Acronym jakap
Name jaka prism,
jakip alterprism
Circumradius 1
Lace city
in approx. ASCII-art
J     J
j     j

where:
j = x3o3o3o3o *c3o (jak)
J = o3o3o3o3x *c3o (alternate jak)
Face vector 108, 1458, 7902, 20880, 28512, 19548, 5926, 562
Confer
uniform relative:
fy  
general polytopal classes:
alterfastegia   segmentozetta   scaliform  

Incidence matrix according to Dynkin symbol

xx xo3oo3oo3oo3ox *d3oo&#x   → height = 1/sqrt(3) = 0.577350
(jakip || alt. jakip)

o. o.3o.3o.3o.3o. *d3o.    & | 108 |  1  16  10 |  16   80  10  120 |   80  160  120  320  160 |  160   80  40  320  160  400  400 |  80  40  16  10  400  400   96  240   96   80 |  16 10 1  96  240  96  80  16  11  56 | 1 16 11  56 1
-----------------------------+-----+------------+-------------------+--------------------------+-----------------------------------+-----------------------------------------------+---------------------------------------+--------------
x. .. .. .. .. ..    ..    & |   2 | 54   *   * |  16    0  10    0 |   80    0  120    0    0 |  160    0   0  320  160    0    0 |  80  40   0   0  400  400    0    0    0    0 |  16 10 0  96  240  96  80   0   0   0 | 1 16 11  56 0
.. x. .. .. .. ..    ..    & |   2 |  * 864   * |   1   10   0    5 |   10   30    5   30   10 |   30   20  10   30   10   60   40 |  20  10   5   5   60   40   20   35   20   10 |   5  5 5  20   35  20  10   5   5  11 | 1  5  5  11 1
oo oo3oo3oo3oo3oo *d3oo&#x   |   2 |  *   * 540 |   0    0   1   16 |    0    0   16   48   32 |    0    0   0   48   32   64   96 |   0   0   0   0   64   96   16   64   16   24 |   0  0 0  16   64  16  24   8   2  16 | 0  8  2  16 1
-----------------------------+-----+------------+-------------------+--------------------------+-----------------------------------+-----------------------------------------------+---------------------------------------+--------------
x. x. .. .. .. ..    ..    & |   4 |  2   2   0 | 432    *   *    * |   10    0    5    0    0 |   30    0   0   30   10    0    0 |  20  10   0   0   60   40    0    0    0    0 |   5  6 0  20   35  20  10   0   0   0 | 1  5  5  11 0
.. x.3o. .. .. ..    ..    & |   3 |  0   3   0 |   * 2880   *    * |    1    6    0    3    0 |    6    6   3    3    0   12    3 |   6   3   2   3   12    3    6    6    6    1 |   2  3 1   6    6   6   1   2   3   3 | 1  2  3   3 1
xx .. .. .. .. ..    ..&#x   |   4 |  2   0   2 |   *    * 270    * |    0    0   16    0    0 |    0    0   0   48   32    0    0 |   0   0   0   0   64   96    0    0    0    0 |   0  0 0  16   64  16  24   0   0   0 | 0  8  2  16 0
.. xo .. .. .. ..    ..&#x & |   3 |  0   1   2 |   *    *   * 4320 |    0    0    1    6    4 |    0    0   0    6    4   12   18 |   0   0   0   0   12   18    4   16    4    6 |   0  0 0   4   16   4   6   4   1   5 | 0  4  1   5 1
-----------------------------+-----+------------+-------------------+--------------------------+-----------------------------------+-----------------------------------------------+---------------------------------------+--------------
x. x.3o. .. .. ..    ..    &    6 |  3   6   0 |   3    2   0    0 | 1440    *    *    *    * |    6    0   0    3    0    0    0 |   6   3   0   0   12    3    0    0    0    0 |   2  3 0   6    6   6   1   0   0   0 | 1  2  3   3 0
.. x.3o.3o. .. ..    ..    &    4 |  0   6   0 |   0    4   0    0 |    * 4320    *    *    * |    1    2   1    0    0    2    0 |   2   1   1   2    2    0    2    1    2    0 |   1  2 1   2    1   2   0   1   2   1 | 1  1  2   1 1
xx xo .. .. .. ..    ..&#x &    6 |  3   2   4 |   1    0   2    2 |    *    * 2160    *    * |    0    0   0    6    4    0    0 |   0   0   0   0   12   18    0    0    0    0 |   0  0 0   4   16   4   6   0   0   0 | 0  4  1   2 0
.. xo3oo .. .. ..    ..&#x &    4 |  0   3   3 |   0    1   0    3 |    *    *    * 8640    * |    0    0   0    1    0    4    2 |   0   0   0   0    4    2    2    4    2    1 |   0  0 0   2    4   2   1   2   1   2 | 0  2  1   2 1
.. xo .. .. .. ox    ..&#x      4 |  0   2   4 |   0    0   0    4 |    *    *    *    * 4320 |    0    0   0    0    1    0    6 |   0   0   0   0    0    6    0    6    0    3 |   0  0 0   0    6   0   3   3   0   2 | 0  3  0   2 1
-----------------------------+-----+------------+-------------------+--------------------------+-----------------------------------+-----------------------------------------------+---------------------------------------+--------------
x. x.3o.3o. .. ..    ..    &    8 |  4  12   0 |   6    8   0    0 |    4    2    0    0    0 | 2160    *   *    *    *    *    * |   2   1   0   0    2    0    0    0    0    0 |   1  2 0   2    1   2   0   0   0   0 | 1  1  2   1 0
.. x.3o.3o.3o. ..    ..    &    5 |  0  10   0 |   0   10   0    0 |    0    5    0    0    0 |    * 1728   *    *    *    *    * |   1   0   1   1    0    0    1    0    0    0 |   1  1 1   1    0   0   0   1   1   0 | 1  1  1   0 1
.. x.3o.3o. .. .. *d3o.    &    5 |  0  10   0 |   0   10   0    0 |    0    5    0    0    0 |    *    * 864    *    *    *    * |   0   1   0   2    0    0    0    0    2    0 |   0  2 1   0    0   2   0   0   2   1 | 1  0  2   1 1
xx xo3oo .. .. ..    ..&#x &    8 |  4   6   6 |   3    2   3    6 |    1    0    3    2    0 |    *    *   * 4320    *    *    * |   0   0   0   0    4    2    0    0    0    0 |   0  0 0   2    4   2   1   0   0   0 | 0  2  1   2 0
xx xo .. .. .. ox    ..&#x      8 |  4   4   8 |   2    0   4    8 |    0    0    4    0    2 |    *    *   *    * 2160    *    * |   0   0   0   0    0    6    0    0    0    0 |   0  0 0   0    6   0   3   0   0   0 | 0  3  0   2 0
.. xo3oo3oo .. ..    ..&#x &    5 |  0   6   4 |   0    4   0    6 |    0    1    0    4    0 |    *    *   *    *    * 8640    * |   0   0   0   0    1    0    1    1    1    0 |   0  0 0   1    1   1   0   1   1   1 | 0  1  1   1 1
.. xo3oo .. .. ox    ..&#x &    5 |  0   4   6 |   0    1   0    9 |    0    0    0    2    3 |    *    *   *    *    *    * 8640 |   0   0   0   0    0    1    0    2    0    1 |   0  0 0   0    2   0   1   2   0   1 | 0  2  0   1 1
-----------------------------+-----+------------+-------------------+--------------------------+-----------------------------------+-----------------------------------------------+---------------------------------------+--------------
x. x.3o.3o.3o. ..    ..    &   10 |  5  20   0 |  10   20   0    0 |   10   10    0    0    0 |    5    2   0    0    0    0    0 | 864   *   *   *    *    *    *    *    *    * |   1  1 0   1    0   0   0   0   0   0 | 1  1  1   0 0
x. x.3o.3o. .. .. *d3o.    &   10 |  5  20   0 |  10   20   0    0 |   10   10    0    0    0 |    5    0   2    0    0    0    0 |   * 432   *   *    *    *    *    *    *    * |   0  2 0   0    0   2   0   0   0   0 | 1  0  2   1 0
.. x.3o.3o.3o.3o.    ..    &    6 |  0  15   0 |   0   20   0    0 |    0   15    0    0    0 |    0    6   0    0    0    0    0 |   *   * 288   *    *    *    *    *    *    * |   1  0 1   0    0   0   0   1   0   0 | 1  1  0   0 1
.. x.3o.3o.3o. .. *d3o.    &   10 |  0  40   0 |   0   80   0    0 |    0   80    0    0    0 |    0   16  16    0    0    0    0 |   *   *   * 108    *    *    *    *    *    * |   0  1 1   0    0   0   0   0   1   0 | 1  0  1   0 1
xx xo3oo3oo .. ..    ..&#x &   10 |  5  12   8 |   6    8   4   12 |    4    2    6    8    0 |    1    0   0    4    0    2    0 |   *   *   *   * 4320    *    *    *    *    * |   0  0 0   1    1   1   0   0   0   0 | 0  1  1   1 0
xx xo3oo .. .. ox    ..&#x &   10 |  5   8  12 |   4    2   6   18 |    1    0    9    4    6 |    0    0   0    2    3    0    2 |   *   *   *   *    * 4320    *    *    *    * |   0  0 0   0    2   0   1   0   0   0 | 0  2  0   1 0
.. xo3oo3oo3oo ..    ..&#x &    6 |  0  10   5 |   0   10   0   10 |    0    5    0   10    0 |    0    1   0    0    0    5    0 |   *   *   *   *    *    * 1728    *    *    * |   0  0 0   1    0   0   0   1   1   0 | 0  1  1   0 1
.. xo3oo3oo .. ox    ..&#x &    6 |  0   7   8 |   0    4   0   16 |    0    1    0    8    6 |    0    0   0    0    0    2    4 |   *   *   *   *    *    *    * 4320    *    * |   0  0 0   0    1   0   0   1   0   1 | 0  1  0   1 1
.. xo3oo3oo .. .. *d3oo&#x &    6 |  0  10   5 |   0   10   0   10 |    0    5    0   10    0 |    0    0   1    0    0    5    0 |   *   *   *   *    *    *    *    * 1728    * |   0  0 0   0    0   1   0   0   1   1 | 0  0  1   1 1
.. xo3oo .. oo3ox    ..&#x      6 |  0   6   9 |   0    2   0   18 |    0    0    0    6    9 |    0    0   0    0    0    0    6 |   *   *   *   *    *    *    *    *    * 1440 |   0  0 0   0    0   0   1   2   0   0 | 0  2  0   0 1
-----------------------------+-----+------------+-------------------+--------------------------+-----------------------------------+-----------------------------------------------+---------------------------------------+--------------
x. x.3o.3o.3o.3o.    ..    &   12 |  6  30   0 |  15   40   0    0 |   20   30    0    0    0 |   15   12   0    0    0    0    0 |   6   0   2   0    0    0    0    0    0    0 | 144  * *   *    *   *   *   *   *   * | 1  1  0   0 0
x. x.3o.3o.3o. .. *d3o.    &   20 | 10  80   0 |  48  160   0    0 |   80  160    0    0    0 |   80   32  32    0    0    0    0 |  16  16   0   2    0    0    0    0    0    0 |   * 54 *   *    *   *   *   *   *   * | 1  0  1   0 0
.. x.3o.3o.3o.3o. *d3o.    &   27 |  0 216   0 |   0  720   0    0 |    0 1080    0    0    0 |    0  432 216    0    0    0    0 |   0   0  72  27    0    0    0    0    0    0 |   *  * 4   *    *   *   *   *   *   * | 1  0  0   0 1
xx xo3oo3oo3oo ..    ..&#x &   12 |  6  20  10 |  10   20   5   20 |   10   10   10   20    0 |    5    2   0   10    0   10    0 |   1   0   0   0    5    0    2    0    0    0 |   *  * * 864    *   *   *   *   *   * | 0  1  1   0 0
xx xo3oo3oo .. ox    ..&#x &   12 |  6  14  16 |   7    8   8   32 |    4    2   16   16   12 |    1    0   0    8    6    4    8 |   0   0   0   0    2    4    0    2    0    0 |   *  * *   * 2160   *   *   *   *   * | 0  1  0   1 0
xx xo3oo3oo .. .. *d3oo&#x &   12 |  6  20  10 |  10   20   5   20 |   10   10   10   20    0 |    5    0   2   10    0   10    0 |   0   1   0   0    5    0    0    0    2    0 |   *  * *   *    * 864   *   *   *   * | 0  0  1   1 0
xx xo3oo .. oo3ox    ..&#x     12 |  6  12  18 |   6    4   9   36 |    2    0   18   12   18 |    0    0   0    6    9    0   12 |   0   0   0   0    0    6    0    0    0    2 |   *  * *   *    *   * 720   *   *   * | 0  2  0   0 0
.. xo3oo3oo3oo3ox    ..&#x     12 |  0  30  30 |   0   40   0  120 |    0   30    0  120   90 |    0   12   0    0    0   60  120 |   0   0   2   0    0    0   12   30    0   20 |   *  * *   *    *   *   * 144   *   * | 0  1  0   0 1
.. xo3oo3oo3oo .. *d3oo&#x &   11 |  0  40  10 |   0   80   0   40 |    0   80    0   80    0 |    0   16  16    0    0   80    0 |   0   0   0   1    0    0   16    0   16    0 |   *  * *   *    *   *   *   * 108   * | 0  0  1   0 1
.. xo3oo3oo .. ox *d3oo&#x &    7 |  0  11  10 |   0   10   0   25 |    0    5    0   20   10 |    0    0   1    0    0   10   10 |   0   0   0   0    0    0    0    5    2    0 |   *  * *   *    *   *   *   *   * 864 | 0  0  0   1 1
-----------------------------+-----+------------+-------------------+--------------------------+-----------------------------------+-----------------------------------------------+---------------------------------------+--------------
x. x.3o.3o.3o.3o. *d3o.    &   54 | 27 432   0 | 216 1440   0    0 |  720 2160    0    0    0 | 1080  864 432    0    0    0    0 | 432 216 144  54    0    0    0    0    0    0 |  72 27 2   0    0   0   0   0   0   0 | 2  *  *   * *
xx xo3oo3oo3oo3ox    ..&#x     24 | 12  60  60 |  30   80  30  240 |   40   60  120  240  180 |   30   24   0  120   90  120  240 |  12   0   4   0   60  120   24   60    0   40 |   2  0 0  12   30   0  20   2   0   0 | * 72  *   * *
xx xo3oo3oo3oo .. *d3oo&#x &   22 | 11  80  20 |  40  160  10   80 |   80  160   40  160    0 |   80   32  32   80    0  160    0 |  16  16   0   2   80    0   32    0   32    0 |   0  1 0  16    0  16   0   0   2   0 | *  * 54   * *
xx xo3oo3oo .. ox *d3oo&#x &   14 |  7  22  20 |  11   20  10   50 |   10   10   25   40   20 |    5    0   2   20   10   20   20 |   0   1   0   0   10   10    0   10    4    0 |   0  0 0   0    5   2   0   0   0   2 | *  *  * 432 *
.. xo3oo3oo3oo3ox *d3oo&#x     54 |  0 432 270 |   0 1440   0 2160 |    0 2160    0 4320 2160 |    0  864 432    0    0 4320 4320 |   0   0 144  54    0    0  864 2160  864  720 |   0  0 2   0    0   0   0  72  54 432 | *  *  *   * 2

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