 0 0 0 | * * 4 * * * * * * * | 1 0 0 0 1
ox4xx .. ..&#x ♦  4  8 |  4 0 0  8 4 4 0 | 1 0 0 0  4  4  0  0 1 0 0 | * * * 4 * * * * * * | 0 1 1 0 0
ox .. xo ..&#x ♦  2  2 |  0 1 0  4 1 0 0 | 0 0 0 0  2  0  2  0 0 0 0 | * * * * 8 * * * * * | 0 1 0 1 0
ox .. .. xx&#x ♦  2  4 |  0 0 1  4 2 0 2 | 0 0 0 0  2  0  0  2 0 1 0 | * * * * * 8 * * * * | 0 0 1 1 0
.. xx xo ..&#x ♦  4  2 |  2 2 0  4 0 1 0 | 0 1 0 0  0  2  2  0 0 0 0 | * * * * * * 8 * * * | 0 1 0 0 1
.. xx .. xx&#x ♦  4  4 |  2 0 2  4 0 2 2 | 0 0 1 0  0  2  0  2 0 0 1 | * * * * * * * 8 * * | 0 0 1 0 1
.. .. xo xx&#x ♦  4  2 |  0 2 2  4 0 0 1 | 0 0 0 1  0  0  2  2 0 0 0 | * * * * * * * * 8 * | 0 0 0 1 1
.x4.x .. .x    ♦  0 16 |  0 0 0  0 8 8 8 | 0 0 0 0  0  0  0  0 2 4 4 | * * * * * * * * * 1 | 0 0 2 0 0
---------------+-------+-----------------+---------------------------+---------------------+----------
o.4x. x. x.    ♦ 16  0 | 16 8 8  0 0 0 0 | 4 8 8 4  0  0  0  0 0 0 0 | 2 2 4 0 0 0 0 0 0 0 | 1 * * * *
ox4xx xo ..&#x ♦  8  8 |  8 4 0 16 4 4 0 | 2 4 0 0  8  8  8  0 1 0 0 | 1 0 0 2 4 0 4 0 0 0 | * 2 * * *
ox4xx .. xx&#x ♦  8 16 |  8 0 4 16 8 8 8 | 2 0 4 0  8  8  0  8 2 4 4 | 0 1 0 2 0 4 0 4 0 1 | * * 2 * *
ox .. xo xx&#x ♦  4  4 |  0 2 2  8 2 0 2 | 0 0 0 1  4  0  4  4 0 1 0 | 0 0 0 0 2 2 0 0 2 0 | * * * 4 *
.. xx xo xx&#x ♦  8  4 |  4 4 4  8 0 2 2 | 0 2 2 2  0  4  4  4 0 0 1 | 0 0 1 0 0 0 2 2 2 0 | * * * * 4
```

```ox4xx xo&#x || ox4xx xo&#x   → height = 1
(squicuf || squicuf)

o.4o. o.      .. .. ..    | 8 * * * | 2 1  2 1 0 0 0 0 0  0 0 0 | 1 2 1 2 2 2 1  2 0 0 0 0 0 0 0 0 0 | 1 1 1 2 1 2 1 2 2 0 0 0 0 0 | 1 1 1 1 2 0
.o4.o .o      .. .. ..    | * 8 * * | 0 0  2 0 1 1 1 0 0  0 0 0 | 0 0 2 2 1 0 0  2 1 1 1 0 0 0 0 0 0 | 0 2 1 1 0 0 2 2 1 1 0 0 0 0 | 1 0 2 1 1 0
.. .. ..      o.4o. o.    | * * 8 * | 0 0  0 1 0 0 0 2 1  2 0 0 | 0 0 0 0 0 2 1  2 0 0 0 1 2 1 2 2 0 | 0 0 0 0 1 2 1 2 2 0 1 1 1 2 | 0 1 1 1 2 1
.. .. ..      .o4.o .o    | * * * 8 | 0 0  0 0 0 0 1 0 0  2 1 1 | 0 0 0 0 0 0 0  2 0 1 1 0 0 2 2 1 1 | 0 0 0 0 0 0 2 2 1 1 0 2 1 1 | 0 0 2 1 1 1
--------------------------+---------+---------------------------+------------------------------------+-----------------------------+------------
.. x. ..      .. .. ..    | 2 0 0 0 | 8 *  * * * * * * *  * * * | 1 1 0 1 0 1 0  0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 1 0
.. .. x.      .. .. ..    | 2 0 0 0 | * 4  * * * * * * *  * * * | 0 2 0 0 2 0 1  0 0 0 0 0 0 0 0 0 0 | 1 0 1 2 0 2 0 0 2 0 0 0 0 0 | 1 1 0 1 2 0
oo4oo oo&#x   .. .. ..    | 1 1 0 0 | * * 16 * * * * * *  * * * | 0 0 1 1 1 0 0  1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 1 1 1 0 0 0 0 0 | 1 0 1 1 1 0
o.4o. o.    || o.4o. o.    | 1 0 1 0 | * *  * 8 * * * * *  * * * | 0 0 0 0 0 2 1  2 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 2 1 2 2 0 0 0 0 0 | 0 1 1 1 2 0
.x .. ..      .. .. ..    | 0 2 0 0 | * *  * * 4 * * * *  * * * | 0 0 2 0 0 0 0  0 1 1 0 0 0 0 0 0 0 | 0 2 1 0 0 0 2 0 0 1 0 0 0 0 | 1 0 2 1 0 0
.. .x ..      .. .. ..    | 0 2 0 0 | * *  * * * 4 * * *  * * * | 0 0 0 2 0 0 0  0 1 0 1 0 0 0 0 0 0 | 0 2 0 1 0 0 0 2 0 1 0 0 0 0 | 1 0 2 0 1 0
.o4.o .o    || .o4.o .o    | 0 1 0 1 | * *  * * * * 8 * *  * * * | 0 0 0 0 0 0 0  2 0 1 1 0 0 0 0 0 0 | 0 0 0 0 0 0 2 2 1 1 0 0 0 0 | 0 0 2 1 1 0
.. .. ..      .. x. ..    | 0 0 2 0 | * *  * * * * * 8 *  * * * | 0 0 0 0 0 1 0  0 0 0 0 1 1 0 1 0 0 | 0 0 0 0 1 1 0 1 0 0 1 1 0 1 | 0 1 1 0 1 1
.. .. ..      .. .. x.    | 0 0 2 0 | * *  * * * * * * 4  * * * | 0 0 0 0 0 0 1  0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 0 2 0 0 2 0 1 0 1 2 | 0 1 0 1 2 1
.. .. ..      oo4oo oo&#x | 0 0 1 1 | * *  * * * * * * * 16 * * | 0 0 0 0 0 0 0  1 0 0 0 0 0 1 1 1 0 | 0 0 0 0 0 0 1 1 1 0 0 1 1 1 | 0 0 1 1 1 1
.. .. ..      .x .. ..    | 0 0 0 2 | * *  * * * * * * *  * 4 * | 0 0 0 0 0 0 0  0 0 1 0 0 0 2 0 0 1 | 0 0 0 0 0 0 2 0 0 1 0 2 1 0 | 0 0 2 1 0 1
.. .. ..      .. .x ..    | 0 0 0 2 | * *  * * * * * * *  * * 4 | 0 0 0 0 0 0 0  0 0 0 1 0 0 0 2 0 1 | 0 0 0 0 0 0 0 2 0 1 0 2 0 1 | 0 0 2 0 1 1
--------------------------+---------+---------------------------+------------------------------------+-----------------------------+------------
o.4x. ..      .. .. ..    | 4 0 0 0 | 4 0  0 0 0 0 0 0 0  0 0 0 | 2 * * * * * *  * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.. x. x.      .. .. ..    | 4 0 0 0 | 2 2  0 0 0 0 0 0 0  0 0 0 | * 4 * * * * *  * * * * * * * * * * | 1 0 0 1 0 1 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0
ox .. ..&#x   .. .. ..    | 1 2 0 0 | 0 0  2 0 1 0 0 0 0  0 0 0 | * * 8 * * * *  * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. xx ..&#x   .. .. ..    | 2 2 0 0 | 1 0  2 0 0 1 0 0 0  0 0 0 | * * * 8 * * *  * * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
.. .. xo&#x   .. .. ..    | 2 1 0 0 | 0 1  2 0 0 0 0 0 0  0 0 0 | * * * * 8 * *  * * * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
.. x. ..    || .. x. ..    | 2 0 2 0 | 1 0  0 2 0 0 0 1 0  0 0 0 | * * * * * 8 *  * * * * * * * * * * | 0 0 0 0 1 1 0 1 0 0 0 0 0 0 | 0 1 1 0 1 0
.. .. x.    || .. .. x.    | 2 0 2 0 | 0 1  0 2 0 0 0 0 1  0 0 0 | * * * * * * 4  * * * * * * * * * * | 0 0 0 0 0 2 0 0 2 0 0 0 0 0 | 0 1 0 1 2 0
oo4oo oo&#x || oo4oo oo&#x | 1 1 1 1 | 0 0  1 1 0 0 1 0 0  1 0 0 | * * * * * * * 16 * * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x4.x ..      .. .. ..    | 0 8 0 0 | 0 0  0 0 4 4 0 0 0  0 0 0 | * * * * * * *  * 1 * * * * * * * * | 0 2 0 0 0 0 0 0 0 1 0 0 0 0 | 1 0 2 0 0 0
.x .. ..    || .x .. ..    | 0 2 0 2 | 0 0  0 0 1 0 2 0 0  0 1 0 | * * * * * * *  * * 4 * * * * * * * | 0 0 0 0 0 0 2 0 0 1 0 0 0 0 | 0 0 2 1 0 0
.. .x ..    || .. .x ..    | 0 2 0 2 | 0 0  0 0 0 1 2 0 0  0 0 1 | * * * * * * *  * * * 4 * * * * * * | 0 0 0 0 0 0 0 2 0 1 0 0 0 0 | 0 0 2 0 1 0
.. .. ..      o.4x. ..    | 0 0 4 0 | 0 0  0 0 0 0 0 4 0  0 0 0 | * * * * * * *  * * * * 2 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.. .. ..      .. x. x.    | 0 0 4 0 | 0 0  0 0 0 0 0 2 2  0 0 0 | * * * * * * *  * * * * * 4 * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .. ..      ox .. ..&#x | 0 0 1 2 | 0 0  0 0 0 0 0 0 0  2 1 0 | * * * * * * *  * * * * * * 8 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .. ..      .. xx ..&#x | 0 0 2 2 | 0 0  0 0 0 0 0 1 0  2 0 1 | * * * * * * *  * * * * * * * 8 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
.. .. ..      .. .. xo&#x | 0 0 2 1 | 0 0  0 0 0 0 0 0 1  2 0 0 | * * * * * * *  * * * * * * * * 8 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
.. .. ..      .x4.x ..    | 0 0 0 8 | 0 0  0 0 0 0 0 0 0  0 4 4 | * * * * * * *  * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 1 0 2 0 0 | 0 0 2 0 0 1
--------------------------+---------+---------------------------+------------------------------------+-----------------------------+------------
o.4x. x.      .. .. ..    ♦ 8 0 0 0 | 8 4  0 0 0 0 0 0 0  0 0 0 | 2 4 0 0 0 0 0  0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * | 1 1 0 0 0 0
ox4xx ..&#x   .. .. ..    ♦ 4 8 0 0 | 4 0  8 0 4 4 0 0 0  0 0 0 | 1 0 4 4 0 0 0  0 1 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 1 0 1 0 0 0
ox .. xo&#x   .. .. ..    ♦ 2 2 0 0 | 0 1  4 0 1 0 0 0 0  0 0 0 | 0 0 2 0 2 0 0  0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * | 1 0 0 1 0 0
.. xx xo&#x   .. .. ..    ♦ 4 2 0 0 | 2 2  4 0 0 1 0 0 0  0 0 0 | 0 1 0 2 2 0 0  0 0 0 0 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * | 1 0 0 0 1 0
o.4x. ..    || o.4x. ..    ♦ 4 0 4 0 | 4 0  0 4 0 0 0 4 0  0 0 0 | 1 0 0 0 0 4 0  0 0 0 0 1 0 0 0 0 0 | * * * * 2 * * * * * * * * * | 0 1 1 0 0 0
.. x. x.    || .. x. x.    ♦ 4 0 4 0 | 2 2  0 4 0 0 0 2 2  0 0 0 | 0 1 0 0 0 2 2  0 0 0 0 0 1 0 0 0 0 | * * * * * 4 * * * * * * * * | 0 1 0 0 1 0
ox .. ..&#x || ox .. ..&#x ♦ 1 2 1 2 | 0 0  2 1 1 0 2 0 0  2 1 0 | 0 0 1 0 0 0 0  2 0 1 0 0 0 1 0 0 0 | * * * * * * 8 * * * * * * * | 0 0 1 1 0 0
.. xx ..&#x || .. xx ..&#x ♦ 2 2 2 2 | 1 0  2 2 0 1 2 1 0  2 0 1 | 0 0 0 1 0 1 0  2 0 0 1 0 0 0 1 0 0 | * * * * * * * 8 * * * * * * | 0 0 1 0 1 0
.. .. xo&#x || .. .. xo&#x ♦ 2 1 2 1 | 0 1  2 2 0 0 1 0 1  2 0 0 | 0 0 0 0 1 0 1  2 0 0 0 0 0 0 0 1 0 | * * * * * * * * 8 * * * * * | 0 0 0 1 1 0
.x4.x ..    || .x4.x ..    ♦ 0 8 0 8 | 0 0  0 0 4 4 8 0 0  0 4 4 | 0 0 0 0 0 0 0  0 1 4 4 0 0 0 0 0 1 | * * * * * * * * * 1 * * * * | 0 0 2 0 0 0
.. .. ..      o.4x. x.    ♦ 0 0 8 0 | 0 0  0 0 0 0 0 8 4  0 0 0 | 0 0 0 0 0 0 0  0 0 0 0 2 4 0 0 0 0 | * * * * * * * * * * 1 * * * | 0 1 0 0 0 1
.. .. ..      ox4xx ..&#x ♦ 0 0 4 8 | 0 0  0 0 0 0 0 4 0  8 4 4 | 0 0 0 0 0 0 0  0 0 0 0 1 0 4 4 0 1 | * * * * * * * * * * * 2 * * | 0 0 1 0 0 1
.. .. ..      ox .. xo&#x ♦ 0 0 2 2 | 0 0  0 0 0 0 0 0 1  4 1 0 | 0 0 0 0 0 0 0  0 0 0 0 0 0 2 0 2 0 | * * * * * * * * * * * * 4 * | 0 0 0 1 0 1
.. .. ..      .. xx xo&#x ♦ 0 0 4 2 | 0 0  0 0 0 0 0 2 2  4 0 1 | 0 0 0 0 0 0 0  0 0 0 0 0 1 0 2 2 0 | * * * * * * * * * * * * * 4 | 0 0 0 0 1 1
--------------------------+---------+---------------------------+------------------------------------+-----------------------------+------------
ox4xx xo&#x   .. .. ..    ♦ 8 8 0 0 | 8 4 16 0 4 4 0 0 0  0 0 0 | 2 4 8 8 8 0 0  0 1 0 0 0 0 0 0 0 0 | 1 2 4 4 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
o.4x. x.    || o.4x. x.    ♦ 8 0 8 0 | 8 4  0 8 0 0 0 8 4  0 0 0 | 2 4 0 0 0 8 4  0 0 0 0 2 4 0 0 0 0 | 1 0 0 0 2 4 0 0 0 0 1 0 0 0 | * 1 * * * *
ox4xx ..&#x || ox4xx ..&#x ♦ 4 8 4 8 | 4 0  8 4 4 4 8 4 0  8 4 4 | 1 0 4 4 0 4 0  8 1 4 4 1 0 4 4 0 1 | 0 1 0 0 1 0 4 4 0 1 0 1 0 0 | * * 2 * * *
ox .. xo&#x || ox .. xo&#x ♦ 2 2 2 2 | 0 1  4 2 1 0 2 0 1  4 1 0 | 0 0 2 0 2 0 1  4 0 1 0 0 0 2 0 2 0 | 0 0 1 0 0 0 2 0 2 0 0 0 1 0 | * * * 4 * *
.. xx xo&#x || .. xx xo&#x ♦ 4 2 4 2 | 2 2  4 4 0 1 2 2 2  4 0 1 | 0 1 0 2 2 2 2  4 0 0 1 0 1 0 2 2 0 | 0 0 0 1 0 1 0 2 2 0 0 0 0 1 | * * * * 4 *
.. .. ..      ox4xx xo&#x ♦ 0 0 8 8 | 0 0  0 0 0 0 0 8 4 16 4 4 | 0 0 0 0 0 0 0  0 0 0 0 2 4 8 8 8 1 | 0 0 0 0 0 0 0 0 0 0 1 2 4 4 | * * * * * 1
```