- 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 |
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External links |
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Incidence matrix according to Dynkin 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 0 x . . 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 0 x . o3x3o . ♦ 12 | 6 24 | 12 8 8 | 4 4 0 2 0 | * 30 * * * | 1 1 0 x . . 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 0 x . 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 0
oo3oo3oo3oo3oo&#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 0
oo3oo3xx .. ..&#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 | * * * 1
or o.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 0 oo3oo3oo3oo3oo&#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 0 oo3oo3xx .. ..&#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 || inv rappip)
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 0
oo 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 0
xx .. .. .. ..&#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 0
x. .. 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 0
xx .. 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 0
xx .. .. 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 0
x. .. 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 0
xx 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 0
xx .. 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 0
xx .. .. 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 | * * * * 1
or o. 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 1 oo 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 1 xx .. .. .. ..&#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 0 x. .. 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 1 xx .. 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 0 x. .. 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 1 xx oo3xo .. ..&#x & ♦ 8 | 4 6 6 | 3 2 0 3 6 | 1 0 0 0 3 2 0 | * * * 20 * * | 0 2 0 xx .. 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
xxxx oxoo3ooxo oxoo3ooxo&#xt → all heights = 1/sqrt(3) = 0.577350 (line || pseudo tratrip || pseudo inv tratrip || line) o... o...3o... o...3o... & | 4 * | 1 9 0 0 0 | 9 18 0 0 0 0 | 18 6 9 0 0 0 0 | 6 9 6 0 0 | 6 1 .o.. .o..3.o.. .o..3.o.. & | * 36 | 0 1 1 4 4 | 1 4 4 2 4 12 | 4 2 5 2 12 4 4 | 2 5 6 4 4 | 6 1 --------------------------------+------+---------------+--------------------+----------------------+----------------+----- x... .... .... .... .... & | 2 0 | 2 * * * * ♦ 9 0 0 0 0 0 | 18 0 0 0 0 0 0 | 6 9 0 0 0 | 6 0 oo.. oo..3oo.. oo..3oo..&#x & | 1 1 | * 36 * * * | 1 4 0 0 0 0 | 4 2 4 0 0 0 0 | 2 4 4 0 0 | 4 1 .x.. .... .... .... .... & | 0 2 | * * 18 * * ♦ 1 0 4 0 4 0 | 4 0 0 2 12 0 0 | 2 5 0 4 4 | 6 0 .... .x.. .... .... .... & | 0 2 | * * * 72 * | 0 1 1 1 0 2 | 1 1 2 1 2 2 1 | 1 2 4 2 1 | 4 1 .oo. .oo.3.oo. .oo.3.oo.&#x | 0 2 | * * * * 72 | 0 0 0 0 1 4 | 0 0 2 0 4 2 2 | 0 2 4 2 2 | 4 1 --------------------------------+------+---------------+--------------------+----------------------+----------------+----- xx.. .... .... .... ....&#x & | 2 2 | 1 2 1 0 0 | 18 * * * * * | 4 0 0 0 0 0 0 | 2 4 0 0 0 | 4 0 .... ox.. .... .... ....&#x & | 1 2 | 0 2 0 1 0 | * 72 * * * * | 1 1 2 0 0 0 0 | 1 2 3 0 0 | 3 1 .x.. .x.. .... .... .... & | 0 4 | 0 0 2 2 0 | * * 36 * * * | 1 0 0 1 2 0 0 | 1 2 0 2 1 | 4 0 .... .x..3.o.. .... .... & | 0 3 | 0 0 0 3 0 | * * * 24 * * | 0 1 0 1 0 2 0 | 1 0 3 2 0 | 3 1 .xx. .... .... .... ....&#x | 0 4 | 0 0 2 0 2 | * * * * 36 * | 0 0 0 0 4 0 0 | 0 2 0 2 2 | 4 0 .... .xo. .... .... ....&#x & | 0 3 | 0 0 0 1 2 | * * * * * 144 | 0 0 1 0 1 1 1 | 0 1 3 1 1 | 3 1 --------------------------------+------+---------------+--------------------+----------------------+----------------+----- xx.. ox.. .... .... ....&#x & ♦ 2 4 | 1 4 2 2 0 | 2 2 1 0 0 0 | 36 * * * * * * | 1 2 0 0 0 | 3 0 .... ox..3oo.. .... ....&#x & ♦ 1 3 | 0 3 0 3 0 | 0 3 0 1 0 0 | * 24 * * * * * | 1 0 2 0 0 | 2 1 .... oxo. .... oxo. ....&#xt & ♦ 1 5 | 0 4 0 4 4 | 0 4 0 0 0 4 | * * 36 * * * * | 0 1 2 0 0 | 2 1 .x.. .x..3.o.. .... .... & ♦ 0 6 | 0 0 3 6 0 | 0 0 3 2 0 0 | * * * 12 * * * | 1 0 0 2 0 | 3 0 .xx. .xo. .... .... ....&#x & ♦ 0 6 | 0 0 3 2 4 | 0 0 1 0 2 2 | * * * * 72 * * | 0 1 0 1 1 | 3 0 .... .xo.3.ox. .... ....&#x & ♦ 0 6 | 0 0 0 6 6 | 0 0 0 2 0 6 | * * * * * 24 * | 0 0 2 1 0 | 2 1 .... .xo. .... .... .ox.&#xt & ♦ 0 4 | 0 0 0 2 4 | 0 0 0 0 0 4 | * * * * * * 36 | 0 0 2 0 1 | 2 1 --------------------------------+------+---------------+--------------------+----------------------+----------------+----- xx.. ox..3oo.. .... ....&#x & ♦ 2 6 | 1 6 3 6 0 | 3 6 3 2 0 0 | 3 2 0 1 0 0 0 | 12 * * * * | 2 0 xxx. oxo. .... oxo. ....&#xt & ♦ 2 10 | 1 8 5 8 8 | 4 8 4 0 4 8 | 4 0 2 0 4 0 0 | * 18 * * * | 2 0 .... oxo.3oox. oxo. ....&#xt & ♦ 1 9 | 0 6 0 12 12 | 0 9 0 3 0 18 | 0 2 3 0 0 2 3 | * * 24 * * | 1 1 .xx. .xo.3.ox. .... ....&#xt & ♦ 0 12 | 0 0 6 12 12 | 0 0 6 4 6 12 | 0 0 0 2 6 2 0 | * * * 12 * | 2 0 .xx. .xo. .... .... .ox.&#x & ♦ 0 8 | 0 0 4 4 8 | 0 0 2 0 4 8 | 0 0 0 0 4 0 2 | * * * * 18 | 2 0 --------------------------------+------+---------------+--------------------+----------------------+----------------+----- xxx. oxo.3oox. oxo. ....&#xt & ♦ 2 18 | 1 12 9 24 24 | 6 18 12 6 12 36 | 9 4 6 3 18 4 6 | 2 3 2 2 3 | 12 * .... oxoo3ooxo oxoo3ooxo&#xt ♦ 2 18 | 0 18 0 36 36 | 0 36 0 12 0 72 | 0 12 18 0 0 12 18 | 0 0 12 0 0 | * 2
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