| Acronym | jakaf (old: jakaljakip) |
| Name |
icosiheptaheptacontidipeton alterfastegium, icosiheptaheptacontidipeton atop inverted icosiheptaheptacontidipeton-prism |
| Circumradius | 1 |
|
Lace city in approx. ASCII-art |
j J J where: j = x3o3o3o3o *c3o (jak) J = o3o3o3o3x *c3o (alternate jak) |
| Face vector | 81, 1215, 6966, 19080, 26784, 18801, 5826, 561 |
| Confer |
|
Incidence matrix according to Dynkin symbol
ox ox3oo3oo3oo3xo *d3oo&#x → height = 1/sqrt(12) = 0.288675
(jak || alt. jakip)
o. o.3o.3o.3o.3o. *d3o. | 27 * | 16 20 0 0 | 80 10 80 160 0 0 | 160 40 80 160 320 480 0 0 | 80 40 80 160 240 160 320 480 640 0 0 0 | 16 10 80 160 240 320 32 160 32 16 320 160 160 0 0 0 0 | 1 16 80 16 80 320 80 80 32 2 32 80 20 0 0 0 | 16 1 16 40 10 2 0
.o .o3.o3.o3.o3.o *d3.o | * 54 | 0 10 1 16 | 0 10 80 40 16 80 | 0 80 40 240 160 80 80 160 | 0 0 240 160 80 320 240 160 80 160 80 40 | 0 0 320 240 160 80 80 160 80 80 80 16 16 80 40 16 10 | 0 80 160 80 80 80 16 16 16 10 40 16 1 16 10 1 | 16 10 40 16 1 1 1
---------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
.. .. .. .. .. x. .. | 2 0 | 216 * * * | 10 0 0 10 0 0 | 30 0 5 0 20 60 0 0 | 20 10 0 10 30 0 20 60 120 0 0 0 | 5 5 0 10 30 60 0 10 0 20 60 40 40 0 0 0 0 | 1 0 5 0 10 30 20 20 10 0 2 20 10 0 0 0 | 5 0 1 10 5 1 0
oo oo3oo3oo3oo3oo *d3oo&#x | 1 1 | * 540 * * | 0 1 8 8 0 0 | 0 8 8 24 32 24 0 0 | 0 0 24 32 24 32 48 48 32 0 0 0 | 0 0 32 48 48 32 8 32 8 24 32 8 8 0 0 0 0 | 0 8 32 8 24 32 8 8 8 1 8 8 1 0 0 0 | 8 1 8 8 1 1 0
.x .. .. .. .. .. .. | 0 2 | * * 27 * | 0 10 0 0 16 0 | 0 80 40 0 0 0 80 0 | 0 0 240 160 80 0 0 0 0 160 0 0 | 0 0 320 240 160 80 0 0 0 0 0 0 0 80 40 0 0 | 0 80 160 80 80 80 16 16 0 0 0 0 0 16 10 0 | 16 10 40 16 1 0 1
.. .x .. .. .. .. .. | 0 2 | * * * 432 | 0 0 5 0 1 10 | 0 5 0 30 10 0 10 30 | 0 0 30 10 0 60 30 10 0 30 20 10 | 0 0 60 30 10 0 20 30 20 10 5 0 0 20 10 5 5 | 0 20 30 20 10 5 0 0 5 5 10 1 0 5 5 1 | 5 5 10 1 0 1 1
---------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
.. .. .. .. o.3x. .. | 3 0 | 3 0 0 0 | 720 * * * * * | 6 0 0 0 0 6 0 0 | 6 3 0 0 3 0 0 6 24 0 0 0 | 2 3 0 0 3 12 0 0 0 2 12 12 12 0 0 0 0 | 1 0 0 0 1 6 6 6 4 0 0 6 6 0 0 0 | 2 0 0 3 3 2 0
ox .. .. .. .. .. ..&#x | 1 2 | 0 2 1 0 | * 270 * * * * | 0 8 8 0 0 0 0 0 | 0 0 24 32 24 0 0 0 0 0 0 0 | 0 0 32 48 48 32 0 0 0 0 0 0 0 0 0 0 0 | 0 8 32 8 24 32 8 8 0 0 0 0 0 0 0 0 | 8 1 8 8 1 0 0
.. ox .. .. .. .. ..&#x | 1 2 | 0 2 0 1 | * * 2160 * * * | 0 1 0 6 4 0 0 0 | 0 0 6 4 0 12 12 6 0 0 0 0 | 0 0 12 12 6 0 4 12 4 6 4 0 0 0 0 0 0 | 0 4 12 4 6 4 0 0 4 1 4 1 0 0 0 0 | 4 1 4 1 0 1 0
.. .. .. .. .. xo ..&#x | 2 1 | 1 2 0 0 | * * * 2160 * * | 0 0 1 0 4 6 0 0 | 0 0 0 4 6 0 6 12 12 0 0 0 | 0 0 0 6 12 12 0 4 0 6 12 4 4 0 0 0 0 | 0 0 4 0 6 12 4 4 4 0 1 4 1 0 0 0 | 4 0 1 4 1 1 0
.x .x .. .. .. .. .. | 0 4 | 0 0 2 2 | * * * * 216 * | 0 5 0 0 0 0 10 0 | 0 0 30 10 0 0 0 0 0 30 0 0 | 0 0 60 30 10 0 0 0 0 0 0 0 0 20 10 0 0 | 0 20 30 20 10 5 0 0 0 0 0 0 0 5 5 0 | 5 5 10 1 0 0 1
.. .x3.o .. .. .. .. | 0 3 | 0 0 0 3 | * * * * * 1440 | 0 0 0 3 0 0 1 6 | 0 0 3 0 0 12 3 0 0 6 6 3 | 0 0 12 3 0 0 6 6 6 1 0 0 0 6 3 2 3 | 0 6 6 6 1 0 0 0 2 3 3 0 0 2 3 1 | 2 3 3 0 0 1 1
---------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
.. .. .. o.3o.3x. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 1080 * * * * * * * | 2 1 0 0 0 0 0 0 4 0 0 0 | 1 2 0 0 0 2 0 0 0 0 2 4 4 0 0 0 0 | 1 0 0 0 0 1 2 2 2 0 0 2 4 0 0 0 | 1 0 0 1 2 2 0
ox ox .. .. .. .. ..&#x ♦ 1 4 | 0 4 2 2 | 0 2 2 0 1 0 | * 1080 * * * * * * | 0 0 6 4 0 0 0 0 0 0 0 0 | 0 0 12 12 6 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 12 4 6 4 0 0 0 0 0 0 0 0 0 0 | 4 1 4 1 0 0 0
ox .. .. .. .. xo ..&#x ♦ 2 2 | 1 4 1 0 | 0 2 0 2 0 0 | * * 1080 * * * * * | 0 0 0 4 6 0 0 0 0 0 0 0 | 0 0 0 6 12 12 0 0 0 0 0 0 0 0 0 0 0 | 0 0 4 0 6 12 4 4 0 0 0 0 0 0 0 0 | 4 0 1 4 1 0 0
.. ox3oo .. .. .. ..&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 1 | * * * 4320 * * * * | 0 0 1 0 0 4 2 0 0 0 0 0 | 0 0 4 2 0 0 2 4 2 1 0 0 0 0 0 0 0 | 0 2 4 2 1 0 0 0 2 1 2 0 0 0 0 0 | 2 1 2 0 0 1 0
.. ox .. .. .. xo ..&#x ♦ 2 2 | 1 4 0 1 | 0 0 2 2 0 0 | * * * * 4320 * * * | 0 0 0 1 0 0 3 3 0 0 0 0 | 0 0 0 3 3 0 0 3 0 3 3 0 0 0 0 0 0 | 0 0 3 0 3 3 0 0 3 0 1 1 0 0 0 0 | 3 0 1 1 0 1 0
.. .. .. .. oo3xo ..&#x ♦ 3 1 | 3 3 0 0 | 1 0 0 3 0 0 | * * * * * 4320 * * | 0 0 0 0 1 0 0 2 4 0 0 0 | 0 0 0 0 2 4 0 0 0 1 4 2 2 0 0 0 0 | 0 0 0 0 1 4 2 2 2 0 0 2 1 0 0 0 | 2 0 0 2 1 1 0
.x .x3.o .. .. .. .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 | * * * * * * 720 * | 0 0 3 0 0 0 0 0 0 6 0 0 | 0 0 12 3 0 0 0 0 0 0 0 0 0 6 3 0 0 | 0 6 6 6 1 0 0 0 0 0 0 0 0 2 3 0 | 2 3 3 0 0 0 1
.. .x3.o3.o .. .. .. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 2160 | 0 0 0 0 0 2 0 0 0 1 2 1 | 0 0 2 0 0 0 2 1 2 0 0 0 0 2 1 1 2 | 0 2 1 2 0 0 0 0 1 2 1 0 0 1 2 1 | 1 2 1 0 0 1 1
---------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
.. .. o.3o.3o.3x. .. ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 | 432 * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | 1 0 0 0 0 0 1 0 2 0 0 0 2 0 0 0 | 1 0 0 0 1 2 0
.. .. .. o.3o.3x. *d3o. ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 | * 216 * * * * * * * * * * | 0 2 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 | 1 0 0 0 0 0 0 2 0 0 0 2 4 0 0 0 | 0 0 0 1 2 2 0
ox ox3oo .. .. .. ..&#x ♦ 1 6 | 0 6 3 6 | 0 3 6 0 3 2 | 0 3 0 2 0 0 1 0 | * * 2160 * * * * * * * * * | 0 0 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 4 2 1 0 0 0 0 0 0 0 0 0 0 0 | 2 1 2 0 0 0 0
ox ox .. .. .. xo ..&#x ♦ 2 4 | 1 8 2 2 | 0 4 4 4 1 0 | 0 2 2 0 2 0 0 0 | * * * 2160 * * * * * * * * | 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 0 3 3 0 0 0 0 0 0 0 0 0 0 | 3 0 1 1 0 0 0
ox .. .. .. oo3xo ..&#x ♦ 3 2 | 3 6 1 0 | 1 3 0 6 0 0 | 0 0 3 0 0 2 0 0 | * * * * 2160 * * * * * * * | 0 0 0 0 2 4 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 4 2 2 0 0 0 0 0 0 0 0 | 2 0 0 2 1 0 0
.. ox3oo3oo .. .. ..&#x ♦ 1 4 | 0 4 0 6 | 0 0 6 0 0 4 | 0 0 0 4 0 0 0 1 | * * * * * 4320 * * * * * * | 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 | 1 1 1 0 0 1 0
.. ox3oo .. .. xo ..&#x ♦ 2 3 | 1 6 0 3 | 0 0 6 3 0 1 | 0 0 0 2 3 0 0 0 | * * * * * * 4320 * * * * * | 0 0 0 1 0 0 0 2 0 1 0 0 0 0 0 0 0 | 0 0 2 0 1 0 0 0 2 0 1 0 0 0 0 0 | 2 0 1 0 0 1 0
.. ox .. .. oo3xo ..&#x ♦ 3 2 | 3 6 0 1 | 1 0 3 6 0 0 | 0 0 0 0 3 2 0 0 | * * * * * * * 4320 * * * * | 0 0 0 0 1 0 0 0 0 1 2 0 0 0 0 0 0 | 0 0 0 0 1 2 0 0 2 0 0 1 0 0 0 0 | 2 0 0 1 0 1 0
.. .. .. oo3oo3xo ..&#x ♦ 4 1 | 6 4 0 0 | 4 0 0 6 0 0 | 1 0 0 0 0 4 0 0 | * * * * * * * * 4320 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 | 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 | 1 0 0 1 1 1 0
.x .x3.o3.o .. .. .. ♦ 0 8 | 0 0 4 12 | 0 0 0 0 6 8 | 0 0 0 0 0 0 4 2 | * * * * * * * * * 1080 * * | 0 0 2 0 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 2 1 2 0 0 0 0 0 0 0 0 0 1 2 0 | 1 2 1 0 0 0 1
.. .x3.o3.o3.o .. .. ♦ 0 5 | 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 5 | * * * * * * * * * * 864 * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 | 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 | 1 1 0 0 0 1 1
.. .x3.o3.o .. .. *d3.o ♦ 0 5 | 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 5 | * * * * * * * * * * * 432 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 2 | 0 0 0 2 0 0 0 0 0 2 1 0 0 0 2 1 | 0 2 1 0 0 1 1
---------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
.. o.3o.3o.3o.3x. .. ♦ 6 0 | 15 0 0 0 | 20 0 0 0 0 0 | 15 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 0 | 72 * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 | 1 0 0 0 0 2 0
.. .. o.3o.3o.3x. *d3o. ♦ 10 0 | 40 0 0 0 | 80 0 0 0 0 0 | 80 0 0 0 0 0 0 0 | 16 16 0 0 0 0 0 0 0 0 0 0 | * 27 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 0 0 0 0 1 2 0
ox ox3oo3oo .. .. ..&#x ♦ 1 8 | 0 8 4 12 | 0 4 12 0 6 8 | 0 6 0 8 0 0 4 2 | 0 0 4 0 0 2 0 0 0 1 0 0 | * * 2160 * * * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0
ox ox3oo .. .. xo ..&#x ♦ 2 6 | 1 12 3 6 | 0 6 12 6 3 2 | 0 6 3 4 6 0 1 0 | 0 0 2 3 0 0 2 0 0 0 0 0 | * * * 2160 * * * * * * * * * * * * * | 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2 0 1 0 0 0 0
ox ox .. .. oo3xo ..&#x ♦ 3 4 | 3 12 2 2 | 1 6 6 12 1 0 | 0 3 6 0 6 4 0 0 | 0 0 0 3 2 0 0 2 0 0 0 0 | * * * * 2160 * * * * * * * * * * * * | 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 | 2 0 0 1 0 0 0
ox .. .. oo3oo3xo ..&#x ♦ 4 2 | 6 8 1 0 | 4 4 0 12 0 0 | 1 0 6 0 0 8 0 0 | 0 0 0 0 4 0 0 0 2 0 0 0 | * * * * * 2160 * * * * * * * * * * * | 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0
.. ox3oo3oo3oo .. ..&#x ♦ 1 5 | 0 5 0 10 | 0 0 10 0 0 10 | 0 0 0 10 0 0 0 5 | 0 0 0 0 0 5 0 0 0 0 1 0 | * * * * * * 864 * * * * * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | 1 1 0 0 0 1 0
.. ox3oo3oo .. xo ..&#x ♦ 2 4 | 1 8 0 6 | 0 0 12 4 0 4 | 0 0 0 8 6 0 0 1 | 0 0 0 0 0 2 4 0 0 0 0 0 | * * * * * * * 2160 * * * * * * * * * | 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 | 1 0 1 0 0 1 0
.. ox3oo3oo .. .. *d3oo&#x ♦ 1 5 | 0 5 0 10 | 0 0 10 0 0 10 | 0 0 0 10 0 0 0 5 | 0 0 0 0 0 5 0 0 0 0 0 1 | * * * * * * * * 864 * * * * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 | 0 1 1 0 0 1 0
.. ox3oo .. oo3xo ..&#x ♦ 3 3 | 3 9 0 3 | 1 0 9 9 0 1 | 0 0 0 3 9 3 0 0 | 0 0 0 0 0 0 3 3 0 0 0 0 | * * * * * * * * * 1440 * * * * * * * | 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 | 2 0 0 0 0 1 0
.. ox .. oo3oo3xo ..&#x ♦ 4 2 | 6 8 0 1 | 4 0 4 12 0 0 | 1 0 0 0 6 8 0 0 | 0 0 0 0 0 0 0 4 2 0 0 0 | * * * * * * * * * * 2160 * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 | 1 0 0 1 0 1 0
.. .. oo3oo3oo3xo ..&#x ♦ 5 1 | 10 5 0 0 | 10 0 0 10 0 0 | 5 0 0 0 0 10 0 0 | 1 0 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * * * * 864 * * * * * | 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 | 1 0 0 0 1 1 0
.. .. .. oo3oo3xo *d3oo&#x ♦ 5 1 | 10 5 0 0 | 10 0 0 10 0 0 | 5 0 0 0 0 10 0 0 | 0 1 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * * * * * 864 * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 | 0 0 0 1 1 1 0
.x .x3.o3.o3.o .. .. ♦ 0 10 | 0 0 5 20 | 0 0 0 0 10 20 | 0 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 0 5 2 0 | * * * * * * * * * * * * * 432 * * * | 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 | 1 1 0 0 0 0 1
.x .x3.o3.o .. .. *d3.o ♦ 0 10 | 0 0 5 20 | 0 0 0 0 10 20 | 0 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 0 5 0 2 | * * * * * * * * * * * * * * 216 * * | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 | 0 2 1 0 0 0 1
.. .x3.o3.o3.o3.o .. ♦ 0 6 | 0 0 0 15 | 0 0 0 0 0 20 | 0 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 0 6 0 | * * * * * * * * * * * * * * * 144 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 | 1 0 0 0 0 1 1
.. .x3.o3.o3.o .. *d3.o ♦ 0 10 | 0 0 0 40 | 0 0 0 0 0 80 | 0 0 0 0 0 0 0 80 | 0 0 0 0 0 0 0 0 0 0 16 16 | * * * * * * * * * * * * * * * * 54 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 | 0 1 0 0 0 1 1
---------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
.. o.3o.3o.3o.3x. *d3o. ♦ 27 0 | 216 0 0 0 | 720 0 0 0 0 0 | 1080 0 0 0 0 0 0 0 | 432 216 0 0 0 0 0 0 0 0 0 0 | 72 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * | 0 0 0 0 0 2 0
ox ox3oo3oo3oo .. .. ♦ 1 10 | 0 10 5 20 | 0 5 20 0 10 20 | 0 10 0 20 0 0 10 10 | 0 0 10 0 0 10 0 0 0 5 2 0 | 0 0 5 0 0 0 2 0 0 0 0 0 0 1 0 0 0 | * 432 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0
ox ox3oo3oo .. xo .. ♦ 2 8 | 1 16 4 12 | 0 8 24 8 6 8 | 0 12 4 16 12 0 4 2 | 0 0 8 6 0 4 8 0 0 1 0 0 | 0 0 2 4 0 0 0 2 0 0 0 0 0 0 0 0 0 | * * 1080 * * * * * * * * * * * * * | 1 0 1 0 0 0 0
ox ox3oo3oo .. .. *d3oo ♦ 1 10 | 0 10 5 20 | 0 5 20 0 10 20 | 0 10 0 20 0 0 10 10 | 0 0 10 0 0 10 0 0 0 5 0 2 | 0 0 5 0 0 0 0 0 2 0 0 0 0 0 1 0 0 | * * * 432 * * * * * * * * * * * * | 0 1 1 0 0 0 0
ox ox3oo .. oo3xo .. ♦ 3 6 | 3 18 3 6 | 1 9 18 18 3 2 | 0 9 9 6 18 6 1 0 | 0 0 3 9 3 0 6 6 0 0 0 0 | 0 0 0 3 3 0 0 0 0 2 0 0 0 0 0 0 0 | * * * * 720 * * * * * * * * * * * | 2 0 0 0 0 0 0
ox ox .. oo3oo3xo .. ♦ 4 4 | 6 16 2 2 | 4 8 8 24 1 0 | 1 4 12 0 12 16 0 0 | 0 0 0 6 8 0 0 8 4 0 0 0 | 0 0 0 0 4 2 0 0 0 0 2 0 0 0 0 0 0 | * * * * * 1080 * * * * * * * * * * | 1 0 0 1 0 0 0
ox .. oo3oo3oo3xo .. ♦ 5 2 | 10 10 1 0 | 10 5 0 20 0 0 | 5 0 10 0 0 20 0 0 | 1 0 0 0 10 0 0 0 10 0 0 0 | 0 0 0 0 0 5 0 0 0 0 0 2 0 0 0 0 0 | * * * * * * 432 * * * * * * * * * | 1 0 0 0 1 0 0
ox .. .. oo3oo3xo *d3oo ♦ 5 2 | 10 10 1 0 | 10 5 0 20 0 0 | 5 0 10 0 0 20 0 0 | 0 1 0 0 10 0 0 0 10 0 0 0 | 0 0 0 0 0 5 0 0 0 0 0 0 2 0 0 0 0 | * * * * * * * 432 * * * * * * * * | 0 0 0 1 1 0 0
.. ox3oo3oo3oo3xo ..&#x ♦ 6 6 | 15 30 0 15 | 20 0 60 60 0 20 | 15 0 0 60 90 60 0 15 | 6 0 0 0 0 30 60 60 30 0 6 0 | 1 0 0 0 0 0 6 15 0 20 15 6 0 0 0 1 0 | * * * * * * * * 144 * * * * * * * | 1 0 0 0 0 1 0
.. ox3oo3oo3oo .. *d3oo&#x ♦ 1 10 | 0 10 0 40 | 0 0 40 0 0 80 | 0 0 0 80 0 0 0 80 | 0 0 0 0 0 80 0 0 0 0 16 16 | 0 0 0 0 0 0 16 0 16 0 0 0 0 0 0 0 1 | * * * * * * * * * 54 * * * * * * | 0 1 0 0 0 1 0
.. ox3oo3oo .. xo *d3oo&#x ♦ 2 5 | 1 10 0 10 | 0 0 20 5 0 10 | 0 0 0 20 10 0 0 5 | 0 0 0 0 0 10 10 0 0 0 0 1 | 0 0 0 0 0 0 0 5 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * 432 * * * * * | 0 0 1 0 0 1 0
.. ox .. oo3oo3xo *d3oo&#x ♦ 5 2 | 10 10 0 1 | 10 0 5 20 0 0 | 5 0 0 0 10 20 0 0 | 0 1 0 0 0 0 0 10 10 0 0 0 | 0 0 0 0 0 0 0 0 0 0 5 0 2 0 0 0 0 | * * * * * * * * * * * 432 * * * * | 0 0 0 1 0 1 0
.. .. oo3oo3oo3xo *d3oo&#x ♦ 10 1 | 40 10 0 0 | 80 0 0 40 0 0 | 80 0 0 0 0 80 0 0 | 16 16 0 0 0 0 0 0 80 0 0 0 | 0 1 0 0 0 0 0 0 0 0 0 16 16 0 0 0 0 | * * * * * * * * * * * * 54 * * * | 0 0 0 0 1 1 0
.x .x3.o3.o3.o3.o .. ♦ 0 12 | 0 0 6 30 | 0 0 0 0 15 40 | 0 0 0 0 0 0 20 30 | 0 0 0 0 0 0 0 0 0 15 12 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 2 0 | * * * * * * * * * * * * * 72 * * | 1 0 0 0 0 0 1
.x .x3.o3.o3.o .. *d3.o ♦ 0 20 | 0 0 10 80 | 0 0 0 0 40 160 | 0 0 0 0 0 0 80 160 | 0 0 0 0 0 0 0 0 0 80 32 32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 16 16 0 2 | * * * * * * * * * * * * * * 27 * | 0 1 0 0 0 0 1
.. .x3.o3.o3.o3.o *d3.o ♦ 0 27 | 0 0 0 216 | 0 0 0 0 0 720 | 0 0 0 0 0 0 0 1080 | 0 0 0 0 0 0 0 0 0 0 432 216 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 72 27 | * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 1 1
---------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
ox ox3oo3oo3oo3xo ..&#x ♦ 6 12 | 15 60 6 30 | 20 30 120 120 15 40 | 15 60 60 120 180 120 20 30 | 6 0 60 90 60 60 120 120 60 15 12 0 | 1 0 30 60 60 30 12 30 0 40 30 12 0 6 0 2 0 | 0 6 15 0 20 15 6 0 2 0 0 0 0 1 0 0 | 72 * * * * * *
ox ox3oo3oo3oo .. *d3oo&#x ♦ 1 20 | 0 20 10 80 | 0 10 80 0 40 160 | 0 40 0 160 0 0 80 160 | 0 0 80 0 0 160 0 0 0 80 32 32 | 0 0 80 0 0 0 32 0 32 0 0 0 0 16 16 0 2 | 0 16 0 16 0 0 0 0 0 2 0 0 0 0 1 0 | * 27 * * * * *
ox ox3oo3oo .. xo *d3oo&#x ♦ 2 10 | 1 20 5 20 | 0 10 40 10 10 20 | 0 20 5 40 20 0 10 10 | 0 0 20 10 0 20 20 0 0 5 0 2 | 0 0 10 10 0 0 0 10 4 0 0 0 0 0 1 0 0 | 0 0 5 2 0 0 0 0 0 0 2 0 0 0 0 0 | * * 216 * * * *
ox ox .. oo3oo3xo *d3oo&#x ♦ 5 4 | 10 20 2 2 | 10 10 10 40 1 0 | 5 5 20 0 20 40 0 0 | 0 1 0 10 20 0 0 20 20 0 0 0 | 0 0 0 0 10 10 0 0 0 0 10 0 4 0 0 0 0 | 0 0 0 0 0 5 0 2 0 0 0 2 0 0 0 0 | * * * 216 * * *
ox .. oo3oo3oo3xo *d3oo&#x ♦ 10 2 | 40 20 1 0 | 80 10 0 80 0 0 | 80 0 40 0 0 160 0 0 | 16 16 0 0 80 0 0 0 160 0 0 0 | 0 1 0 0 0 80 0 0 0 0 0 32 32 0 0 0 0 | 0 0 0 0 0 0 16 16 0 0 0 0 2 0 0 0 | * * * * 27 * *
.. ox3oo3oo3oo3xo *d3oo&#x ♦ 27 27 | 216 270 0 216 | 720 0 1080 1080 0 720 | 1080 0 0 2160 2160 2160 0 1080 | 432 216 0 0 0 2160 2160 2160 2160 0 432 216 | 72 27 0 0 0 0 432 1080 432 720 1080 432 432 0 0 72 27 | 1 0 0 0 0 0 0 0 72 27 216 216 27 0 0 1 | * * * * * 2 *
.x .x3.o3.o3.o3.o *d3.o&#x ♦ 0 54 | 0 0 27 432 | 0 0 0 0 216 1440 | 0 0 0 0 0 0 720 2160 | 0 0 0 0 0 0 0 0 0 1080 864 432 | 0 0 0 0 0 0 0 0 0 0 0 0 0 432 216 144 54 | 0 0 0 0 0 0 0 0 0 0 0 0 0 72 27 2 | * * * * * * 1
oxx3ooo3ooo3ooo3xoo *c3ooo&#x → height(1,2) = height(1,3) = 1/sqrt(3) = 0.577350
height(2,3) = 1
o..3o..3o..3o..3o.. *c3o.. | 27 * | 16 20 0 0 | 80 80 160 10 0 0 | 160 160 320 480 40 80 0 0 | 80 40 160 320 480 640 80 160 240 0 0 0 | 16 10 32 160 32 16 320 160 160 80 160 240 320 0 0 0 0 | 1 32 2 32 80 20 16 80 16 80 320 80 80 0 0 0 | 2 16 1 16 40 10 0
.o.3.o.3.o.3.o.3.o. *c3.o. & | * 54 | 0 10 16 1 | 0 80 40 10 80 16 | 0 240 160 80 80 40 160 80 | 0 0 320 240 160 80 240 160 80 80 40 160 | 0 0 80 160 80 80 80 16 16 320 240 160 80 16 10 80 40 | 0 16 10 40 16 1 80 160 80 80 80 16 16 1 16 10 | 1 16 10 40 16 1 1
--------------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
... ... ... ... x.. ... | 2 0 | 216 * * * | 10 0 10 0 0 0 | 30 0 20 60 0 5 0 0 | 20 10 0 20 60 120 0 10 30 0 0 0 | 5 5 0 10 0 20 60 40 40 0 10 30 60 0 0 0 0 | 1 10 0 2 20 10 0 5 0 10 30 20 20 0 0 0 | 1 5 0 1 10 5 0
oo.3oo.3oo.3oo.3oo. *c3oo.&#x & | 1 1 | * 540 * * | 0 8 8 1 0 0 | 0 24 32 24 8 8 0 0 | 0 0 32 48 48 32 24 32 24 0 0 0 | 0 0 8 32 8 24 32 8 8 32 48 48 32 0 0 0 0 | 0 8 1 8 8 1 8 32 8 24 32 8 8 0 0 0 | 1 8 1 8 8 1 0
.x. ... ... ... ... ... & | 0 2 | * * 432 * | 0 5 0 0 10 1 | 0 30 10 0 5 0 30 10 | 0 0 60 30 10 0 30 10 0 20 10 30 | 0 0 20 30 20 10 5 0 0 60 30 10 0 5 5 20 10 | 0 5 5 10 1 0 20 30 20 10 5 0 0 1 5 5 | 1 5 5 10 1 0 1
.oo3.oo3.oo3.oo3.oo *c3.oo&#x | 0 2 | * * * 27 | 0 0 0 10 0 16 | 0 0 0 0 80 40 0 80 | 0 0 0 0 0 0 240 160 80 0 0 160 | 0 0 0 0 0 0 0 0 0 320 240 160 80 0 0 80 40 | 0 0 0 0 0 0 80 160 80 80 80 16 16 0 16 10 | 0 16 10 40 16 1 1
--------------------------------+-------+----------------+----------------------------+----------------------------------------+---------------------------------------------------------+-------------------------------------------------------------------------+-----------------------------------------------------------+---------------------
... ... ... o..3x.. ... | 3 0 | 3 0 0 0 | 720 * * * * * | 6 0 0 6 0 0 0 0 | 6 3 0 0 6 24 0 0 3 0 0 0 | 2 3 0 0 0 2 12 12 12 0 0 3 12 0 0 0 0 | 1 4 0 0 6 6 0 0 0 1 6 6 6 0 0 0 | 2 2 0 0 3 3 0
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... ... ... ooo3xoo ...&#x ♦ 3 2 | 3 6 0 1 | 1 0 6 3 0 0 | 0 0 0 2 0 3 0 0 | * * * * * * * * 2160 * * * | 0 0 0 0 0 0 0 0 0 0 0 2 4 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 4 2 2 0 0 0 | 0 2 0 0 2 1 0
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o..3o..3o..3o..3x.. ... ♦ 6 0 | 15 0 0 0 | 20 0 0 0 0 0 | 15 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 0 | 72 * * * * * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 0
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.xx3.oo3.oo3.oo ... ...&#x ♦ 0 10 | 0 0 20 5 | 0 0 0 0 20 10 | 0 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 0 2 0 5 | * * * * * * * * * * * * * * * 432 * | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 | 0 1 1 0 0 0 1
.xx3.oo3.oo ... ... *c3.oo&#x ♦ 0 10 | 0 0 20 5 | 0 0 0 0 20 10 | 0 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 0 0 2 5 | * * * * * * * * * * * * * * * * 216 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 | 0 0 2 1 0 0 1
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ox.3oo.3oo.3oo.3xo. ...&#x & ♦ 6 6 | 15 30 15 0 | 20 60 60 0 20 0 | 15 60 90 60 0 0 15 0 | 6 0 30 60 60 30 0 0 0 6 0 0 | 1 0 6 15 0 20 15 6 0 0 0 0 0 1 0 0 0 | * 144 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0
ox.3oo.3oo.3oo. ... *c3oo.&#x & ♦ 1 10 | 0 10 40 0 | 0 40 0 0 80 0 | 0 80 0 0 0 0 80 0 | 0 0 80 0 0 0 0 0 0 16 16 0 | 0 0 16 0 16 0 0 0 0 0 0 0 0 0 1 0 0 | * * 54 * * * * * * * * * * * * * | 1 0 1 0 0 0 0
ox.3oo.3oo. ... xo. *c3oo.&#x & ♦ 2 5 | 1 10 10 0 | 0 20 5 0 10 0 | 0 20 10 0 0 0 5 0 | 0 0 10 10 0 0 0 0 0 0 1 0 | 0 0 0 5 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 432 * * * * * * * * * * * * | 1 0 0 1 0 0 0
ox. ... oo.3oo.3xo. *c3oo.&#x & ♦ 5 2 | 10 10 1 0 | 10 5 20 0 0 0 | 5 0 10 20 0 0 0 0 | 0 1 0 0 10 10 0 0 0 0 0 0 | 0 0 0 0 0 0 5 0 2 0 0 0 0 0 0 0 0 | * * * * 432 * * * * * * * * * * * | 1 0 0 0 1 0 0
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oxx3ooo3ooo3ooo ... ...&#x ♦ 1 10 | 0 10 20 5 | 0 20 0 5 20 10 | 0 20 0 0 10 0 10 10 | 0 0 10 0 0 0 10 0 0 2 0 5 | 0 0 2 0 0 0 0 0 0 5 0 0 0 0 0 1 0 | * * * * * * 432 * * * * * * * * * | 0 1 1 0 0 0 0
oxx3ooo3ooo ... xoo ...&#x ♦ 2 8 | 1 16 12 4 | 0 24 8 8 8 6 | 0 16 12 0 12 4 2 4 | 0 0 4 8 0 0 8 6 0 0 0 1 | 0 0 0 2 0 0 0 0 0 2 4 0 0 0 0 0 0 | * * * * * * * 1080 * * * * * * * * | 0 1 0 1 0 0 0
oxx3ooo3ooo ... ... *c3ooo&#x ♦ 1 10 | 0 10 20 5 | 0 20 0 5 20 10 | 0 20 0 0 10 0 10 10 | 0 0 10 0 0 0 10 0 0 0 2 5 | 0 0 0 0 2 0 0 0 0 5 0 0 0 0 0 0 1 | * * * * * * * * 432 * * * * * * * | 0 0 1 1 0 0 0
oxx3ooo ... ooo3xoo ...&#x ♦ 3 6 | 3 18 6 3 | 1 18 18 9 2 3 | 0 6 18 6 9 9 0 1 | 0 0 0 6 6 0 3 9 3 0 0 0 | 0 0 0 0 0 2 0 0 0 0 3 3 0 0 0 0 0 | * * * * * * * * * 720 * * * * * * | 0 2 0 0 0 0 0
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... ... ooo3ooo3xoo *c3ooo&#x ♦ 5 2 | 10 10 0 1 | 10 0 20 5 0 0 | 5 0 0 20 0 10 0 0 | 0 1 0 0 0 10 0 0 10 0 0 0 | 0 0 0 0 0 0 0 0 2 0 0 0 5 0 0 0 0 | * * * * * * * * * * * * 432 * * * | 0 0 0 0 1 1 0
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.xx3.oo3.oo3.oo ... *c3.oo&#x ♦ 0 20 | 0 0 80 10 | 0 0 0 0 160 40 | 0 0 0 0 0 0 160 80 | 0 0 0 0 0 0 0 0 0 32 32 80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 16 | * * * * * * * * * * * * * * * 27 | 0 0 1 0 0 0 1
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oxx3ooo3ooo3ooo ... *c3ooo&#x ♦ 1 20 | 0 20 80 10 | 0 80 0 10 160 40 | 0 160 0 0 40 0 160 80 | 0 0 160 0 0 0 80 0 0 32 32 80 | 0 0 32 0 32 0 0 0 0 80 0 0 0 0 2 16 16 | 0 0 2 0 0 0 16 0 16 0 0 0 0 0 0 1 | * * 27 * * * *
oxx3ooo3ooo ... xoo *c3ooo&#x ♦ 2 10 | 1 20 20 5 | 0 40 10 10 20 10 | 0 40 20 0 20 5 10 10 | 0 0 20 20 0 0 20 10 0 0 2 5 | 0 0 0 10 4 0 0 0 0 10 10 0 0 0 0 0 1 | 0 0 0 2 0 0 0 5 2 0 0 0 0 0 0 0 | * * * 216 * * *
oxx ... ooo3ooo3xoo *c3ooo&#x ♦ 5 4 | 10 20 2 2 | 10 10 40 10 0 1 | 5 0 20 40 5 20 0 0 | 0 1 0 0 20 20 0 10 20 0 0 0 | 0 0 0 0 0 0 10 0 4 0 0 10 10 0 0 0 0 | 0 0 0 0 2 0 0 0 0 0 5 0 2 0 0 0 | * * * * 216 * *
... ooo3ooo3ooo3xoo *c3ooo&#x ♦ 10 2 | 40 20 0 1 | 80 0 80 10 0 0 | 80 0 0 160 0 40 0 0 | 16 16 0 0 0 160 0 0 80 0 0 0 | 0 1 0 0 0 0 0 32 32 0 0 0 80 0 0 0 0 | 0 0 0 0 0 2 0 0 0 0 0 16 16 0 0 0 | * * * * * 27 *
.xx3.oo3.oo3.oo3.oo *c3.oo&#x ♦ 0 54 | 0 0 432 27 | 0 0 0 0 1440 216 | 0 0 0 0 0 0 2160 720 | 0 0 0 0 0 0 0 0 0 864 432 1080 | 0 0 0 0 0 0 0 0 0 0 0 0 0 144 54 432 216 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 72 27 | * * * * * * 1
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