Acronym prahip (old: prahipe) Name prismatorhombated-hexacosachoron prism,runcitruncated-hexacosachoron prism Circumradius sqrt[141+60 sqrt(5)]/2 = 8.294035 Dihedral angles at hip between shiddip and tuttip:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756° at cube between shiddip and squipdip:   arccos(-sqrt[(10+2 sqrt(5))/15]) = 169.187683° at pip between squipdip and sriddip:   162° at cube between shiddip and sriddip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843° at trip between sriddip and tuttip:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at hip between prahi and shiddip:   90° at pip between prahi and squipdip:   90° at srid between prahi and sriddip:   90° at tut between prahi and tuttip:   90° Confer general polytopal classes: segmentotera Externallinks

Incidence matrix according to Dynkin symbol

```x x3x3o5x

. . . . . | 14400 |    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 | 7200    *     *     * |    1    2    2    0    0    0    0    0 |    2    2    1    2    1    0    0    0   0 |   1    2   1   1 0
. x . . . |     2 |    * 7200     *     * |    1    0    0    2    2    0    0    0 |    2    2    0    0    0    1    2    1   0 |   1    2   1   0 1
. . x . . |     2 |    *    * 14400     * |    0    1    0    1    0    1    1    0 |    1    0    1    1    0    1    1    0   1 |   1    1   0   1 1
. . . . x |     2 |    *    *     * 14400 |    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 | 3600    *    *    *    *    *    *    * |    2    2    0    0    0    0    0    0   0 |   1    2   1   0 0
x . x . . |     4 |    2    0     2     0 |    * 7200    *    *    *    *    *    * |    1    0    1    1    0    0    0    0   0 |   1    1   0   1 0
x . . . x |     4 |    2    0     0     2 |    *    * 7200    *    *    *    *    * |    0    1    0    1    1    0    0    0   0 |   0    1   1   1 0
. x3x . . |     6 |    0    3     3     0 |    *    *    * 4800    *    *    *    * |    1    0    0    0    0    1    1    0   0 |   1    1   0   0 1
. x . . x |     4 |    0    2     0     2 |    *    *    *    * 7200    *    *    * |    0    1    0    0    0    0    1    1   0 |   0    1   1   0 1
. . x3o . |     3 |    0    0     3     0 |    *    *    *    *    * 4800    *    * |    0    0    1    0    0    1    0    0   1 |   1    0   0   1 1
. . x . x |     4 |    0    0     2     2 |    *    *    *    *    *    * 7200    * |    0    0    0    1    0    0    1    0   1 |   0    1   0   1 1
. . . o5x |     5 |    0    0     0     5 |    *    *    *    *    *    *    * 2880 |    0    0    0    0    1    0    0    1   1 |   0    0   1   1 1
----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+-------------------
x x3x . . ♦    12 |    6    6     6     0 |    3    3    0    2    0    0    0    0 | 2400    *    *    *    *    *    *    *   * |   1    1   0   0 0
x x . . x ♦     8 |    4    4     0     4 |    2    0    2    0    2    0    0    0 |    * 3600    *    *    *    *    *    *   * |   0    1   1   0 0
x . x3o . ♦     6 |    3    0     6     0 |    0    3    0    0    0    2    0    0 |    *    * 2400    *    *    *    *    *   * |   1    0   0   1 0
x . x . x ♦     8 |    4    0     4     4 |    0    2    2    0    0    0    2    0 |    *    *    * 3600    *    *    *    *   * |   0    1   0   1 0
x . . o5x ♦    10 |    5    0     0    10 |    0    0    5    0    0    0    0    2 |    *    *    *    * 1440    *    *    *   * |   0    0   1   1 0
. x3x3o . ♦    12 |    0    6    12     0 |    0    0    0    4    0    4    0    0 |    *    *    *    *    * 1200    *    *   * |   1    0   0   0 1
. x3x . x ♦    12 |    0    6     6     6 |    0    0    0    2    3    0    3    0 |    *    *    *    *    *    * 2400    *   * |   0    1   0   0 1
. x . o5x ♦    10 |    0    5     0    10 |    0    0    0    0    5    0    0    2 |    *    *    *    *    *    *    * 1440   * |   0    0   1   0 1
. . x3o5x ♦    60 |    0    0    60    60 |    0    0    0    0    0   20   30   12 |    *    *    *    *    *    *    *    * 240 |   0    0   0   1 1
----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+-------------------
x x3x3o . ♦    24 |   12   12    24     0 |    6   12    0    8    0    8    0    0 |    4    0    4    0    0    2    0    0   0 | 600    *   *   * *
x x3x . x ♦    24 |   12   12    12    12 |    6    6    6    4    6    0    6    0 |    2    3    0    3    0    0    2    0   0 |   * 1200   *   * *
x x . o5x ♦    20 |   10   10     0    20 |    5    0   10    0   10    0    0    4 |    0    5    0    0    2    0    0    2   0 |   *    * 720   * *
x . x3o5x ♦   120 |   60    0   120   120 |    0   60   60    0    0   40   60   24 |    0    0   20   30   12    0    0    0   2 |   *    *   * 120 *
. x3x3o5x ♦  7200 |    0 3600  7200  7200 |    0    0    0 2400 3600 2400 3600 1440 |    0    0    0    0    0  600 1200  720 120 |   *    *   *   * 2
```

```xx3xx3oo5xx&#x   → height = 1
(prahi || prahi)

o.3o.3o.5o.    | 7200    * |    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
.o3.o3.o5.o    |    * 7200 |    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 | 3600    *    *    *    *    *    * |    1    1    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 |    * 7200    *    *    *    *    * |    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 |    *    * 7200    *    *    *    * |    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
oo3oo3oo5oo&#x |    1    1 |    *    *    * 7200    *    *    * |    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 |    *    *    *    * 3600    *    * |    0    0    0    0    0    1    0    0    1    1    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 |    *    *    *    *    * 7200    * |    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 |    *    *    *    *    *    * 7200 |    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.3x. .. ..    |    6    0 |    3    3    0    0    0    0    0 | 2400    *    *    *    *    *    *    *    *    *    *    *    * |   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 |    * 3600    *    *    *    *    *    *    *    *    *    *    * |   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 |    *    * 2400    *    *    *    *    *    *    *    *    *    * |   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 |    *    *    * 3600    *    *    *    *    *    *    *    *    * |   0    1   0   1    0    0    0    1    0   0    0   0   0 | 1   0    1   0   1 0
.. .. o.5x.    |    5    0 |    0    0    5    0    0    0    0 |    *    *    *    * 1440    *    *    *    *    *    *    *    * |   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 |    *    *    *    *    * 3600    *    *    *    *    *    *    * |   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 |    *    *    *    *    *    * 7200    *    *    *    *    *    * |   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 |    *    *    *    *    *    *    * 7200    *    *    *    *    * |   0    0   0   0    0    1    0    1    1   0    0   0   0 | 0   0    1   1   1 0
.x3.x .. ..    |    0    6 |    0    0    0    0    3    3    0 |    *    *    *    *    *    *    *    * 2400    *    *    *    * |   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 |    *    *    *    *    *    *    *    *    * 3600    *    *    * |   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 |    *    *    *    *    *    *    *    *    *    * 2400    *    * |   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 |    *    *    *    *    *    *    *    *    *    *    * 3600    * |   0    0   0   0    0    0    0    1    0   0    1   0   1 | 0   0    1   0   1 1
.. .. .o5.x    |    0    5 |    0    0    0    0    0    0    5 |    *    *    *    *    *    *    *    *    *    *    *    * 1440 |   0    0   0   0    0    0    0    0    1   0    0   1   1 | 0   0    0   1   1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3o. ..    ♦   12    0 |    6   12    0    0    0    0    0 |    4    0    4    0    0    0    0    0    0    0    0    0    0 | 600    *   *   *    *    *    *    *    *   *    *   *   * | 1   1    0   0   0 0
x.3x. .. x.    ♦   12    0 |    6    6    6    0    0    0    0 |    2    3    0    3    0    0    0    0    0    0    0    0    0 |   * 1200   *   *    *    *    *    *    *   *    *   *   * | 1   0    1   0   0 0
x. .. o.5x.    ♦   10    0 |    5    0   10    0    0    0    0 |    0    5    0    0    2    0    0    0    0    0    0    0    0 |   *    * 720   *    *    *    *    *    *   *    *   *   * | 1   0    0   1   0 0
.. x.3o.5x.    ♦   60    0 |    0   60   60    0    0    0    0 |    0    0   20   30   12    0    0    0    0    0    0    0    0 |   *    *   * 120    *    *    *    *    *   *    *   *   * | 1   0    0   0   1 0
xx3xx .. ..&#x ♦    6    6 |    3    3    0    6    3    3    0 |    1    0    0    0    0    3    3    0    1    0    0    0    0 |   *    *   *   * 2400    *    *    *    *   *    *   *   * | 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 |   *    *   *   *    * 3600    *    *    *   *    *   *   * | 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 |   *    *   *   *    *    * 2400    *    *   *    *   *   * | 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 |   *    *   *   *    *    *    * 3600    *   *    *   *   * | 0   0    1   0   1 0
.. .. oo5xx&#x ♦    5    5 |    0    0    5    5    0    0    5 |    0    0    0    0    1    0    0    5    0    0    0    0    1 |   *    *   *   *    *    *    *    * 1440   *    *   *   * | 0   0    0   1   1 0
.x3.x3.o ..    ♦    0   12 |    0    0    0    0    6   12    0 |    0    0    0    0    0    0    0    0    4    0    4    0    0 |   *    *   *   *    *    *    *    *    * 600    *   *   * | 0   1    0   0   0 1
.x3.x .. .x    ♦    0   12 |    0    0    0    0    6    6    6 |    0    0    0    0    0    0    0    0    2    3    0    3    0 |   *    *   *   *    *    *    *    *    *   * 1200   *   * | 0   0    1   0   0 1
.x .. .o5.x    ♦    0   10 |    0    0    0    0    5    0   10 |    0    0    0    0    0    0    0    0    0    5    0    0    2 |   *    *   *   *    *    *    *    *    *   *    * 720   * | 0   0    0   1   0 1
.. .x3.o5.x    ♦    0   60 |    0    0    0    0    0   60   60 |    0    0    0    0    0    0    0    0    0    0   20   30   12 |   *    *   *   *    *    *    *    *    *   *    *   * 120 | 0   0    0   0   1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3o.5x.    ♦ 7200    0 | 3600 7200 7200    0    0    0    0 | 2400 3600 2400 3600 1440    0    0    0    0    0    0    0    0 | 600 1200 720 120    0    0    0    0    0   0    0   0   0 | 1   *    *   *   * *
xx3xx3oo ..&#x ♦   12   12 |    6   12    0   12    6   12    0 |    4    0    4    0    0    6   12    0    4    0    4    0    0 |   1    0   0   0    4    0    4    0    0   1    0   0   0 | * 600    *   *   * *
xx3xx .. xx&#x ♦   12   12 |    6    6    6   12    6    6    6 |    2    3    0    3    0    6    6    6    2    3    0    3    0 |   0    1   0   0    2    3    0    3    0   0    1   0   0 | *   * 1200   *   * *
xx .. oo5xx&#x ♦   10   10 |    5    0   10   10    5    0   10 |    0    5    0    0    2    5    0   10    0    5    0    0    2 |   0    0   1   0    0    5    0    0    2   0    0   1   0 | *   *    * 720   * *
.. xx3oo5xx&#x ♦   60   60 |    0   60   60   60    0   60   60 |    0    0   20   30   12    0   60   60    0    0   20   30   12 |   0    0   0   1    0    0   20   30   12   0    0   0   1 | *   *    *   * 120 *
.x3.x3.o5.x    ♦    0 7200 |    0    0    0    0 3600 7200 7200 |    0    0    0    0    0    0    0    0 2400 3600 2400 3600 1440 |   0    0   0   0    0    0    0    0    0 600 1200 720 120 | *   *    *   *   * 1
```