Acronym squaco Name square-cuboctahedron duoprism Circumradius sqrt(3/2) = 1.224745 Volume 5 sqrt(2)/3 = 2.357023 Confer more general: n,co-dip   uniform relative: nit   related segmentotera: squatricu   general polytopal classes: segmentotera   lace simplices Externallinks

Incidence matrix according to Dynkin symbol

```x4o o3x4o

. . . . . | 48 |  2  4 |  1  8  2  2 |  4  4  4 1 | 2 2 2
----------+----+-------+-------------+------------+------
x . . . . |  2 | 48  * |  1  4  0  0 |  4  2  2 0 | 2 2 1
. . . x . |  2 |  * 96 |  0  2  1  1 |  1  2  2 1 | 1 1 2
----------+----+-------+-------------+------------+------
x4o . . . |  4 |  4  0 | 12  *  *  * |  4  0  0 0 | 2 2 0
x . . x . |  4 |  2  2 |  * 96  *  * |  1  1  1 0 | 1 1 1
. . o3x . |  3 |  0  3 |  *  * 32  * |  0  2  0 1 | 1 0 2
. . . x4o |  4 |  0  4 |  *  *  * 24 |  0  0  2 1 | 0 1 2
----------+----+-------+-------------+------------+------
x4o . x . ♦  8 |  8  4 |  2  4  0  0 | 24  *  * * | 1 1 0
x . o3x . ♦  6 |  3  6 |  0  3  2  0 |  * 32  * * | 1 0 1
x . . x4o ♦  8 |  4  8 |  0  4  0  2 |  *  * 24 * | 0 1 1
. . o3x4o ♦ 12 |  0 24 |  0  0  8  6 |  *  *  * 4 | 0 0 2
----------+----+-------+-------------+------------+------
x4o o3x . ♦ 12 | 12 12 |  3 12  4  0 |  3  4  0 0 | 8 * *
x4o . x4o ♦ 16 | 16 16 |  4 16  0  4 |  4  0  4 0 | * 6 *
x . o3x4o ♦ 24 | 12 48 |  0 24 16 12 |  0  8  6 2 | * * 4
```

```x x o3x4o

. . . . . | 48 |  1  1  4 |  1  4  4  2  2 |  4  2  2  2  2 1 | 2 2 1 1
----------+----+----------+----------------+------------------+--------
x . . . . |  2 | 24  *  * |  1  4  0  0  0 |  4  2  2  0  0 0 | 2 2 1 0
. x . . . |  2 |  * 24  * |  1  0  4  0  0 |  4  0  0  2  2 0 | 2 2 0 1
. . . x . |  2 |  *  * 96 |  0  1  1  1  1 |  1  1  1  1  1 1 | 1 1 1 1
----------+----+----------+----------------+------------------+--------
x x . . . |  4 |  2  2  0 | 12  *  *  *  * |  4  0  0  0  0 0 | 2 2 0 0
x . . x . |  4 |  2  0  2 |  * 48  *  *  * |  1  1  1  0  0 0 | 1 1 1 0
. x . x . |  4 |  0  2  2 |  *  * 48  *  * |  1  0  0  1  1 0 | 1 1 0 1
. . o3x . |  3 |  0  0  3 |  *  *  * 32  * |  0  1  0  1  0 1 | 1 0 1 1
. . . x4o |  4 |  0  0  4 |  *  *  *  * 24 |  0  0  1  0  1 1 | 0 1 1 1
----------+----+----------+----------------+------------------+--------
x x . x . ♦  8 |  4  4  4 |  2  2  2  0  0 | 24  *  *  *  * * | 1 1 0 0
x . o3x . ♦  6 |  3  0  6 |  0  3  0  2  0 |  * 16  *  *  * * | 1 0 1 0
x . . x4o ♦  8 |  4  0  8 |  0  4  0  0  2 |  *  * 12  *  * * | 0 1 1 0
. x o3x . ♦  6 |  0  3  6 |  0  0  3  2  0 |  *  *  * 16  * * | 1 0 0 1
. x . x4o ♦  8 |  0  4  8 |  0  0  4  0  2 |  *  *  *  * 12 * | 0 1 0 1
. . o3x4o ♦ 12 |  0  0 24 |  0  0  0  8  6 |  *  *  *  *  * 4 | 0 0 1 1
----------+----+----------+----------------+------------------+--------
x x o3x . ♦ 12 |  6  6 12 |  3  6  6  4  0 |  3  2  0  2  0 0 | 8 * * *
x x . x4o ♦ 16 |  8  8 16 |  4  8  8  0  4 |  4  0  2  0  2 0 | * 6 * *
x . o3x4o ♦ 24 | 12  0 48 |  0 24  0 16 12 |  0  8  6  0  0 2 | * * 2 *
. x o3x4o ♦ 24 |  0 12 48 |  0  0 24 16 12 |  0  0  0  8  6 2 | * * * 2
```

```x4o x3o3x

. . . . . | 48 |  2  2  2 |  1  4  4  1  2  1 |  2  2  2  4  2 1 | 1 2 1 2
----------+----+----------+-------------------+------------------+--------
x . . . . |  2 | 48  *  * |  1  2  2  0  0  0 |  2  2  1  4  1 0 | 1 2 1 1
. . x . . |  2 |  * 48  * |  0  2  0  1  1  0 |  1  0  2  2  0 1 | 1 1 0 2
. . . . x |  2 |  *  * 48 |  0  0  2  0  1  1 |  0  1  0  2  2 1 | 0 1 1 2
----------+----+----------+-------------------+------------------+--------
x4o . . . |  4 |  4  0  0 | 12  *  *  *  *  * |  2  2  0  0  0 0 | 1 2 1 0
x . x . . |  4 |  2  2  0 |  * 48  *  *  *  * |  1  0  1  1  0 0 | 1 1 0 1
x . . . x |  4 |  2  0  2 |  *  * 48  *  *  * |  0  1  0  1  1 0 | 0 1 1 1
. . x3o . |  3 |  0  3  0 |  *  *  * 16  *  * |  0  0  2  0  0 1 | 1 0 0 2
. . x . x |  4 |  0  2  2 |  *  *  *  * 24  * |  0  0  0  2  0 1 | 0 1 0 2
. . . o3x |  3 |  0  0  3 |  *  *  *  *  * 16 |  0  0  0  0  2 1 | 0 0 1 2
----------+----+----------+-------------------+------------------+--------
x4o x . . ♦  8 |  8  4  0 |  2  4  0  0  0  0 | 12  *  *  *  * * | 1 1 0 0
x4o . . x ♦  8 |  8  0  4 |  2  0  4  0  0  0 |  * 12  *  *  * * | 0 1 1 0
x . x3o . ♦  6 |  3  6  0 |  0  3  0  2  0  0 |  *  * 16  *  * * | 1 0 0 1
x . x . x ♦  8 |  4  4  4 |  0  2  2  0  2  0 |  *  *  * 24  * * | 0 1 0 1
x . . o3x ♦  6 |  3  0  6 |  0  0  3  0  0  2 |  *  *  *  * 16 * | 0 0 1 1
. . x3o3x ♦ 12 |  0 12 12 |  0  0  0  4  6  4 |  *  *  *  *  * 4 | 0 0 0 2
----------+----+----------+-------------------+------------------+--------
x4o x3o . ♦ 12 | 12 12  0 |  3 12  0  4  0  0 |  3  0  4  0  0 0 | 4 * * *
x4o x . x ♦ 16 | 16  8  8 |  4  8  8  0  4  0 |  2  2  0  4  0 0 | * 6 * *
x4o . o3x ♦ 12 | 12  0 12 |  3  0 12  0  0  4 |  0  3  0  0  4 0 | * * 4 *
x . x3o3x ♦ 24 | 12 24 24 |  0 12 12  8 12  8 |  0  0  4  6  4 2 | * * * 4
```

```x x x3o3x

. . . . . | 48 |  1  1  2  2 |  1  2  2  2  2  1  2  1 |  2  2 1  2 1 1  2 1 1 | 1 2 1 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x . . . . |  2 | 24  *  *  * |  1  2  2  0  0  0  0  0 |  2  2 1  2 1 0  0 0 0 | 1 2 1 1 0
. x . . . |  2 |  * 24  *  * |  1  0  0  2  2  0  0  0 |  2  2 0  0 0 1  2 1 0 | 1 2 1 0 1
. . x . . |  2 |  *  * 48  * |  0  1  0  1  0  1  1  0 |  1  0 1  1 0 1  1 0 1 | 1 1 0 1 1
. . . . x |  2 |  *  *  * 48 |  0  0  1  0  1  0  1  1 |  0  1 0  1 1 0  1 1 1 | 0 1 1 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x x . . . |  4 |  2  2  0  0 | 12  *  *  *  *  *  *  * |  2  2 0  0 0 0  0 0 0 | 1 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 24  *  *  *  *  *  * |  1  0 1  1 0 0  0 0 0 | 1 1 0 1 0
x . . . x |  4 |  2  0  0  2 |  *  * 24  *  *  *  *  * |  0  1 0  1 1 0  0 0 0 | 0 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 24  *  *  *  * |  1  0 0  0 0 1  1 0 0 | 1 1 0 0 1
. x . . x |  4 |  0  2  0  2 |  *  *  *  * 24  *  *  * |  0  1 0  0 0 0  1 1 0 | 0 1 1 0 1
. . x3o . |  3 |  0  0  3  0 |  *  *  *  *  * 16  *  * |  0  0 1  0 0 1  0 0 1 | 1 0 0 1 1
. . x . x |  4 |  0  0  2  2 |  *  *  *  *  *  * 24  * |  0  0 0  1 0 0  1 0 1 | 0 1 0 1 1
. . . o3x |  3 |  0  0  0  3 |  *  *  *  *  *  *  * 16 |  0  0 0  0 1 0  0 1 1 | 0 0 1 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x x x . . ♦  8 |  4  4  4  0 |  2  2  0  2  0  0  0  0 | 12  * *  * * *  * * * | 1 1 0 0 0
x x . . x ♦  8 |  4  4  0  4 |  2  0  2  0  2  0  0  0 |  * 12 *  * * *  * * * | 0 1 1 0 0
x . x3o . ♦  6 |  3  0  6  0 |  0  3  0  0  0  2  0  0 |  *  * 8  * * *  * * * | 1 0 0 1 0
x . x . x ♦  8 |  4  0  4  4 |  0  2  2  0  0  0  2  0 |  *  * * 12 * *  * * * | 0 1 0 1 0
x . . o3x ♦  6 |  3  0  0  6 |  0  0  3  0  0  0  0  2 |  *  * *  * 8 *  * * * | 0 0 1 1 0
. x x3o . ♦  6 |  0  3  6  0 |  0  0  0  3  0  2  0  0 |  *  * *  * * 8  * * * | 1 0 0 0 1
. x x . x ♦  8 |  0  4  4  4 |  0  0  0  2  2  0  2  0 |  *  * *  * * * 12 * * | 0 1 0 0 1
. x . o3x ♦  6 |  0  3  0  6 |  0  0  0  0  3  0  0  2 |  *  * *  * * *  * 8 * | 0 0 1 0 1
. . x3o3x ♦ 12 |  0  0 12 12 |  0  0  0  0  0  4  6  4 |  *  * *  * * *  * * 4 | 0 0 0 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x x x3o . ♦ 12 |  6  6 12  0 |  3  6  0  6  0  4  0  0 |  3  0 2  0 0 2  0 0 0 | 4 * * * *
x x x . x ♦ 16 |  8  8  8  8 |  4  4  4  4  4  0  4  0 |  2  2 0  2 0 0  2 0 0 | * 6 * * *
x x . o3x ♦ 12 |  6  6  0 12 |  3  0  6  0  6  0  0  4 |  0  3 0  0 2 0  0 2 0 | * * 4 * *
x . x3o3x ♦ 24 | 12  0 24 24 |  0 12 12  0  0  8 12  8 |  0  0 4  6 4 0  0 0 2 | * * * 2 *
. x x3o3x ♦ 24 |  0 12 24 24 |  0  0  0 12 12  8 12  8 |  0  0 0  0 0 4  6 4 2 | * * * * 2
```

```xx oo3xx4oo&#x   → height = 1
(cope || cope)

...
```

```xx xx3oo3xx&#x   → height = 1
(cope || cope)

o. o.3o.3o.    | 24  * |  1  2  2  1  0  0  0 |  2  2 1  2 1  1  2  2  0  0 0  0 0 | 1 2 1 1  2  2 1  2 1 0 0 0 0 | 1 1 2 1 1 0
.o .o3.o3.o    |  * 24 |  0  0  0  1  1  2  2 |  0  0 0  0 0  1  2  2  2  2 1  2 1 | 0 0 0 0  2  2 1  2 1 1 2 1 1 | 0 1 2 1 1 1
---------------+-------+----------------------+------------------------------------+------------------------------+------------
x. .. .. ..    |  2  0 | 12  *  *  *  *  *  * |  2  2 0  0 0  1  0  0  0  0 0  0 0 | 1 2 1 0  2  2 0  0 0 0 0 0 0 | 1 1 2 1 0 0
.. x. .. ..    |  2  0 |  * 24  *  *  *  *  * |  1  0 1  1 0  0  1  0  0  0 0  0 0 | 1 1 0 1  1  0 1  1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. .. x.    |  2  0 |  *  * 24  *  *  *  * |  0  1 0  1 1  0  0  1  0  0 0  0 0 | 0 1 1 1  0  1 0  1 1 0 0 0 0 | 1 0 1 1 1 0
oo oo3oo3oo&#x |  1  1 |  *  *  * 24  *  *  * |  0  0 0  0 0  1  2  2  0  0 0  0 0 | 0 0 0 0  2  2 1  2 1 0 0 0 0 | 0 1 2 1 1 0
.x .. .. ..    |  0  2 |  *  *  *  * 12  *  * |  0  0 0  0 0  1  0  0  2  2 0  0 0 | 0 0 0 0  2  2 0  0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x .. ..    |  0  2 |  *  *  *  *  * 24  * |  0  0 0  0 0  0  1  0  1  0 1  1 0 | 0 0 0 0  1  0 1  1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .. .x    |  0  2 |  *  *  *  *  *  * 24 |  0  0 0  0 0  0  0  1  0  1 0  1 1 | 0 0 0 0  0  1 0  1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+----------------------+------------------------------------+------------------------------+------------
x. x. .. ..    |  4  0 |  2  2  0  0  0  0  0 | 12  * *  * *  *  *  *  *  * *  * * | 1 1 0 0  1  0 0  0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. .. x.    |  4  0 |  2  0  2  0  0  0  0 |  * 12 *  * *  *  *  *  *  * *  * * | 0 1 1 0  0  1 0  0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.3o. ..    |  3  0 |  0  3  0  0  0  0  0 |  *  * 8  * *  *  *  *  *  * *  * * | 1 0 0 1  0  0 1  0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x.    |  4  0 |  0  2  2  0  0  0  0 |  *  * * 12 *  *  *  *  *  * *  * * | 0 1 0 1  0  0 0  1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. o.3x.    |  3  0 |  0  0  3  0  0  0  0 |  *  * *  * 8  *  *  *  *  * *  * * | 0 0 1 1  0  0 0  0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x |  2  2 |  1  0  0  2  1  0  0 |  *  * *  * * 12  *  *  *  * *  * * | 0 0 0 0  2  2 0  0 0 0 0 0 0 | 0 1 2 1 0 0
.. xx .. ..&#x |  2  2 |  0  1  0  2  0  1  0 |  *  * *  * *  * 24  *  *  * *  * * | 0 0 0 0  1  0 1  1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. .. xx&#x |  2  2 |  0  0  1  2  0  0  1 |  *  * *  * *  *  * 24  *  * *  * * | 0 0 0 0  0  1 0  1 1 0 0 0 0 | 0 0 1 1 1 0
.x .x .. ..    |  0  4 |  0  0  0  0  2  2  0 |  *  * *  * *  *  *  * 12  * *  * * | 0 0 0 0  1  0 0  0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x    |  0  4 |  0  0  0  0  2  0  2 |  *  * *  * *  *  *  *  * 12 *  * * | 0 0 0 0  0  1 0  0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o ..    |  0  3 |  0  0  0  0  0  3  0 |  *  * *  * *  *  *  *  *  * 8  * * | 0 0 0 0  0  0 1  0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x    |  0  4 |  0  0  0  0  0  2  2 |  *  * *  * *  *  *  *  *  * * 12 * | 0 0 0 0  0  0 0  1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .o3.x    |  0  3 |  0  0  0  0  0  0  3 |  *  * *  * *  *  *  *  *  * *  * 8 | 0 0 0 0  0  0 0  0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------------+------------------------------------+------------------------------+------------
x. x.3o. ..    ♦  6  0 |  3  6  0  0  0  0  0 |  3  0 2  0 0  0  0  0  0  0 0  0 0 | 4 * * *  *  * *  * * * * * * | 1 1 0 0 0 0
x. x. .. x.    ♦  8  0 |  4  4  4  0  0  0  0 |  2  2 0  2 0  0  0  0  0  0 0  0 0 | * 6 * *  *  * *  * * * * * * | 1 0 1 0 0 0
x. .. o.3x.    ♦  6  0 |  3  0  6  0  0  0  0 |  0  3 0  0 2  0  0  0  0  0 0  0 0 | * * 4 *  *  * *  * * * * * * | 1 0 0 1 0 0
.. x.3o.3x.    ♦ 12  0 |  0 12 12  0  0  0  0 |  0  0 4  6 4  0  0  0  0  0 0  0 0 | * * * 2  *  * *  * * * * * * | 1 0 0 0 1 0
xx xx .. ..&#x ♦  4  4 |  2  2  0  4  2  2  0 |  1  0 0  0 0  2  2  0  1  0 0  0 0 | * * * * 12  * *  * * * * * * | 0 1 1 0 0 0
xx .. .. xx&#x ♦  4  4 |  2  0  2  4  2  0  2 |  0  1 0  0 0  2  0  2  0  1 0  0 0 | * * * *  * 12 *  * * * * * * | 0 0 1 1 0 0
.. xx3oo ..&#x ♦  3  3 |  0  3  0  3  0  3  0 |  0  0 1  0 0  0  3  0  0  0 1  0 0 | * * * *  *  * 8  * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦  4  4 |  0  2  2  4  0  2  2 |  0  0 0  1 0  0  2  2  0  0 0  1 0 | * * * *  *  * * 12 * * * * * | 0 0 1 0 1 0
.. .. oo3xx&#x ♦  3  3 |  0  0  3  3  0  0  3 |  0  0 0  0 1  0  0  3  0  0 0  0 1 | * * * *  *  * *  * 8 * * * * | 0 0 0 1 1 0
.x .x3.o ..    ♦  0  6 |  0  0  0  0  3  6  0 |  0  0 0  0 0  0  0  0  3  0 2  0 0 | * * * *  *  * *  * * 4 * * * | 0 1 0 0 0 1
.x .x .. .x    ♦  0  8 |  0  0  0  0  4  4  4 |  0  0 0  0 0  0  0  0  2  2 0  2 0 | * * * *  *  * *  * * * 6 * * | 0 0 1 0 0 1
.x .. .o3.x    ♦  0  6 |  0  0  0  0  3  0  6 |  0  0 0  0 0  0  0  0  0  3 0  0 2 | * * * *  *  * *  * * * * 4 * | 0 0 0 1 0 1
.. .x3.o3.x    ♦  0 12 |  0  0  0  0  0 12 12 |  0  0 0  0 0  0  0  0  0  0 4  6 4 | * * * *  *  * *  * * * * * 2 | 0 0 0 0 1 1
---------------+-------+----------------------+------------------------------------+------------------------------+------------
x. x.3o.3x.    ♦ 24  0 | 12 24 24  0  0  0  0 | 12 12 8 12 8  0  0  0  0  0 0  0 0 | 4 6 4 2  0  0 0  0 0 0 0 0 0 | 1 * * * * *
xx xx3oo ..&#x ♦  6  6 |  3  6  0  6  3  6  0 |  3  0 2  0 0  3  6  0  3  0 2  0 0 | 1 0 0 0  3  0 2  0 0 1 0 0 0 | * 4 * * * *
xx xx .. xx&#x ♦  8  8 |  4  4  4  8  4  4  4 |  2  2 0  2 0  4  4  4  2  2 0  2 0 | 0 1 0 0  2  2 0  2 0 0 1 0 0 | * * 6 * * *
xx .. oo3xx&#x ♦  6  6 |  3  0  6  6  3  0  6 |  0  3 0  0 2  3  0  6  0  3 0  0 2 | 0 0 1 0  0  3 0  0 2 0 0 1 0 | * * * 4 * *
.. xx3oo3xx&#x ♦ 12 12 |  0 12 12 12  0 12 12 |  0  0 4  6 4  0 12 12  0  0 4  6 4 | 0 0 0 1  0  0 4  6 4 0 0 0 1 | * * * * 2 *
.x .x3.o3.x    ♦  0 24 |  0  0  0  0 12 24 24 |  0  0 0  0 0  0  0  0 12 12 8 12 8 | 0 0 0 0  0  0 0  0 0 4 6 4 2 | * * * * * 1
```

```xxo3oxx xxx4ooo&#xt   → all heights = sqrt(2/3) = 0.816497
(tisdip || pseudo shiddip || dual-para tisdip)

...
```