Acronym jakamo
Name jak atop mo,
jak-first half of parabidiminished laq
Circumradius 1
Lace city
in approx. ASCII-art
 t    h    o		-- x3o3o3o3o *c3o (jak)
            
            
h    r    H 		-- o3o3o3o3o *c3x (mo)
                 
where:
o = o3o3o *b3o3o (pt)
h = x3o3o *b3o3o (hin)
H = o3o3x *b3o3o (alt. hin)
t = o3o3o *b3o3x (tac)
r = o3o3o *b3x3o (rat)
   h  R  h   		--- x3o3o3o3o *c3o (jak)
             
o  d  s  d  o		--- o3o3o3o3o *c3x (mo)

where:
o = o3o3o3o3o (pt)
h = x3o3o3o3o (hix)
R = o3o3o3x3o (inv. rix)
d = o3o3x3o3o (dot)
s = x3o3o3o3x (scad)
Confer
uniform relative:
laq  
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3oo3oo3oo3oo *c3ox&#x   → height = 1/sqrt(3) = 0.577350

o.3o.3o.3o.3o. *c3o.    | 27  *   16  16   0 |  80   80   80    0 |  160  160  160  160    0    0 |  80  40  160  80  160   40   80   0   0   0 | 16 10  80  40   80  10  16  0  0 | 1 16 10  16  1 0
.o3.o3.o3.o3.o *c3.o    |  * 72    0   6  20 |   0   15   60   90 |    0   20   60  180   60   60 |   0   0   15  20   90   60  120  15  30  15 |  0  0   6  15   60  30  30  6  6 | 0  1  6  15  6 1
------------------------+-------+-------------+--------------------+-------------------------------+---------------------------------------------+----------------------------------+-----------------
x. .. .. .. ..    ..    |  2  0 | 216   *   *   10    5    0    0 |   30   20   10    0    0    0 |  20  10   30  10   10    0    0   0   0   0 |  5  5  20  10    5   0   0  0  0 | 1  5  5   1  0 0
oo3oo3oo3oo3oo *c3oo&#x |  1  1 |   * 432   *    0    5   10    0 |    0   10   20   30    0    0 |   0   0   10  10   30   10   20   0   0   0 |  0  0   5  10   20   5   5  0  0 | 0  1  5   5  1 0
.. .. .. .. ..    .x    |  0  2 |   *   * 720 |   0    0    3    9 |    0    0    3   18    9    9 |   0   0    0   1    9    9   18   3   9   3 |  0  0   0   3    9   9   6  3  3 | 0  0  3   3  3 1
------------------------+-------+-------------+--------------------+-------------------------------+---------------------------------------------+----------------------------------+-----------------
x.3o. .. .. ..    ..    |  3  0 |   3   0   0 | 720    *    *    *     6    2    0    0    0    0 |   6   3    6   1    0    0    0   0   0   0 |  2  3   6   3    0   0   0  0  0 | 1  2  3   0  0 0
xo .. .. .. ..    ..&#x |  2  1 |   1   2   0 |   * 1080    *    *     0    4    4    0    0    0 |   0   0    6   4    6    0    0   0   0   0 |  0  0   4   6    4   0   0  0  0 | 0  1  4   1  0 0
.. .. .. .. ..    ox&#x |  1  2 |   0   2   1 |   *    * 2160    *     0    0    2    6    0    0 |   0   0    0   1    6    3    6   0   0   0 |  0  0   0   3    6   3   2  0  0 | 0  0  3   2  1 0
.. .. .o .. .. *c3.x    |  0  3 |   0   0   3 |   *    *    * 2160 |    0    0    0    2    2    2 |   0   0    0   0    1    2    4   1   4   1 |  0  0   0   1    2   4   2  2  2 | 0  0  2   1  2 1
------------------------+-------+-------------+--------------------+-------------------------------+---------------------------------------------+----------------------------------+-----------------
x.3o.3o. .. ..    ..      4  0 |   6   0   0 |   4    0    0    0 | 1080    *    *    *    *    * |   2   1    1   0    0    0    0   0   0   0 |  1  2   2   1    0   0   0  0  0 | 1  1  2   0  0 0
xo3oo .. .. ..    ..&#x   3  1 |   3   3   0 |   1    3    0    0 |    * 1440    *    *    *    * |   0   0    3   1    0    0    0   0   0   0 |  0  0   3   3    0   0   0  0  0 | 0  1  3   0  0 0
xo .. .. .. ..    ox&#x   2  2 |   1   4   1 |   0    2    2    0 |    *    * 2160    *    *    * |   0   0    0   1    3    0    0   0   0   0 |  0  0   0   3    3   0   0  0  0 | 0  0  3   1  0 0
.. .. oo .. .. *c3ox&#x   1  3 |   0   3   3 |   0    0    3    1 |    *    *    * 4320    *    * |   0   0    0   0    1    1    2   0   0   0 |  0  0   0   1    2   2   1  0  0 | 0  0  2   1  1 0
.. .o3.o .. .. *c3.x      0  4 |   0   0   6 |   0    0    0    4 |    *    *    *    * 1080    * |   0   0    0   0    0    1    0   1   2   0 |  0  0   0   1    0   2   0  2  1 | 0  0  2   0  1 1
.. .. .o3.o .. *c3.x      0  4 |   0   0   6 |   0    0    0    4 |    *    *    *    *    * 1080 |   0   0    0   0    0    0    2   0   2   1 |  0  0   0   0    1   2   2  1  2 | 0  0  1   1  2 1
------------------------+-------+-------------+--------------------+-------------------------------+---------------------------------------------+----------------------------------+-----------------
x.3o.3o.3o. ..    ..      5  0 |  10   0   0 |  10    0    0    0 |    5    0    0    0    0    0 | 432   *    *   *    *    *    *   *   *   * |  1  1   1   0    0   0   0  0  0 | 1  1  1   0  0 0
x.3o.3o. .. .. *c3o.      5  0 |  10   0   0 |  10    0    0    0 |    5    0    0    0    0    0 |   * 216    *   *    *    *    *   *   *   * |  0  2   0   1    0   0   0  0  0 | 1  0  2   0  0 0
xo3oo3oo .. ..    ..&#x   4  1 |   6   4   0 |   4    6    0    0 |    1    4    0    0    0    0 |   *   * 1080   *    *    *    *   *   *   * |  0  0   2   1    0   0   0  0  0 | 0  1  2   0  0 0
xo3oo .. .. ..    ox&#x   3  2 |   3   6   1 |   1    6    3    0 |    0    2    3    0    0    0 |   *   *    * 720    *    *    *   *   *   * |  0  0   0   3    0   0   0  0  0 | 0  0  3   0  0 0
xo .. oo .. .. *c3ox&#x   2  3 |   1   6   3 |   0    3    6    1 |    0    0    3    2    0    0 |   *   *    *   * 2160    *    *   *   *   * |  0  0   0   1    2   0   0  0  0 | 0  0  2   1  0 0
.. oo3oo .. .. *c3ox&#x   1  4 |   0   4   6 |   0    0    6    4 |    0    0    0    4    1    0 |   *   *    *   *    * 1080    *   *   *   * |  0  0   0   1    0   2   0  0  0 | 0  0  2   0  1 0
.. .. oo3oo .. *c3ox&#x   1  4 |   0   4   6 |   0    0    6    4 |    0    0    0    4    0    1 |   *   *    *   *    *    * 2160   *   *   * |  0  0   0   0    1   1   1  0  0 | 0  0  1   1  1 0
.o3.o3.o .. .. *c3.x      0  5 |   0   0  10 |   0    0    0   10 |    0    0    0    0    5    0 |   *   *    *   *    *    *    * 216   *   * |  0  0   0   1    0   0   0  2  0 | 0  0  2   0  0 1
.. .o3.o3.o .. *c3.x      0  8 |   0   0  24 |   0    0    0   32 |    0    0    0    0    8    8 |   *   *    *   *    *    *    *   * 270   * |  0  0   0   0    0   1   0  1  1 | 0  0  1   0  1 1
.. .. .o3.o3.o *c3.x      0  5 |   0   0  10 |   0    0    0   10 |    0    0    0    0    0    5 |   *   *    *   *    *    *    *   *   * 216 |  0  0   0   0    0   0   2  0  2 | 0  0  0   1  2 1
------------------------+-------+-------------+--------------------+-------------------------------+---------------------------------------------+----------------------------------+-----------------
x.3o.3o.3o.3o.    ..      6  0 |  15   0   0 |  20    0    0    0 |   15    0    0    0    0    0 |   6   0    0   0    0    0    0   0   0   0 | 72  *   *   *    *   *   *  *  * | 1  1  0   0  0 0
x.3o.3o.3o. .. *c3o.     10  0 |  40   0   0 |  80    0    0    0 |   80    0    0    0    0    0 |  16  16    0   0    0    0    0   0   0   0 |  * 27   *   *    *   *   *  *  * | 1  0  1   0  0 0
xo3oo3oo3oo ..    ..&#x   5  1 |  10   5   0 |  10   10    0    0 |    5   10    0    0    0    0 |   1   0    5   0    0    0    0   0   0   0 |  *  * 432   *    *   *   *  *  * | 0  1  1   0  0 0
xo3oo3oo .. .. *c3ox&#x   5  5 |  10  20  10 |  10   30   30   10 |    5   20   30   20    5    0 |   0   1    5  10   10    5    0   1   0   0 |  *  *   * 216    *   *   *  *  * | 0  0  2   0  0 0
xo .. oo3oo .. *c3ox&#x   2  4 |   1   8   6 |   0    4   12    4 |    0    0    6    8    0    1 |   0   0    0   0    4    0    2   0   0   0 |  *  *   *   * 1080   *   *  *  * | 0  0  1   1  0 0
.. oo3oo3oo .. *c3ox&#x   1  8 |   0   8  24 |   0    0   24   32 |    0    0    0   32    8    8 |   0   0    0   0    0    8    8   0   1   0 |  *  *   *   *    * 270   *  *  * | 0  0  1   0  1 0
.. .. oo3oo3oo *c3ox&#x   1  5 |   0   5  10 |   0    0   10   10 |    0    0    0   10    0    5 |   0   0    0   0    0    0    5   0   0   1 |  *  *   *   *    *   * 432  *  * | 0  0  0   1  1 0
.o3.o3.o3.o .. *c3.x      0 16 |   0   0  80 |   0    0    0  160 |    0    0    0    0   80   40 |   0   0    0   0    0    0    0  16  10   0 |  *  *   *   *    *   *   * 27  * | 0  0  1   0  0 1
.. .o3.o3.o3.o *c3.x      0 16 |   0   0  80 |   0    0    0  160 |    0    0    0    0   40   80 |   0   0    0   0    0    0    0   0  10  16 |  *  *   *   *    *   *   *  * 27 | 0  0  0   0  1 1
------------------------+-------+-------------+--------------------+-------------------------------+---------------------------------------------+----------------------------------+-----------------
x.3o.3o.3o.3o. *c3o.     27  0 | 216   0   0 | 720    0    0    0 | 1080    0    0    0    0    0 | 432 216    0   0    0    0    0   0   0   0 | 72 27   0   0    0   0   0  0  0 | 1  *  *   *  * *
xo3oo3oo3oo3oo    ..&#x   6  1 |  15   6   0 |  20   15    0    0 |   15   20    0    0    0    0 |   6   0   15   0    0    0    0   0   0   0 |  1  0   6   0    0   0   0  0  0 | * 72  *   *  * *
xo3oo3oo3oo .. *c3ox&#x  10 16 |  40  80  80 |  80  160  240  160 |   80  160  240  320   80   40 |  16  16   80  80  160   80   80  16  10   0 |  0  1  16  16   40  10   0  1  0 | *  * 27   *  * *
xo .. oo3oo3oo *c3ox&#x   2  5 |   1  10  10 |   0    5   20   10 |    0    0   10   20    0    5 |   0   0    0   0   10    0   10   0   0   1 |  0  0   0   0    5   0   2  0  0 | *  *  * 216  * *
.. oo3oo3oo3oo *c3ox&#x   1 16 |   0  16  80 |   0    0   80  160 |    0    0    0  160   40   80 |   0   0    0   0    0   40   80   0  10  16 |  0  0   0   0    0  10  16  0  1 | *  *  *   * 27 *
.o3.o3.o3.o3.o *c3.x      0 72 |   0   0 720 |   0    0    0 2160 |    0    0    0    0 1080 1080 |   0   0    0   0    0    0    0 216 270 216 |  0  0   0   0    0   0   0 27 27 | *  *  *   *  * 1

© 2004-2021
top of page