Acronym | thid |
Name | triaconta-hexa-diminished pentacontihexapentacosiheptacontihexaexon |
Circumradius | 1 |
Lace city in approx. ASCII-art |
+ - - + + - where: + = o3x3o3o3o (rix) - = o3o3o3x3o (inv. rix) |
Face vector | 90, 990, 3570, 5520, 3972, 1224, 104 |
Confer |
Incidence matrix according to Dynkin symbol
xo3ox oo3xo3oo3ox3oo&#zx (tegum sum of 2 mutually bi-inv. trarixes) o.3o. o.3o.3o.3o.3o. & | 90 | 2 8 12 | 1 16 4 12 18 72 | 8 24 6 8 6 60 48 32 32 48 | 12 16 4 2 36 28 72 20 20 14 40 16 | 8 4 1 16 24 24 28 8 12 8 | 2 8 4 8 2 ---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+-------------- x. .. .. .. .. .. .. & | 2 | 90 * * | 1 8 0 0 6 0 | 8 12 0 0 6 24 12 0 0 0 | 12 8 0 0 36 12 24 4 4 0 0 0 | 8 2 0 16 24 8 8 1 0 0 | 2 8 4 2 0 .. .. x. .. .. .. .. & | 2 | * 360 * | 0 2 1 3 0 6 | 1 6 3 3 0 6 3 6 6 6 | 3 6 3 1 3 6 9 3 3 6 8 6 | 3 2 1 3 3 9 5 3 8 2 | 1 3 1 5 2 oo3oo oo3oo3oo3oo3oo&#x | 2 | * * 540 | 0 0 0 0 2 8 | 0 0 0 0 1 8 8 4 4 8 | 0 0 0 0 8 4 16 4 4 2 8 4 | 0 0 0 4 8 8 8 2 4 2 | 0 4 2 4 1 ---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+-------------- x.3o. .. .. .. .. .. & | 3 | 3 0 0 | 30 * * * * * | 8 0 0 0 6 0 0 0 0 0 | 12 0 0 0 36 0 0 0 0 0 0 0 | 8 0 0 16 24 0 0 0 0 0 | 2 8 4 0 0 x. .. .. x. .. .. .. & | 4 | 2 2 0 | * 360 * * * * | 1 3 0 0 0 3 0 0 0 0 | 3 3 0 0 3 3 3 0 0 0 0 0 | 3 1 0 3 3 3 1 0 0 0 | 1 3 1 1 0 .. .. o.3x. .. .. .. & | 3 | 0 3 0 | * * 120 * * * | 0 0 3 0 0 0 0 6 0 0 | 0 0 3 0 0 0 0 0 3 6 6 0 | 0 0 1 0 0 0 3 3 6 2 | 0 0 1 3 2 .. .. .. x.3o. .. .. & | 3 | 0 3 0 | * * * 360 * * | 0 2 1 2 0 0 0 0 2 0 | 1 4 2 1 0 2 0 1 0 2 0 4 | 2 2 1 1 0 6 0 1 6 0 | 1 2 0 4 2 xo .. .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * * 540 * | 0 0 0 0 1 4 4 0 0 0 | 0 0 0 0 8 2 8 2 2 0 0 0 | 0 0 0 4 8 4 4 1 0 0 | 0 4 2 2 0 .. .. .. xo .. .. ..&#x & | 3 | 0 1 2 | * * * * * 2160 | 0 0 0 0 0 1 1 1 1 2 | 0 0 0 0 1 1 4 1 1 1 3 2 | 0 0 0 1 2 4 3 1 3 1 | 0 2 1 3 1 ---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+-------------- x.3o. .. x. .. .. .. & ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | 120 * * * * * * * * * | 3 0 0 0 3 0 0 0 0 0 0 0 | 3 0 0 3 3 0 0 0 0 0 | 1 3 1 0 0 x. .. .. x.3o. .. .. & ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * 360 * * * * * * * * | 1 2 0 0 0 1 0 0 0 0 0 0 | 2 1 0 1 0 2 0 0 0 0 | 1 2 0 1 0 .. .. o.3x.3o. .. .. & ♦ 6 | 0 12 0 | 0 0 4 4 0 0 | * * 90 * * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 0 1 4 0 | 0 0 0 2 2 .. .. .. x.3o.3o. .. & ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * 180 * * * * * * | 0 2 1 1 0 0 0 0 0 0 0 2 | 1 2 1 0 0 3 0 0 4 0 | 1 1 0 3 2 xo3ox .. .. .. .. ..&#x ♦ 6 | 6 0 6 | 2 0 0 0 6 0 | * * * * 90 * * * * * | 0 0 0 0 8 0 0 0 0 0 0 0 | 0 0 0 4 8 0 0 0 0 0 | 0 4 2 0 0 xo .. .. xo .. .. ..&#x & ♦ 5 | 2 2 4 | 0 1 0 0 2 2 | * * * * * 1080 * * * * | 0 0 0 0 1 1 2 0 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0 xo .. .. .. .. ox ..&#x & ♦ 4 | 1 1 4 | 0 0 0 0 2 2 | * * * * * * 1080 * * * | 0 0 0 0 1 0 2 1 1 0 0 0 | 0 0 0 1 2 2 2 1 0 0 | 0 2 1 2 0 .. .. oo3xo .. .. ..&#x & ♦ 4 | 0 3 3 | 0 0 1 0 0 3 | * * * * * * * 720 * * | 0 0 0 0 0 0 0 0 1 1 2 0 | 0 0 0 0 0 0 2 1 2 1 | 0 0 1 2 1 .. .. .. xo3oo .. ..&#x & ♦ 4 | 0 3 3 | 0 0 0 1 0 3 | * * * * * * * * 720 * | 0 0 0 0 0 1 0 1 0 1 0 2 | 0 0 0 1 0 4 0 1 3 0 | 0 2 0 3 1 .. .. .. xo .. ox ..&#x ♦ 4 | 0 2 4 | 0 0 0 0 0 4 | * * * * * * * * * 1080 | 0 0 0 0 0 0 2 0 0 0 2 1 | 0 0 0 0 1 2 2 0 2 1 | 0 1 1 2 1 ---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+-------------- x.3o. .. x.3o. .. .. & ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 3 3 0 0 0 0 0 0 0 0 | 120 * * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0 x. .. .. x.3o.3o. .. & ♦ 8 | 4 12 0 | 0 6 0 8 0 0 | 0 4 0 2 0 0 0 0 0 0 | * 180 * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 | 1 1 0 1 0 .. .. o.3x.3o.3o. .. & ♦ 10 | 0 30 0 | 0 0 10 20 0 0 | 0 0 5 5 0 0 0 0 0 0 | * * 36 * * * * * * * * * | 0 0 1 0 0 0 0 0 2 0 | 0 0 0 1 2 .. .. .. x.3o.3o.3o. & ♦ 5 | 0 10 0 | 0 0 0 10 0 0 | 0 0 0 5 0 0 0 0 0 0 | * * * 36 * * * * * * * * | 0 2 1 0 0 0 0 0 2 0 | 1 0 0 2 2 xo3ox .. xo .. .. ..&#x & ♦ 9 | 9 3 12 | 3 3 0 0 12 6 | 1 0 0 0 2 3 3 0 0 0 | * * * * 360 * * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0 xo .. .. xo3oo .. ..&#x & ♦ 7 | 3 6 6 | 0 3 0 2 3 6 | 0 1 0 0 0 3 0 0 2 0 | * * * * * 360 * * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0 xo .. .. xo .. ox ..&#x & ♦ 6 | 2 3 8 | 0 1 0 0 4 8 | 0 0 0 0 0 2 2 0 0 2 | * * * * * * 1080 * * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 xo .. .. .. oo3ox ..&#x & ♦ 5 | 1 3 6 | 0 0 0 1 3 6 | 0 0 0 0 0 0 3 0 2 0 | * * * * * * * 360 * * * * | 0 0 0 1 0 2 0 1 0 0 | 0 2 0 2 0 xo .. .. .. .. ox3oo&#x & ♦ 5 | 1 3 6 | 0 0 1 0 3 6 | 0 0 0 0 0 0 3 2 0 0 | * * * * * * * * 360 * * * | 0 0 0 0 0 0 2 1 0 0 | 0 0 1 2 0 .. .. oo3xo3oo .. ..&#x & ♦ 7 | 0 12 6 | 0 0 4 4 0 12 | 0 0 1 0 0 0 0 4 4 0 | * * * * * * * * * 180 * * | 0 0 0 0 0 0 0 1 2 0 | 0 0 0 2 1 .. .. oo3xo .. ox ..&#x & ♦ 5 | 0 4 6 | 0 0 1 0 0 9 | 0 0 0 0 0 0 0 2 0 3 | * * * * * * * * * * 720 * | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 .. .. .. xo3oo3ox ..&#x ♦ 8 | 0 12 12 | 0 0 0 8 0 24 | 0 0 0 2 0 0 0 0 8 6 | * * * * * * * * * * * 180 | 0 0 0 0 0 2 0 0 2 0 | 0 1 0 2 1 ---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+-------------- x.3o. .. x.3o.3o. .. & ♦ 12 | 12 18 0 | 4 18 0 12 0 0 | 6 12 0 3 0 0 0 0 0 0 | 4 3 0 0 0 0 0 0 0 0 0 0 | 60 * * * * * * * * * | 1 1 0 0 0 x. .. .. x.3o.3o.3o. & ♦ 10 | 5 20 0 | 0 10 0 20 0 0 | 0 10 0 10 0 0 0 0 0 0 | 0 5 0 2 0 0 0 0 0 0 0 0 | * 36 * * * * * * * * | 1 0 0 1 0 .. .. o.3x.3o.3o.3o. & ♦ 15 | 0 60 0 | 0 0 20 60 0 0 | 0 0 15 30 0 0 0 0 0 0 | 0 0 6 6 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * | 0 0 0 0 2 xo3ox .. xo3oo .. ..&#x & ♦ 12 | 12 9 18 | 4 9 0 3 18 18 | 3 3 0 0 3 9 9 0 6 0 | 1 0 0 0 3 3 0 3 0 0 0 0 | * * * 120 * * * * * * | 0 2 0 0 0 xo3ox .. xo .. ox ..&#x ♦ 12 | 12 6 24 | 4 6 0 0 24 24 | 2 0 0 0 4 12 12 0 0 6 | 0 0 0 0 4 0 6 0 0 0 0 0 | * * * * 180 * * * * * | 0 1 1 0 0 xo .. .. xo3oo3ox ..&#x & ♦ 12 | 4 18 24 | 0 6 0 12 12 48 | 0 4 0 3 0 12 12 0 16 12 | 0 1 0 0 0 4 6 4 0 0 0 2 | * * * * * 180 * * * * | 0 1 0 1 0 xo .. .. xo .. ox3oo&#x & ♦ 7 | 2 5 12 | 0 1 1 0 6 18 | 0 0 0 0 0 3 6 4 0 6 | 0 0 0 0 0 0 3 0 2 0 2 0 | * * * * * * 360 * * * | 0 0 1 1 0 xo .. .. .. oo3ox3oo&#x & ♦ 8 | 1 12 12 | 0 0 4 4 6 24 | 0 0 1 0 0 0 12 8 8 0 | 0 0 0 0 0 0 0 4 4 2 0 0 | * * * * * * * 90 * * | 0 0 0 2 0 .. .. oo3xo3oo3ox ..&#x & ♦ 15 | 0 40 30 | 0 0 10 30 0 90 | 0 0 5 10 0 0 0 20 30 30 | 0 0 1 1 0 0 0 0 0 5 10 5 | * * * * * * * * 72 * | 0 0 0 1 1 .. .. oo3xo .. ox3oo&#x ♦ 6 | 0 6 9 | 0 0 2 0 0 18 | 0 0 0 0 0 0 0 6 0 9 | 0 0 0 0 0 0 0 0 0 0 6 0 | * * * * * * * * * 120 | 0 0 1 0 1 ---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+-------------- x.3o. .. x.3o.3o.3o. & ♦ 15 | 15 30 0 | 5 30 0 30 0 0 | 10 30 0 15 0 0 0 0 0 0 | 10 15 0 3 0 0 0 0 0 0 0 0 | 5 3 0 0 0 0 0 0 0 0 | 12 * * * * xo3ox .. xo3oo3ox ..&#x ♦ 24 | 24 36 72 | 8 36 0 24 72 144 | 12 24 0 6 12 72 72 0 48 36 | 8 6 0 0 24 24 36 24 0 0 0 6 | 2 0 0 8 6 6 0 0 0 0 | * 30 * * * xo3ox oo3xo .. ox3oo&#zx ♦ 18 | 18 18 54 | 6 18 6 0 54 108 | 6 0 0 0 9 54 54 36 0 54 | 0 0 0 0 18 0 54 0 18 0 36 0 | 0 0 0 0 9 0 18 0 0 6 | * * 20 * * xo .. .. xo3oo3ox3oo&#x & ♦ 20 | 5 50 60 | 0 10 10 40 30 180 | 0 10 5 15 0 30 60 40 60 60 | 0 5 1 2 0 10 30 20 20 10 20 10 | 0 1 0 0 0 5 10 5 2 0 | * * * 36 * .. .. oo3xo3oo3ox3oo&#x ♦ 30 | 0 120 90 | 0 0 40 120 0 360 | 0 0 30 60 0 0 0 120 120 180 | 0 0 12 12 0 0 0 0 0 30 120 30 | 0 0 2 0 0 0 0 0 12 20 | * * * * 6
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