Acronym jakapy (alt.: pabdinaqpy)
Name icosiheptaheptacontidipetic-alterprism pyramid,
parabidimished-hecatonicosihexapentacosiheptacontihexaexon pyramid,
(jak, alt. jak, point)-trigonic
Circumradius 1
Lace city
in approx. ASCII-art
o    	where: o = o3o3o3o3o *c3o (point)
    J	       J = x3o3o3o3o *c3o (jak)
j    	       j = o3o3o3o3x *c3o (alt. jak)
Face vector 55, 756, 4302, 12240, 18576, 14742, 5366, 561
Confer
uniform relative:
fy  
related CRFs:
naqpy  
general polytopal classes:
segmentozetta   lace simplices  

Incidence matrix according to Dynkin symbol

xoo3ooo3ooo3ooo3oxo *c3ooo&#x   → all pw. heights = 1/sqrt(3) = 0.577350
                                  height(12,3) = 1/2

o..3o..3o..3o..3o.. *c3o..    & | 54 *   16  10  1 |   80  120  10  16 |  160  320  160  120   80 |  80  40  400  400  320  160  160 |  16 10  96  240  96  80  400  400  80  40 | 1 16 11  56  96  240  96  80  16 10 | 1 16 11  56 1
..o3..o3..o3..o3..o *c3..o      |  * 1    0   0 54 |    0    0 270 432 |    0    0    0 2160 1440 |   0   0    0    0 4320 2160 2160 |   0  0   0    0   0   0 4320 4320 864 432 | 0  0  0   0 864 2160 864 720 144 54 | 0 72 54 432 2
--------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+--------------
x.. ... ... ... ...    ...    & |  2 0 | 432   *  *    10    5   0   1 |   30   30   10    5   10 |  20  10   60   40   30   10   30 |   5  5  20   35  20  10   60   40  20  10 | 1  5  5  11  20   35  20  10   5  5 | 1  5  5  11 1
oo.3oo.3oo.3oo.3oo. *c3oo.&#x   |  2 0 |   * 270  *     0   16   1   0 |    0   48   32   16    0 |   0   0   64   96   48   32    0 |   0  0  16   64  16  24   64   96   0   0 | 0  8  2  16  16   64  16  24   0  0 | 1  8  2  16 0
o.o3o.o3o.o3o.o3o.o *c3o.o&#x & |  1 1 |   *   * 54     0    0  10  16 |    0    0    0  120   80 |   0   0    0    0  320  160  160 |   0  0   0    0   0   0  400  400  80  40 | 0  0  0   0  96  240  96  80  16 10 | 0 16 11  56 1
--------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+--------------
x..3o.. ... ... ...    ...    & |  3 0 |   3   0  0 | 1440    *   *   * |    6    3    0    0    1 |   6   3   12    3    3    0    6 |   2  3   6    6   6   1   12    3   6   3 | 1  2  3   3   6    6   6   1   2  3 | 1  2  3   3 3
xo. ... ... ... ...    ...&#x & |  3 0 |   1   2  0 |    * 2160   *   *     0    6    4    1    0 |   0   0   12   18    6    4    0 |   0  0   4   16   4   6   12   18   0   0 | 0  4  1   5   4   16   4   6   0  0 | 1  4  1   5 0
ooo3ooo3ooo3ooo3ooo *c3ooo&#x   |  2 1 |   0   1  2 |    *    * 270   *     0    0    0   16    0 |   0   0    0    0   48   32    0 |   0  0   0    0   0   0   64   96   0   0 | 0  0  0   0  16   64  16  24   0  0 | 0  8  2  16 0
x.o ... ... ... ...    ...&#x & |  2 1 |   1   0  2 |    *    *   * 432     0    0    0    5   10 |   0   0    0    0   30   10   30 |   0  0   0    0   0   0   60   40  20  10 | 0  0  0   0  20   35  20  10   5  5 | 0  5  5  11 1
--------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+--------------
x..3o..3o.. ... ...    ...    &   4 0 |   6   0  0 |    4    0   0   0 | 2160    *    *    *    * |   2   1    2    0    0    0    1 |   1  2   2    1   2   0    2    0   2   1 | 1  1  2   1   2    1   2   0   1  2 | 1  1  2   1 1
xo.3oo. ... ... ...    ...&#x &   4 0 |   3   3  0 |    1    3   0   0 |    * 4320    *    *    * |   0   0    4    2    1    0    0 |   0  0   2    4   2   1    4    2   0   0 | 0  2  1   2   2    4   2   1   0  0 | 1  2  1   2 0
xo. ... ... ... ox.    ...&#x     4 0 |   2   4  0 |    0    4   0   0 |    *    * 2160    *    *    0   0    0    6    0    1    0 |   0  0   0    6   0   3    0    6   0   0 | 0  3  0   2   0    6   0   3   0  0 | 1  3  0   2 0
xoo ... ... ... ...    ...&#x &   3 1 |   1   2  3 |    0    1   2   1 |    *    *    * 2160    *    0   0    0    0    6    4    0 |   0  0   0    0   0   0   12   18   0   0 | 0  0  0   0   4   16   4   6   0  0 | 0  4  1   5 0
x.o3o.o ... ... ...    ...&#x &   3 1 |   3   0  3 |    1    0   0   3 |    *    *    *    * 1440    0   0    0    0    3    0    6 |   0  0   0    0   0   0   12    3   6   3 | 0  0  0   0   6    6   6   1   2  3 | 0  2  3   3 1
--------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+--------------
x..3o..3o..3o.. ...    ...    &   5 0 |  10   0  0 |   10    0   0   0 |    5    0    0    0    0 | 864   *    *    *    *    *    * |   1  1   1    0   0   0    0    0   1   0 | 1  1  1   0   1    0   0   0   1  1 | 1  1  1   0 1
x..3o..3o.. ... ... *c3o..    &   5 0 |  10   0  0 |   10    0   0   0 |    5    0    0    0    0 |   * 432    *    *    *    *    * |   0  2   0    0   2   0    0    0   0   1 | 1  0  2   1   0    0   2   0   0  2 | 1  0  2   1 1
xo.3oo.3oo. ... ...    ...&#x &   5 0 |   6   4  0 |    4    6   0   0 |    1    4    0    0    0 |   *   * 4320    *    *    *    * |   0  0   1    1   1   0    1    0   0   0 | 0  1  1   1   1    1   1   0   0  0 | 1  1  1   1 0
xo.3oo. ... ... ox.    ...&#x &   5 0 |   4   6  0 |    1    9   0   0 |    0    2    3    0    0 |   *   *    * 4320    *    *    * |   0  0   0    2   0   1    0    1   0   0 | 0  2  0   1   0    2   0   1   0  0 | 1  2  0   1 0
xoo3ooo ... ... ...    ...&#x &   4 1 |   3   3  4 |    1    3   3   3 |    0    1    0    3    1 |   *   *    *    * 4320    *    * |   0  0   0    0   0   0    4    2   0   0 | 0  0  0   0   2    4   2   1   0  0 | 0  2  1   2 0
xoo ... ... ... oxo    ...&#x &   4 1 |   2   4  4 |    0    4   4   2 |    0    0    1    4    0 |   *   *    *    *    * 2160    *    0  0   0    0   0   0    0    6   0   0 | 0  0  0   0   0    6   0   3   0  0 | 0  3  0   2 0
x.o3o.o3o.o ... ...    ...&#x &   4 1 |   6   0  4 |    4    0   0   6 |    1    0    0    0    4 |   *   *    *    *    *    * 2160 |   0  0   0    0   0   0    2    0   2   1 | 0  0  0   0   2    1   2   0   1  2 | 0  1  2   1 1
--------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+--------------
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    0 | 144  *   *    *   *   *    *    *   *   * | 1  1  0   0   0    0   0   0   1  0 | 1  1  0   0 1
x..3o..3o..3o.. ... *c3o..    &  10 0 |  40   0  0 |   80    0   0   0 |   80    0    0    0    0 |  16  16    0    0    0    0    0 |   * 54   *    *   *   *    *    *   *   * | 1  0  1   0   0    0   0   0   0  1 | 1  0  1   0 1
xo.3oo.3oo.3oo. ...    ...&#x &   6 0 |  10   5  0 |   10   10   0   0 |    5   10    0    0    0 |   1   0    5    0    0    0    0 |   *  * 864    *   *   *    *    *   *   * | 0  1  1   0   1    0   0   0   0  0 | 1  1  1   0 0
xo.3oo.3oo. ... ox.    ...&#x &   6 0 |   7   8  0 |    4   16   0   0 |    1    8    6    0    0 |   0   0    2    4    0    0    0 |   *  *   * 2160   *   *    *    *   *   * | 0  1  0   1   0    1   0   0   0  0 | 1  1  0   1 0
xo.3oo.3oo. ... ... *c3oo.&#x &   6 0 |  10   5  0 |   10   10   0   0 |    5   10    0    0    0 |   0   1    5    0    0    0    0 |   *  *   *    * 864   *    *    *   *   * | 0  0  1   1   0    0   1   0   0  0 | 1  0  1   1 0
xo.3oo. ... oo.3ox.    ...&#x     6 0 |   6   9  0 |    2   18   0   0 |    0    6    9    0    0 |   0   0    0    6    0    0    0 |   *  *   *    *   * 720    *    *   *   * | 0  2  0   0   0    0   0   1   0  0 | 1  2  0   0 0
xoo3ooo3ooo ... ...    ...&#x &   5 1 |   6   4  5 |    4    6   4   6 |    1    4    0    6    4 |   0   0    1    0    4    0    1 |   *  *   *    *   *   * 4320    *   *   * | 0  0  0   0   1    1   1   0   0  0 | 0  1  1   1 0
xoo3ooo ... ... oxo    ...&#x &   5 1 |   4   6  5 |    1    9   6   4 |    0    2    3    9    1 |   0   0    0    1    2    3    0 |   *  *   *    *   *   *    * 4320   *   * | 0  0  0   0   0    2   0   1   0  0 | 0  2  0   1 0
x.o3o.o3o.o3o.o ...    ...&#x &   5 1 |  10   0  5 |   10    0   0  10 |    5    0    0    0   10 |   1   0    0    0    0    0    5 |   *  *   *    *   *   *    *    * 864   * | 0  0  0   0   1    0   0   0   1  1 | 0  1  1   0 1
x.o3o.o3o.o ... ... *c3o.o&#x &   5 1 |  10   0  5 |   10    0   0  10 |    5    0    0    0   10 |   0   1    0    0    0    0    5 |   *  *   *    *   *   *    *    *   * 432 | 0  0  0   0   0    0   2   0   0  2 | 0  0  2   1 1
--------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+--------------
x..3o..3o..3o..3o.. *c3o..    &  27 0 | 216   0  0 |  720    0   0   0 | 1080    0    0    0    0 | 432 216    0    0    0    0    0 |  72 27   0    0   0   0    0    0   0   0 | 2  *  *   *   *    *   *   *   *  * | 1  0  0   0 1
xo.3oo.3oo.3oo.3ox.    ...&#x    12 0 |  30  30  0 |   40  120   0   0 |   30  120   90    0    0 |  12   0   60  120    0    0    0 |   2  0  12   30   0  20    0    0   0   0 | * 72  *   *   *    *   *   *   *  * | 1  1  0   0 0
xo.3oo.3oo.3oo. ... *c3oo.&#x &  11 0 |  40  10  0 |   80   40   0   0 |   80   80    0    0    0 |  16  16   80    0    0    0    0 |   0  1  16    0  16   0    0    0   0   0 | *  * 54   *   *    *   *   *   *  * | 1  0  1   0 0
xo.3oo.3oo. ... ox. *c3oo.&#x &   7 0 |  11  10  0 |   10   25   0   0 |    5   20   10    0    0 |   0   1   10   10    0    0    0 |   0  0   0    5   2   0    0    0   0   0 | *  *  * 432   *    *   *   *   *  * | 1  0  0   1 0
xoo3ooo3ooo3ooo ...    ...&#x &   6 1 |  10   5  6 |   10   10   5  10 |    5   10    0   10   10 |   1   0    5    0   10    0    5 |   0  0   1    0   0   0    5    0   1   0 | *  *  *   * 864    *   *   *   *  * | 0  1  1   0 0
xoo3ooo3ooo ... oxo    ...&#x &   6 1 |   7   8  6 |    4   16   8   7 |    1    8    6   16    4 |   0   0    2    4    8    6    1 |   0  0   0    1   0   0    2    4   0   0 | *  *  *   *   * 2160   *   *   *  * | 0  1  0   1 0
xoo3ooo3ooo ... ... *c3ooo&#x &   6 1 |  10   5  6 |   10   10   5  10 |    5   10    0   10   10 |   0   1    5    0   10    0    5 |   0  0   0    0   1   0    5    0   0   1 | *  *  *   *   *    * 864   *   *  * | 0  0  1   1 0
xoo3ooo ... ooo3oxo    ...&#x     6 1 |   6   9  6 |    2   18   9   6 |    0    6    9   18    2 |   0   0    0    6    6    9    0 |   0  0   0    0   0   1    0    6   0   0 | *  *  *   *   *    *   * 720   *  * | 0  2  0   0 0
x.o3o.o3o.o3o.o3o.o    ...&#x &   6 1 |  15   0  6 |   20    0   0  15 |   15    0    0    0   20 |   6   0    0    0    0    0   15 |   1  0   0    0   0   0    0    0   6   0 | *  *  *   *   *    *   *   * 144  * | 0  1  0   0 1
x.o3o.o3o.o3o.o ... *c3o.o&#x &  10 1 |  40   0 10 |   80    0   0  40 |   80    0    0    0   80 |  16  16    0    0    0    0   80 |   0  1   0    0   0   0    0    0  16  16 | *  *  *   *   *    *   *   *   * 54 | 0  0  1   0 1
--------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+--------------
xo.3oo.3oo.3oo.3ox. *c3oo.&#x    54 0 | 432 270  0 | 1440 2160   0   0 | 2160 4320 2160    0    0 | 864 432 4320 4320    0    0    0 | 144 54 864 2160 864 720    0    0   0   0 | 2 72 54 432   0    0   0   0   0  0 | 1  *  *   * *
xoo3ooo3ooo3ooo3oxo    ...&#x    12 1 |  30  30 12 |   40  120  30  30 |   30  120   90  120   40 |  12   0   60  120  120   90   30 |   2  0  12   30   0  20   60  120  12   0 | 0  1  0   0  12   30   0  20   2  0 | * 72  *   * *
xoo3ooo3ooo3ooo ... *c3ooo&#x &  11 1 |  40  10 11 |   80   40  10  40 |   80   80    0   40   80 |  16  16   80    0   80    0   80 |   0  1  16    0  16   0   80    0  16  16 | 0  0  1   0  16    0  16   0   0  1 | *  * 54   * *
xoo3ooo3ooo ... oxo *c3ooo&#x &   7 1 |  11  10  7 |   10   25  10  11 |    5   20   10   25   10 |   0   1   10   10   20   10    5 |   0  0   0    5   2   0   10   10   0   1 | 0  0  0   1   0    5   2   0   0  0 | *  *  * 432 *
x.o3o.o3o.o3o.o3o.o *c3o.o&#x &  27 1 | 216   0 27 |  720    0   0 216 | 1080    0    0    0  720 | 432 216    0    0    0    0 1080 |  72 27   0    0   0   0    0    0 432 216 | 1  0  0   0   0    0   0   0  72 27 | *  *  *   * 2

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