Acronym spiccup Name small-prismatotetracontoctachoron prism,runcinated-icositetrachoron prism Circumradius sqrt(2)+1/2 = 1.914214 Confer general polytopal classes: segmentotera Externallinks

Incidence matrix according to Dynkin symbol

```x x3o4o3x

. . . . . | 288 |   1   4   4 |   4   4   4   8   4 |   4   8   4  1   4   4  1 |  1  4  4  1 1
----------+-----+-------------+---------------------+---------------------------+--------------
x . . . . |   2 | 144   *   * |   4   4   0   0   0 |   4   8   4  0   0   0  0 |  1  4  4  1 0
. x . . . |   2 |   * 576   * |   1   0   2   2   0 |   2   2   0  1   2   1  0 |  1  2  1  0 1
. . . . x |   2 |   *   * 576 |   0   1   0   2   2 |   0   2   2  0   1   2  1 |  0  1  2  1 1
----------+-----+-------------+---------------------+---------------------------+--------------
x x . . . |   4 |   2   2   0 | 288   *   *   *   * |   2   2   0  0   0   0  0 |  1  2  1  0 0
x . . . x |   4 |   2   0   2 |   * 288   *   *   * |   0   2   2  0   0   0  0 |  0  1  2  1 0
. x3o . . |   3 |   0   3   0 |   *   * 384   *   * |   1   0   0  1   1   0  0 |  1  1  0  0 1
. x . . x |   4 |   0   2   2 |   *   *   * 576   * |   0   1   0  0   1   1  0 |  0  1  1  0 1
. . . o3x |   3 |   0   0   3 |   *   *   *   * 384 |   0   0   1  0   0   1  1 |  0  0  1  1 1
----------+-----+-------------+---------------------+---------------------------+--------------
x x3o . . ♦   6 |   3   6   0 |   3   0   2   0   0 | 192   *   *  *   *   *  * |  1  1  0  0 0
x x . . x ♦   8 |   4   4   4 |   2   2   0   2   0 |   * 288   *  *   *   *  * |  0  1  1  0 0
x . . o3x ♦   6 |   3   0   6 |   0   3   0   0   2 |   *   * 192  *   *   *  * |  0  0  1  1 0
. x3o4o . ♦   6 |   0  12   0 |   0   0   8   0   0 |   *   *   * 48   *   *  * |  1  0  0  0 1
. x3o . x ♦   6 |   0   6   3 |   0   0   2   3   0 |   *   *   *  * 192   *  * |  0  1  0  0 1
. x . o3x ♦   6 |   0   3   6 |   0   0   0   3   2 |   *   *   *  *   * 192  * |  0  0  1  0 1
. . o4o3x ♦   6 |   0   0  12 |   0   0   0   0   8 |   *   *   *  *   *   * 48 |  0  0  0  1 1
----------+-----+-------------+---------------------+---------------------------+--------------
x x3o4o . ♦  12 |   6  24   0 |  12   0  16   0   0 |   8   0   0  2   0   0  0 | 24  *  *  * *
x x3o . x ♦  12 |   6  12   6 |   6   3   4   6   0 |   2   3   0  0   2   0  0 |  * 96  *  * *
x x . o3x ♦  12 |   6   6  12 |   3   6   0   6   4 |   0   3   2  0   0   2  0 |  *  * 96  * *
x . o4o3x ♦  12 |   6   0  24 |   0  12   0   0  16 |   0   0   8  0   0   0  2 |  *  *  * 24 *
. x3o4o3x ♦ 144 |   0 288 288 |   0   0 192 288 192 |   0   0   0 24  96  96 24 |  *  *  *  * 2
```
```or
. . . . .    | 288 |   1    8 |   8   8   8 |   8   8  2   8 |  2   8 1
-------------+-----+----------+-------------+----------------+---------
x . . . .    |   2 | 144    * |   8   0   0 |   8   8  0   0 |  2   8 0
. x . . .  & |   2 |   * 1152 |   1   2   2 |   2   2  2   3 |  1   3 1
-------------+-----+----------+-------------+----------------+---------
x x . . .  & |   4 |   2    2 | 576   *   * |   2   2  0   0 |  1   3 0
. x3o . .  & |   3 |   0    3 |   * 768   * |   1   0  1   1 |  1   1 1
. x . . x    |   4 |   0    4 |   *   * 576 |   0   1  0   2 |  0   2 1
-------------+-----+----------+-------------+----------------+---------
x x3o . .  & ♦   6 |   3    6 |   3   2   0 | 384   *  *   * |  1   1 0
x x . . x    ♦   8 |   4    8 |   4   0   2 |   * 288  *   * |  0   2 0
. x3o4o .  & ♦   6 |   0   12 |   0   8   0 |   *   * 96   * |  1   0 1
. x3o . x  & ♦   6 |   0    9 |   0   2   3 |   *   *  * 384 |  0   1 1
-------------+-----+----------+-------------+----------------+---------
x x3o4o .  & ♦  12 |   6   24 |  12  16   0 |   8   0  2   0 | 48   * *
x x3o . x  & ♦  12 |   6   18 |   9   4   6 |   2   3  0   2 |  * 192 *
. x3o4o3x    ♦ 144 |   0  576 |   0 384 288 |   0   0 48 192 |  *   * 2
```

```xx3oo4oo3xx&#x   → height = 1

o.3o.4o.3o.    | 144   * |   4   4   1   0   0 |   4   8   4   4   4   0   0   0 |  1  4  4  1   4   8   4  0  0  0  0 | 1  1  4  4  1 0
.o3.o4.o3.o    |   * 144 |   0   0   1   4   4 |   0   0   0   4   4   4   8   4 |  0  0  0  0   4   8   4  1  4  4  1 | 0  1  4  4  1 1
---------------+---------+---------------------+---------------------------------+-------------------------------------+----------------
x. .. .. ..    |   2   0 | 288   *   *   *   * |   2   2   0   1   0   0   0   0 |  1  2  1  0   2   2   0  0  0  0  0 | 1  1  2  1  0 0
.. .. .. x.    |   2   0 |   * 288   *   *   * |   0   2   2   0   1   0   0   0 |  0  1  2  1   0   2   2  0  0  0  0 | 1  0  1  2  1 0
oo3oo4oo3oo&#x |   1   1 |   *   * 144   *   * |   0   0   0   4   4   0   0   0 |  0  0  0  0   4   8   4  0  0  0  0 | 0  1  4  4  1 0
.x .. .. ..    |   0   2 |   *   *   * 288   * |   0   0   0   1   0   2   2   0 |  0  0  0  0   2   2   0  1  2  1  0 | 0  1  2  1  0 1
.. .. .. .x    |   0   2 |   *   *   *   * 288 |   0   0   0   0   1   0   2   2 |  0  0  0  0   0   2   2  0  1  2  1 | 0  0  1  2  1 1
---------------+---------+---------------------+---------------------------------+-------------------------------------+----------------
x.3o. .. ..    |   3   0 |   3   0   0   0   0 | 192   *   *   *   *   *   *   * |  1  1  0  0   1   0   0  0  0  0  0 | 1  1  1  0  0 0
x. .. .. x.    |   4   0 |   2   2   0   0   0 |   * 288   *   *   *   *   *   * |  0  1  1  0   0   1   0  0  0  0  0 | 1  0  1  1  0 0
.. .. o.3x.    |   3   0 |   0   3   0   0   0 |   *   * 192   *   *   *   *   * |  0  0  1  1   0   0   1  0  0  0  0 | 1  0  0  1  1 0
xx .. .. ..&#x |   2   2 |   1   0   2   1   0 |   *   *   * 288   *   *   *   * |  0  0  0  0   2   2   0  0  0  0  0 | 0  1  2  1  0 0
.. .. .. xx&#x |   2   2 |   0   1   2   0   1 |   *   *   *   * 288   *   *   * |  0  0  0  0   0   2   2  0  0  0  0 | 0  0  1  2  1 0
.x3.o .. ..    |   0   3 |   0   0   0   3   0 |   *   *   *   *   * 192   *   * |  0  0  0  0   1   0   0  1  1  0  0 | 0  1  1  0  0 1
.x .. .. .x    |   0   4 |   0   0   0   2   2 |   *   *   *   *   *   * 288   * |  0  0  0  0   0   1   0  0  1  1  0 | 0  0  1  1  0 1
.. .. .o3.x    |   0   3 |   0   0   0   0   3 |   *   *   *   *   *   *   * 192 |  0  0  0  0   0   0   1  0  0  1  1 | 0  0  0  1  1 1
---------------+---------+---------------------+---------------------------------+-------------------------------------+----------------
x.3o.4o. ..    ♦   6   0 |  12   0   0   0   0 |   8   0   0   0   0   0   0   0 | 24  *  *  *   *   *   *  *  *  *  * | 1  1  0  0  0 0
x.3o. .. x.    ♦   6   0 |   6   3   0   0   0 |   2   3   0   0   0   0   0   0 |  * 96  *  *   *   *   *  *  *  *  * | 1  0  1  0  0 0
x. .. o.3x.    ♦   6   0 |   3   6   0   0   0 |   0   3   2   0   0   0   0   0 |  *  * 96  *   *   *   *  *  *  *  * | 1  0  0  1  0 0
.. o.4o.3x.    ♦   6   0 |   0  12   0   0   0 |   0   0   8   0   0   0   0   0 |  *  *  * 24   *   *   *  *  *  *  * | 1  0  0  0  1 0
xx3oo .. ..&#x ♦   3   3 |   3   0   3   3   0 |   1   0   0   3   0   1   0   0 |  *  *  *  * 192   *   *  *  *  *  * | 0  1  1  0  0 0
xx .. .. xx&#x ♦   4   4 |   2   2   4   2   2 |   0   1   0   2   2   0   1   0 |  *  *  *  *   * 288   *  *  *  *  * | 0  0  1  1  0 0
.. .. oo3xx&#x ♦   3   3 |   0   3   3   0   3 |   0   0   1   0   3   0   0   1 |  *  *  *  *   *   * 192  *  *  *  * | 0  0  0  1  1 0
.x3.o4.o ..    ♦   0   6 |   0   0   0  12   0 |   0   0   0   0   0   8   0   0 |  *  *  *  *   *   *   * 24  *  *  * | 0  1  0  0  0 1
.x3.o .. .x    ♦   0   6 |   0   0   0   6   3 |   0   0   0   0   0   2   3   0 |  *  *  *  *   *   *   *  * 96  *  * | 0  0  1  0  0 1
.x .. .o3.x    ♦   0   6 |   0   0   0   3   6 |   0   0   0   0   0   0   3   2 |  *  *  *  *   *   *   *  *  * 96  * | 0  0  0  1  0 1
.. .o4.o3.x    ♦   0   6 |   0   0   0   0  12 |   0   0   0   0   0   0   0   8 |  *  *  *  *   *   *   *  *  *  * 24 | 0  0  0  0  1 1
---------------+---------+---------------------+---------------------------------+-------------------------------------+----------------
x.3o.4o.3x.    ♦ 144   0 | 288 288   0   0   0 | 192 288 192   0   0   0   0   0 | 24 96 96 24   0   0   0  0  0  0  0 | 1  *  *  *  * *
xx3oo4oo ..&#x ♦   6   6 |  12   0   6  12   0 |   8   0   0  12   0   8   0   0 |  1  0  0  0   8   0   0  1  0  0  0 | * 24  *  *  * *
xx3oo .. xx&#x ♦   6   6 |   6   3   6   6   3 |   2   3   0   6   3   2   3   0 |  0  1  0  0   2   3   0  0  1  0  0 | *  * 96  *  * *
xx .. oo3xx&#x ♦   6   6 |   3   6   6   3   6 |   0   3   2   3   6   0   3   2 |  0  0  1  0   0   3   2  0  0  1  0 | *  *  * 96  * *
.. oo4oo3xx&#x ♦   6   6 |   0  12   6   0  12 |   0   0   8   0  12   0   0   8 |  0  0  0  1   0   0   8  0  0  0  1 | *  *  *  * 24 *
.x3.o4.o3.x    ♦   0 144 |   0   0   0 288 288 |   0   0   0   0   0 192 288 192 |  0  0  0  0   0   0   0 24 96 96 24 | *  *  *  *  * 1
```
```or
o.3o.4o.3o.       | 144   * |   8   1   0 |   8   8   8   0   0 |  2   4   8   8  0   0 | 1  2   8 0
.o3.o4.o3.o       |   * 144 |   0   1   8 |   0   0   8   8   8 |  0   0   8   8  2   4 | 0  2   8 1
------------------+---------+-------------+---------------------+-----------------------+-----------
x. .. .. ..     & |   2   0 | 576   *   * |   2   2   1   0   0 |  1   3   2   2  0   0 | 1  1   3 0
oo3oo4oo3oo&#x    |   1   1 |   * 144   * |   0   0   8   0   0 |  0   0   8   8  0   0 | 0  2   8 0
.x .. .. ..     & |   0   2 |   *   * 576 |   0   0   1   2   2 |  0   0   2   2  1   3 | 0  1   3 1
------------------+---------+-------------+---------------------+-----------------------+-----------
x.3o. .. ..     & |   3   0 |   3   0   0 | 384   *   *   *   * |  1   1   1   0  0   0 | 1  1   1 0
x. .. .. x.       |   4   0 |   4   0   0 |   * 288   *   *   * |  0   2   0   1  0   0 | 1  0   2 0
xx .. .. ..&#x  & |   2   2 |   1   2   1 |   *   * 576   *   * |  0   0   2   2  0   0 | 0  1   3 0
.x3.o .. ..     & |   0   3 |   0   0   3 |   *   *   * 384   * |  0   0   1   0  1   1 | 0  1   1 1
.x .. .. .x       |   0   4 |   0   0   4 |   *   *   *   * 288 |  0   0   0   1  0   2 | 0  0   2 1
------------------+---------+-------------+---------------------+-----------------------+-----------
x.3o.4o. ..     & ♦   6   0 |  12   0   0 |   8   0   0   0   0 | 48   *   *   *  *   * | 1  1   0 0
x.3o. .. x.     & ♦   6   0 |   9   0   0 |   2   3   0   0   0 |  * 192   *   *  *   * | 1  0   1 0
xx3oo .. ..&#x  & ♦   3   3 |   3   3   3 |   1   0   3   1   0 |  *   * 384   *  *   * | 0  1   1 0
xx .. .. xx&#x    ♦   4   4 |   4   4   4 |   0   1   4   0   1 |  *   *   * 288  *   * | 0  0   2 0
.x3.o4.o ..     & ♦   0   6 |   0   0  12 |   0   0   0   8   0 |  *   *   *   * 48   * | 0  1   0 1
.x3.o .. .x     & ♦   0   6 |   0   0   9 |   0   0   0   2   3 |  *   *   *   *  * 192 | 0  0   1 1
------------------+---------+-------------+---------------------+-----------------------+-----------
x.3o.4o.3x.       ♦ 144   0 | 576   0   0 | 384 288   0   0   0 | 48 192   0   0  0   0 | 1  *   * *
xx3oo4oo ..&#x  & ♦   6   6 |  12   6  12 |   8   0  12   8   0 |  1   0   8   0  1   0 | * 48   * *
xx3oo .. xx&#x  & ♦   6   6 |   9   6   9 |   2   3   9   2   3 |  0   1   2   3  0   1 | *  * 192 *
.x3.o4.o3.x       ♦   0 144 |   0   0 576 |   0   0   0 384 288 |  0   0   0   0 48 192 | *  *   * 1
```