- general polytopal classes:
- Wythoffian polypeta segmentopeta lace simplices
links
| Acronym | dotip |
| Name | dodecateron prism |
| Circumradius | 1 |
| Volume | 11 sqrt(3)/80 = 0.238157 |
| Face vector | 40, 200, 330, 240, 84, 14 |
| Confer |
|
| External links | |
Incidence matrix according toDynkin symbol
x o3o3x3o3o. . . . . . | 40 | 1 9 | 9 9 9 | 9 9 3 9 3 | 3 9 3 3 3 | 3 3 1------------+----+--------+------------+----------------+----------------+------x . . . . . | 2 | 20 *♦ 9 0 0 | 9 9 0 0 0 | 3 9 3 0 0 | 3 3 0. . . x . . | 2 | * 180 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1------------+----+--------+------------+----------------+----------------+------x . . x . . | 4 | 2 2 | 90 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0. . o3x . . | 3 | 0 3 | * 120 * | 1 0 2 2 0 | 1 2 0 2 1 | 2 1 1. . . x3o . | 3 | 0 3 | * * 120 | 0 1 0 2 2 | 0 2 1 1 2 | 1 2 1------------+----+--------+------------+----------------+----------------+------x . o3x . .♦ 6 | 3 6 | 3 2 0 | 60 * * * * | 1 2 0 0 0 | 2 1 0x . . x3o .♦ 6 | 3 6 | 3 0 2 | * 60 * * * | 0 2 1 0 0 | 1 2 0. o3o3x . .♦ 4 | 0 6 | 0 4 0 | * * 30 * * | 1 0 0 2 0 | 2 0 1. . o3x3o .♦ 6 | 0 12 | 0 4 4 | * * * 60 * | 0 1 0 1 1 | 1 1 1. . . x3o3o♦ 4 | 0 6 | 0 0 4 | * * * * 30 | 0 0 1 0 2 | 0 2 1------------+----+--------+------------+----------------+----------------+------x o3o3x . .♦ 8 | 4 12 | 6 8 0 | 4 0 2 0 0 | 15 * * * * | 2 0 0x . o3x3o .♦ 12 | 6 24 | 12 8 8 | 4 4 0 2 0 | * 30 * * * | 1 1 0x . . x3o3o♦ 8 | 4 12 | 6 0 8 | 0 4 0 0 2 | * * 15 * * | 0 2 0. o3o3x3o .♦ 10 | 0 30 | 0 20 10 | 0 0 5 5 0 | * * * 12 * | 1 0 1. . o3x3o3o♦ 10 | 0 30 | 0 10 20 | 0 0 0 5 5 | * * * * 12 | 0 1 1------------+----+--------+------------+----------------+----------------+------x o3o3x3o .♦ 20 | 10 60 | 30 40 20 | 20 10 10 10 0 | 5 5 0 2 0 | 6 * *x . o3x3o3o♦ 20 | 10 60 | 30 20 40 | 10 20 0 10 10 | 0 5 5 0 2 | * 6 *. o3o3x3o3o♦ 20 | 0 90 | 0 60 60 | 0 0 15 30 15 | 0 0 0 6 6 | * * 2
or. . . . . . | 40 | 1 9 | 9 18 | 18 6 9 | 6 9 6 | 6 1---------------+----+--------+--------+-----------+----------+-----x . . . . . | 2 | 20 *♦ 9 0 | 18 0 0 | 6 9 0 | 6 0. . . x . . | 2 | * 180 | 1 4 | 4 2 4 | 2 4 4 | 4 1---------------+----+--------+--------+-----------+----------+-----x . . x . . | 4 | 2 2 | 90 * | 4 0 0 | 2 4 0 | 4 0. . o3x . . & | 3 | 0 3 | * 240 | 1 1 2 | 1 2 3 | 3 1---------------+----+--------+--------+-----------+----------+-----x . o3x . . &♦ 6 | 3 6 | 3 2 | 120 * * | 1 2 0 | 3 0. o3o3x . . &♦ 4 | 0 6 | 0 4 | * 60 * | 1 0 2 | 2 1. . o3x3o .♦ 6 | 0 12 | 0 8 | * * 60 | 0 1 2 | 2 1---------------+----+--------+--------+-----------+----------+-----x o3o3x . . &♦ 8 | 4 12 | 6 8 | 4 2 0 | 30 * * | 2 0x . o3x3o .♦ 12 | 6 24 | 12 16 | 8 0 2 | * 30 * | 2 0. o3o3x3o . &♦ 10 | 0 30 | 0 30 | 0 5 5 | * * 24 | 1 1---------------+----+--------+--------+-----------+----------+-----x o3o3x3o . &♦ 20 | 10 60 | 30 60 | 30 10 10 | 5 5 2 | 12 *. o3o3x3o3o♦ 20 | 0 90 | 0 120 | 0 30 30 | 0 0 12 | * 2
oo3oo3xx3oo3oo&#x → height = 1(dot||dot)o.3o.3o.3o.3o. | 20 * | 9 1 0 | 9 9 9 0 0 | 3 9 3 9 9 0 0 0 | 3 3 3 9 3 0 0 | 1 3 3 0.o3.o3.o3.o3.o | * 20 | 0 1 9 | 0 0 9 9 9 | 0 0 0 9 9 3 9 3 | 0 0 3 9 3 3 3 | 0 3 3 1------------------+-------+----------+----------------+-------------------------+------------------+--------.. .. x. .. .. | 2 0 | 90 * * | 2 2 1 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0oo3oo3oo3oo3oo&#x | 1 1 | * 20 *♦ 0 0 9 0 0 | 0 0 0 9 9 0 0 0 | 0 0 3 9 3 0 0 | 0 3 3 0.. .. .x .. .. | 0 2 | * * 90 | 0 0 1 2 2 | 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1------------------+-------+----------+----------------+-------------------------+------------------+--------.. o.3x. .. .. | 3 0 | 3 0 0 | 60 * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0.. .. x.3o. .. | 3 0 | 3 0 0 | * 60 * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0.. .. xx .. ..&#x | 2 2 | 1 2 1 | * * 90 * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0.. .o3.x .. .. | 0 3 | 0 0 3 | * * * 60 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1.. .. .x3.o .. | 0 3 | 0 0 3 | * * * * 60 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1------------------+-------+----------+----------------+-------------------------+------------------+--------o.3o.3x. .. ..♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 15 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0.. o.3x.3o. ..♦ 6 0 | 12 0 0 | 4 4 0 0 0 | * 30 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0.. .. x.3o.3o.♦ 4 0 | 6 0 0 | 0 4 0 0 0 | * * 15 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0.. oo3xx .. ..&#x♦ 3 3 | 3 3 3 | 1 0 3 1 0 | * * * 60 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0.. .. xx3oo ..&#x♦ 3 3 | 3 3 3 | 0 1 3 0 1 | * * * * 60 * * * | 0 0 0 2 1 0 0 | 0 1 2 0.o3.o3.x .. ..♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * * * 15 * * | 0 0 1 0 0 2 0 | 0 2 0 1.. .o3.x3.o ..♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * * * * 30 * | 0 0 0 1 0 1 1 | 0 1 1 1.. .. .x3.o3.o♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * * * * 15 | 0 0 0 0 1 0 2 | 0 0 2 1------------------+-------+----------+----------------+-------------------------+------------------+--------o.3o.3x.3o. ..♦ 10 0 | 30 0 0 | 20 10 0 0 0 | 5 5 0 0 0 0 0 0 | 6 * * * * * * | 1 1 0 0.. o.3x.3o.3o.♦ 10 0 | 30 0 0 | 10 20 0 0 0 | 0 5 5 0 0 0 0 0 | * 6 * * * * * | 1 0 1 0oo3oo3xx .. ..&#x♦ 4 4 | 6 4 6 | 4 0 6 4 0 | 1 0 0 4 0 1 0 0 | * * 15 * * * * | 0 2 0 0.. oo3xx3oo ..&#x♦ 6 6 | 12 6 12 | 4 4 12 4 4 | 0 1 0 4 4 0 1 0 | * * * 30 * * * | 0 1 1 0.. .. xx3oo3oo&#x♦ 4 4 | 6 4 6 | 0 4 6 0 4 | 0 0 1 0 4 0 0 1 | * * * * 15 * * | 0 0 2 0.o3.o3.x3.o ..♦ 0 10 | 0 0 30 | 0 0 0 20 10 | 0 0 0 0 0 5 5 0 | * * * * * 6 * | 0 1 0 1.. .o3.x3.o3.o3♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 0 0 0 5 5 | * * * * * * 6 | 0 0 1 1------------------+-------+----------+----------------+-------------------------+------------------+--------o.3o.3x.3o.3o.♦ 20 0 | 90 0 0 | 60 60 0 0 0 | 15 30 15 0 0 0 0 0 | 6 6 0 0 0 0 0 |1 * * *oo3oo3xx3oo ..&#x♦ 10 10 | 30 10 30 | 20 10 30 20 10 | 5 5 0 20 10 5 5 0 | 1 0 5 5 0 1 0 | * 6 * *.. oo3xx3oo3oo&#x♦ 10 10 | 30 10 30 | 10 20 30 10 20 | 0 5 5 10 20 0 5 5 | 0 1 0 5 5 0 1 | * * 6 *.o3.o3.x3.o3.o♦ 0 20 | 0 0 90 | 0 0 0 60 60 | 0 0 0 0 0 15 30 15 | 0 0 0 0 0 6 6 | * * *1oro.3o.3o.3o.3o. | 20 * | 9 1 0 | 18 9 0 | 6 9 18 0 0 | 6 6 9 0 | 1 6 0.o3.o3.o3.o3.o | * 20 | 0 1 9 | 0 9 18 | 0 0 18 6 9 | 0 6 9 6 | 0 6 1--------------------+-------+----------+------------+-----------------+-------------+-------.. .. x. .. .. | 2 0 | 90 * * | 4 1 0 | 2 4 4 0 0 | 4 2 4 0 | 1 4 0oo3oo3oo3oo3oo&#x | 1 1 | * 20 *♦ 0 9 0 | 0 0 18 0 0 | 0 6 9 0 | 0 6 0.. .. .x .. .. | 0 2 | * * 90 | 0 1 4 | 0 0 4 2 4 | 0 2 4 4 | 0 4 1--------------------+-------+----------+------------+-----------------+-------------+-------.. o.3x. .. .. & | 3 0 | 3 0 0 | 120 * * | 1 2 1 0 0 | 3 1 2 0 | 1 3 0.. .. xx .. ..&#x | 2 2 | 1 2 1 | * 90 * | 0 0 4 0 0 | 0 2 4 0 | 0 4 0.. .o3.x .. .. & | 0 3 | 0 0 3 | * * 120 | 0 0 1 1 2 | 0 1 2 3 | 0 3 1--------------------+-------+----------+------------+-----------------+-------------+-------o.3o.3x. .. .. &♦ 4 0 | 6 0 0 | 4 0 0 | 30 * * * * | 2 1 0 0 | 1 2 0.. o.3x.3o. ..♦ 6 0 | 12 0 0 | 8 0 0 | * 30 * * * | 2 0 1 0 | 1 2 0.. oo3xx .. ..&#x &♦ 3 3 | 3 3 3 | 1 3 1 | * * 120 * * | 0 1 2 0 | 0 3 0.o3.o3.x .. .. &♦ 0 4 | 0 0 6 | 0 0 4 | * * * 30 * | 0 1 0 2 | 0 2 1.. .o3.x3.o ..♦ 0 6 | 0 0 12 | 0 0 8 | * * * * 30 | 0 0 1 2 | 0 2 1--------------------+-------+----------+------------+-----------------+-------------+-------o.3o.3x.3o. .. &♦ 10 0 | 30 0 0 | 30 0 0 | 5 5 0 0 0 | 12 * * * | 1 1 0oo3oo3xx .. ..&#x &♦ 4 4 | 6 4 6 | 4 6 4 | 1 0 4 1 0 | * 30 * * | 0 2 0.. oo3xx3oo ..&#x♦ 6 6 | 12 6 12 | 8 12 8 | 0 1 8 0 1 | * * 30 * | 0 2 0.o3.o3.x3.o .. &♦ 0 10 | 0 0 30 | 0 0 30 | 0 0 0 5 5 | * * * 12 | 0 1 1--------------------+-------+----------+------------+-----------------+-------------+-------o.3o.3x.3o.3o.♦ 20 0 | 90 0 0 | 120 0 0 | 30 30 0 0 0 | 12 0 0 0 |1 * *oo3oo3xx3oo ..&#x &♦ 10 10 | 30 10 30 | 30 30 30 | 5 5 30 5 5 | 1 5 5 1 | * 12 *.o3.o3.x3.o3.o♦ 0 20 | 0 0 90 | 0 0 120 | 0 0 0 30 30 | 0 0 0 12 | * *1
xx oo3xo3ox3oo&#x → height = sqrt(3/5) = 0.774597(rappip|| invrappip)o. o.3o.3o.3o. | 20 * | 1 3 6 0 0 | 6 3 6 3 6 3 0 0 0 | 3 6 3 2 6 3 3 6 1 0 0 0 0 | 3 2 1 3 6 1 3 2 0 0 0 | 1 3 2 1 0.o .o3.o3.o3.o | * 20 | 0 0 6 1 3 | 0 0 0 3 3 6 6 6 3 | 0 0 0 0 3 6 1 6 3 6 3 2 3 | 0 0 0 1 6 3 2 3 2 3 1 | 0 2 3 1 1------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------x. .. .. .. .. | 2 0 | 10 * * * *♦ 6 0 0 3 0 0 0 0 0 | 3 6 0 0 6 3 0 0 0 0 0 0 0 | 3 2 0 3 6 1 0 0 0 0 0 | 1 3 2 0 0.. .. x. .. .. | 2 0 | * 60 * * * | 1 1 2 0 1 0 0 0 0 | 1 2 2 1 1 0 1 2 0 0 0 0 0 | 2 1 1 1 2 0 2 1 0 0 0 | 1 2 1 1 0oo oo3oo3oo3oo&#x | 1 1 | * * 60 * * | 0 0 0 1 2 2 0 0 0 | 0 0 0 0 2 2 1 4 1 0 0 0 0 | 0 0 0 1 4 1 2 2 0 0 0 | 0 2 2 1 0.x .. .. .. .. | 0 2 | * * * 10 *♦ 0 0 0 3 0 0 6 0 0 | 0 0 0 0 3 6 0 0 0 3 6 0 0 | 0 0 0 1 6 3 0 0 2 3 0 | 0 2 3 0 1.. .. .. .x .. | 0 2 | * * * * 60 | 0 0 0 0 0 1 1 2 1 | 0 0 0 0 0 1 0 2 1 2 1 1 2 | 0 0 0 0 2 1 1 2 1 2 1 | 0 1 2 1 1------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------x. .. x. .. .. | 4 0 | 2 2 0 0 0 | 30 * * * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 0 | 1 2 1 0 0.. o.3x. .. .. | 3 0 | 0 3 0 0 0 | * 20 * * * * * * * | 1 0 2 0 0 0 1 0 0 0 0 0 0 | 2 0 1 1 0 0 2 0 0 0 0 | 1 2 0 1 0.. .. x.3o. .. | 3 0 | 0 3 0 0 0 | * * 40 * * * * * * | 0 1 1 1 0 0 0 1 0 0 0 0 0 | 1 1 1 0 1 0 1 1 0 0 0 | 1 1 1 1 0xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 30 * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 0 0 1 4 1 0 0 0 0 0 | 0 2 2 0 0.. .. xo .. ..&#x | 2 1 | 0 1 2 0 0 | * * * * 60 * * * * | 0 0 0 0 1 0 1 2 0 0 0 0 0 | 0 0 0 1 2 0 2 1 0 0 0 | 0 2 1 1 0.. .. .. ox ..&#x | 1 2 | 0 0 2 0 1 | * * * * * 60 * * * | 0 0 0 0 0 1 0 2 1 0 0 0 0 | 0 0 0 0 2 1 1 2 0 0 0 | 0 1 2 1 0.x .. .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * 30 * * | 0 0 0 0 0 1 0 0 0 2 1 0 0 | 0 0 0 0 2 1 0 0 1 2 0 | 0 1 2 0 1.. .. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * * 40 * | 0 0 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 0 1 0 1 1 1 1 1 | 0 1 1 1 1.. .. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * * * 20 | 0 0 0 0 0 0 0 0 1 0 1 0 2 | 0 0 0 0 0 1 0 2 0 2 1 | 0 0 2 1 1------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------x. o.3x. .. ..♦ 6 0 | 3 6 0 0 0 | 3 2 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 0 | 1 2 0 0 0x. .. x.3o. ..♦ 6 0 | 3 6 0 0 0 | 3 0 2 0 0 0 0 0 0 | * 20 * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 | 1 1 1 0 0.. o.3x.3o. ..♦ 6 0 | 0 12 0 0 0 | 0 4 4 0 0 0 0 0 0 | * * 10 * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 | 1 1 0 1 0.. .. x.3o.3o.♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 0 | * * * 10 * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 | 1 0 1 1 0xx .. xo .. ..&#x♦ 4 2 | 2 2 4 1 0 | 1 0 0 2 2 0 0 0 0 | * * * * 30 * * * * * * * * | 0 0 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0xx .. .. ox ..&#x♦ 2 4 | 1 0 4 2 2 | 0 0 0 2 0 2 1 0 0 | * * * * * 30 * * * * * * * | 0 0 0 0 2 1 0 0 0 0 0 | 0 1 2 0 0.. oo3xo .. ..&#x♦ 3 1 | 0 3 3 0 0 | 0 1 0 0 3 0 0 0 0 | * * * * * * 20 * * * * * * | 0 0 0 1 0 0 2 0 0 0 0 | 0 2 0 1 0.. .. xo3ox ..&#x♦ 3 3 | 0 3 6 0 3 | 0 0 1 0 3 3 0 1 0 | * * * * * * * 40 * * * * * | 0 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0.. .. .. ox3oo&#x♦ 1 3 | 0 0 3 0 3 | 0 0 0 0 0 3 0 0 1 | * * * * * * * * 20 * * * * | 0 0 0 0 0 1 0 2 0 0 0 | 0 0 2 1 0.x .. .o3.x ..♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 2 0 | * * * * * * * * * 20 * * * | 0 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1.x .. .. .x3.o♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * 10 * * | 0 0 0 0 0 1 0 0 0 2 0 | 0 0 2 0 1.. .o3.o3.x ..♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * 10 * | 0 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1.. .. .o3.x3.o♦ 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 10 | 0 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------x. o.3x.3o. ..♦ 12 0 | 6 24 0 0 0 | 12 8 8 0 0 0 0 0 0 | 4 4 2 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * | 1 1 0 0 0x. .. x.3o.3o.♦ 8 0 | 4 12 0 0 0 | 6 0 8 0 0 0 0 0 0 | 0 4 0 2 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * | 1 0 1 0 0.. o.3x.3o.3o.♦ 10 0 | 0 30 0 0 0 | 0 10 20 0 0 0 0 0 0 | 0 0 5 5 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * | 1 0 0 1 0xx oo3xo .. ..&#x♦ 6 2 | 3 6 6 1 0 | 3 2 0 3 6 0 0 0 0 | 1 0 0 0 3 0 2 0 0 0 0 0 0 | * * * 10 * * * * * * * | 0 2 0 0 0xx .. xo3ox ..&#x♦ 6 6 | 3 6 12 3 6 | 3 0 2 6 6 6 3 2 0 | 0 1 0 0 3 3 0 2 0 1 0 0 0 | * * * * 20 * * * * * * | 0 1 1 0 0xx .. .. ox3oo&#x♦ 2 6 | 1 0 6 3 6 | 0 0 0 3 0 6 3 0 2 | 0 0 0 0 0 3 0 0 2 0 1 0 0 | * * * * * 10 * * * * * | 0 0 2 0 0.. oo3xo3ox ..&#x♦ 6 4 | 0 12 12 0 6 | 0 4 4 0 12 6 0 4 0 | 0 0 1 0 0 0 4 4 0 0 0 1 0 | * * * * * * 10 * * * * | 0 1 0 1 0.. .. xo3ox3oo&#x♦ 4 6 | 0 6 12 0 12 | 0 0 4 0 6 12 0 4 4 | 0 0 0 1 0 0 0 4 4 0 0 0 1 | * * * * * * * 10 * * * | 0 0 1 1 0.x .o3.o3.x ..♦ 0 8 | 0 0 0 4 12 | 0 0 0 0 0 0 6 8 0 | 0 0 0 0 0 0 0 0 0 4 0 2 0 | * * * * * * * * 5 * * | 0 1 0 0 1.x .. .o3.x3.o♦ 0 12 | 0 0 0 6 24 | 0 0 0 0 0 0 12 8 8 | 0 0 0 0 0 0 0 0 0 4 4 0 2 | * * * * * * * * * 5 * | 0 0 1 0 1.. .o3.o3.x3.o♦ 0 10 | 0 0 0 0 30 | 0 0 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * 2 | 0 0 0 1 1------------------+-------+----------------+----------------------------+----------------------------------------+----------------------------+----------x. o.3x.3o.3o.♦ 20 0 | 10 60 0 0 0 | 30 20 40 0 0 0 0 0 0 | 10 20 10 10 0 0 0 0 0 0 0 0 0 | 5 5 2 0 0 0 0 0 0 0 0 |1 * * * *xx oo3xo3ox ..&#x♦ 12 8 | 6 24 24 4 12 | 12 8 8 12 24 12 6 8 0 | 4 4 2 0 12 6 8 8 0 4 0 2 0 | 1 0 0 4 4 0 2 0 1 0 0 | * 5 * * *xx .. xo3ox3oo&#x♦ 8 12 | 4 12 24 6 24 | 6 0 8 12 12 24 12 8 8 | 0 4 0 2 6 12 0 8 8 4 4 0 2 | 0 1 0 0 4 4 0 2 0 1 0 | * * 5 * *.. oo3xo3ox3oo&#x♦ 10 10 | 0 30 30 0 30 | 0 10 20 0 30 30 0 20 10 | 0 0 5 5 0 0 10 20 10 0 0 5 5 | 0 0 1 0 0 0 5 5 0 0 1 | * * * 2 *.x .o3.o3.x3.o♦ 0 20 | 0 0 0 10 60 | 0 0 0 0 0 0 30 40 20 | 0 0 0 0 0 0 0 0 0 20 10 10 10 | 0 0 0 0 0 0 0 0 5 5 2 | * * * *1oro. o.3o.3o.3o. & | 40 | 1 6 3 | 6 3 6 3 9 | 3 6 3 2 9 4 6 | 3 2 1 4 6 5 | 1 5 1--------------------+----+-----------+-----------------+----------------------+------------------+-------x. .. .. .. .. & | 2 | 20 * *♦ 6 0 0 3 0 | 3 6 0 0 9 0 0 | 3 2 0 4 6 0 | 1 5 0.. .. x. .. .. & | 2 | * 120 * | 1 1 2 0 1 | 1 2 2 1 1 1 2 | 2 1 1 1 2 3 | 1 3 1oo oo3oo3oo3oo&#x | 2 | * * 60 | 0 0 0 1 4 | 0 0 0 0 4 2 4 | 0 0 0 2 4 4 | 0 4 1--------------------+----+-----------+-----------------+----------------------+------------------+-------x. .. x. .. .. & | 4 | 2 2 0 | 60 * * * * | 1 2 0 0 1 0 0 | 2 1 0 1 2 0 | 1 3 0.. o.3x. .. .. & | 3 | 0 3 0 | * 40 * * * | 1 0 2 0 0 1 0 | 2 0 1 1 0 2 | 1 2 1.. .. x.3o. .. & | 3 | 0 3 0 | * * 80 * * | 0 1 1 1 0 0 1 | 1 1 1 0 1 2 | 1 2 1xx .. .. .. ..&#x | 4 | 2 0 2 | * * * 30 * | 0 0 0 0 4 0 0 | 0 0 0 2 4 0 | 0 4 0.. .. xo .. ..&#x & | 3 | 0 1 2 | * * * * 120 | 0 0 0 0 1 1 2 | 0 0 0 1 2 3 | 0 3 1--------------------+----+-----------+-----------------+----------------------+------------------+-------x. o.3x. .. .. &♦ 6 | 3 6 0 | 3 2 0 0 0 | 20 * * * * * * | 2 0 0 1 0 0 | 1 2 0x. .. x.3o. .. &♦ 6 | 3 6 0 | 3 0 2 0 0 | * 40 * * * * * | 1 1 0 0 1 0 | 1 2 0.. o.3x.3o. .. &♦ 6 | 0 12 0 | 0 4 4 0 0 | * * 20 * * * * | 1 0 1 0 0 1 | 1 1 1.. .. x.3o.3o. &♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 20 * * * | 0 1 1 0 0 1 | 1 1 1xx .. xo .. ..&#x &♦ 6 | 3 2 4 | 1 0 0 2 2 | * * * * 60 * * | 0 0 0 1 2 0 | 0 3 0.. oo3xo .. ..&#x &♦ 4 | 0 3 3 | 0 1 0 0 3 | * * * * * 40 * | 0 0 0 1 0 2 | 0 2 1.. .. xo3ox ..&#x♦ 6 | 0 6 6 | 0 0 2 0 6 | * * * * * * 40 | 0 0 0 0 1 2 | 0 2 1--------------------+----+-----------+-----------------+----------------------+------------------+-------x. o.3x.3o. .. &♦ 12 | 6 24 0 | 12 8 8 0 0 | 4 4 2 0 0 0 0 | 10 * * * * * | 1 1 0x. .. x.3o.3o. &♦ 8 | 4 12 0 | 6 0 8 0 0 | 0 4 0 2 0 0 0 | * 10 * * * * | 1 1 0.. o.3x.3o.3o. &♦ 10 | 0 30 0 | 0 10 20 0 0 | 0 0 5 5 0 0 0 | * * 4 * * * | 1 0 1xx oo3xo .. ..&#x &♦ 8 | 4 6 6 | 3 2 0 3 6 | 1 0 0 0 3 2 0 | * * * 20 * * | 0 2 0xx .. xo3ox ..&#x♦ 12 | 6 12 12 | 6 0 4 6 12 | 0 2 0 0 6 0 2 | * * * * 20 * | 0 2 0.. oo3xo3ox ..&#x &♦ 10 | 0 18 12 | 0 4 8 0 18 | 0 0 1 1 0 4 4 | * * * * * 20 | 0 1 1--------------------+----+-----------+-----------------+----------------------+------------------+-------x. o.3x.3o.3o. &♦ 20 | 10 60 0 | 30 20 40 0 0 | 10 20 10 10 0 0 0 | 5 5 2 0 0 0 |2 * *xx oo3xo3ox ..&#x &♦ 20 | 10 36 24 | 18 8 16 12 36 | 4 8 2 2 18 8 8 | 1 1 0 4 4 2 | * 10 *.. oo3xo3ox3oo&#x♦ 20 | 0 60 30 | 0 20 40 0 60 | 0 0 10 10 0 20 20 | 0 0 2 0 0 10 | * * 2
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