triangle-hexagon duoprismatic prism
- more general:
- n,m-dippip
- general polytopal classes:
- Wythoffian polytera segmentotera lace simplices
links
| Acronym | trahip (old: thiddippip) |
| Name |
triangle hexagonal-prism duoprism, triangle-hexagon duoprismatic prism |
| Circumradius | sqrt(19/12) = 1.258306 |
| Volume | 9/8 = 1.125 |
| Face vector | 36, 90, 90, 45, 11 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3o x6o . . . . . | 36 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+----+----------+---------------+-------------+------ x . . . . | 2 | 18 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 36 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 36 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+----+----------+---------------+-------------+------ x x . . . | 4 | 2 2 0 | 18 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 18 * * * | 0 2 1 0 0 | 1 2 0 . x3o . . | 3 | 0 3 0 | * * 12 * * | 1 0 0 2 0 | 2 0 1 . x . x . | 4 | 0 2 2 | * * * 36 * | 0 1 0 1 1 | 1 1 1 . . . x6o | 6 | 0 0 6 | * * * * 6 | 0 0 1 0 2 | 0 2 1 ----------+----+----------+---------------+-------------+------ x x3o . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 6 * * * * | 2 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 18 * * * | 1 1 0 x . . x6o ♦ 12 | 6 0 12 | 0 6 0 0 2 | * * 3 * * | 0 2 0 . x3o x . ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * 12 * | 1 0 1 . x . x6o ♦ 12 | 0 6 12 | 0 0 0 6 2 | * * * * 6 | 0 1 1 ----------+----+----------+---------------+-------------+------ x x3o x . ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 2 0 | 6 * * x x . x6o ♦ 24 | 12 12 24 | 6 12 0 12 4 | 0 6 2 0 2 | * 3 * . x3o x6o ♦ 18 | 0 18 18 | 0 0 6 18 3 | 0 0 0 6 3 | * * 2
x o3x x3x o o3o o3o | 36 | 1 2 1 1 | 2 1 1 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 ----------+----+-------------+-------------------+---------------+-------- x . . . . | 2 | 18 * * * | 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . . x . . | 2 | * 36 * * | 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . . . x . | 2 | * * 18 * | 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x | 2 | * * * 18 | 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ----------+----+-------------+-------------------+---------------+-------- x . x . . | 4 | 2 2 0 0 | 18 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . . x . | 4 | 2 0 2 0 | * 9 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x | 4 | 2 0 0 2 | * * 9 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . o3x . . | 3 | 0 3 0 0 | * * * 12 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . . x x . | 4 | 0 2 2 0 | * * * * 18 * * | 0 1 0 0 1 0 1 | 1 0 1 1 . . x . x | 4 | 0 2 0 2 | * * * * * 18 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . . x3x | 6 | 0 0 3 3 | * * * * * * 6 | 0 0 0 1 0 0 2 | 0 0 2 1 ----------+----+-------------+-------------------+---------------+-------- x o3x . . ♦ 6 | 3 6 0 0 | 3 0 0 2 0 0 0 | 6 * * * * * * | 1 1 0 0 x . x x . ♦ 8 | 4 4 4 0 | 2 2 0 0 2 0 0 | * 9 * * * * * | 1 0 1 0 x . x . x ♦ 8 | 4 4 0 4 | 2 0 2 0 0 2 0 | * * 9 * * * * | 0 1 1 0 x . . x3x ♦ 12 | 6 0 6 6 | 0 3 3 0 0 0 2 | * * * 3 * * * | 0 0 2 0 . o3x x . ♦ 6 | 0 6 3 0 | 0 0 0 2 3 0 0 | * * * * 6 * * | 1 0 0 1 . o3x . x ♦ 6 | 0 6 0 3 | 0 0 0 2 0 3 0 | * * * * * 6 * | 0 1 0 1 . . x x3x ♦ 12 | 0 6 6 6 | 0 0 0 0 3 3 2 | * * * * * * 6 | 0 0 1 1 ----------+----+-------------+-------------------+---------------+-------- x o3x x . ♦ 12 | 6 12 6 0 | 6 3 0 4 6 0 0 | 2 3 0 0 2 0 0 | 3 * * * x o3x . x ♦ 12 | 6 12 0 6 | 6 0 3 4 0 6 0 | 2 0 3 0 0 2 0 | * 3 * * x . x x3x ♦ 24 | 12 12 12 12 | 6 6 6 0 6 6 4 | 0 3 3 2 0 0 2 | * * 3 * . o3x x3x ♦ 18 | 0 18 9 9 | 0 0 0 6 9 9 3 | 0 0 0 0 3 3 3 | * * * 2
xx3oo xx6oo&#x → height = 1
(thiddip || thiddip)
o.3o. o.6o. | 18 * | 2 2 1 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.o3.o .o6.o | * 18 | 0 0 1 2 2 | 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
---------------+-------+----------------+---------------------+----------------+--------
x. .. .. .. | 2 0 | 18 * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x. .. | 2 0 | * 18 * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
oo3oo oo6oo&#x | 1 1 | * * 18 * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.x .. .. .. | 0 2 | * * * 18 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x .. | 0 2 | * * * * 18 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. .. .. | 3 0 | 3 0 0 0 0 | 6 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 | * 18 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.6o. | 6 0 | 0 6 0 0 0 | * * 3 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 18 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 18 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * 6 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * 18 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x6.o | 0 6 | 0 0 0 0 6 | * * * * * * * 3 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. x. .. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 | 6 * * * * * * | 1 1 0 0
x. .. x.6o. ♦ 12 0 | 6 12 0 0 0 | 0 6 2 0 0 0 0 0 | * 3 * * * * * | 1 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * 6 * * * * | 0 2 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * 18 * * * | 0 1 1 0
.. .. xx6oo&#x ♦ 6 6 | 0 6 6 0 6 | 0 0 1 0 6 0 0 1 | * * * * 3 * * | 0 0 2 0
.x3.o .x .. ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * 6 * | 0 1 0 1
.x .. .x6.o ♦ 0 12 | 0 0 0 6 12 | 0 0 0 0 0 0 6 2 | * * * * * * 3 | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.3o. x.6o. ♦ 18 0 | 18 18 0 0 0 | 6 18 3 0 0 0 0 0 | 6 3 0 0 0 0 0 | 1 * * *
xx3oo xx ..&#x ♦ 6 6 | 6 3 6 6 3 | 2 3 0 6 3 2 3 0 | 1 0 2 3 0 1 0 | * 6 * *
xx .. xx6oo&#x ♦ 12 12 | 6 12 12 6 12 | 0 6 2 6 12 0 6 2 | 0 1 0 6 2 0 1 | * * 3 *
.x3.o .x6.o ♦ 0 18 | 0 0 0 18 18 | 0 0 0 0 0 6 18 3 | 0 0 0 0 0 6 3 | * * * 1
xx3oo xx3xx&#x → height = 1
(thiddip || thiddip)
o.3o. o.3o. | 18 * | 2 1 1 1 0 0 0 | 1 2 2 1 2 1 1 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 | 1 1 1 2 0
.o3.o .o3.o | * 18 | 0 0 0 1 2 1 1 | 0 0 0 0 2 1 1 1 2 2 1 | 0 0 0 1 2 2 1 1 1 2 | 0 1 1 2 1
---------------+-------+------------------+------------------------+---------------------+----------
x. .. .. .. | 2 0 | 18 * * * * * * | 1 1 1 0 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.. .. x. .. | 2 0 | * 9 * * * * * | 0 2 0 1 0 1 0 0 0 0 0 | 1 0 2 0 2 0 1 0 0 0 | 1 1 0 2 0
.. .. .. x. | 2 0 | * * 9 * * * * | 0 0 2 1 0 0 1 0 0 0 0 | 0 1 2 0 0 2 1 0 0 0 | 1 0 1 2 0
oo3oo oo3oo&#x | 1 1 | * * * 18 * * * | 0 0 0 0 2 1 1 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 1 1 2 0
.x .. .. .. | 0 2 | * * * * 18 * * | 0 0 0 0 1 0 0 1 1 1 0 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
.. .. .x .. | 0 2 | * * * * * 9 * | 0 0 0 0 0 1 0 0 2 0 1 | 0 0 0 0 2 0 1 1 0 2 | 0 1 0 2 1
.. .. .. .x | 0 2 | * * * * * * 9 | 0 0 0 0 0 0 1 0 0 2 1 | 0 0 0 0 0 2 1 0 1 2 | 0 0 1 2 1
---------------+-------+------------------+------------------------+---------------------+----------
x.3o. .. .. | 3 0 | 3 0 0 0 0 0 0 | 6 * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 0 0 | * 9 * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * * 9 * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
.. .. x.3x. | 6 0 | 0 3 3 0 0 0 0 | * * * 3 * * * * * * * | 0 0 2 0 0 0 1 0 0 0 | 1 0 0 2 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * 18 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.. .. xx ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * 9 * * * * * | 0 0 0 0 2 0 1 0 0 0 | 0 1 0 2 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * 9 * * * * | 0 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0
.x3.o .. .. | 0 3 | 0 0 0 0 3 0 0 | * * * * * * * 6 * * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.x .. .x .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * * 9 * * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 9 * | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * 3 | 0 0 0 0 0 0 1 0 0 2 | 0 0 0 2 1
---------------+-------+------------------+------------------------+---------------------+----------
x.3o. x. .. ♦ 6 0 | 6 3 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * | 1 1 0 0 0
x.3o. .. x. ♦ 6 0 | 6 0 3 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0
x. .. x.3x. ♦ 12 0 | 6 6 6 0 0 0 0 | 0 3 3 2 0 0 0 0 0 0 0 | * * 3 * * * * * * * | 1 0 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 0 3 3 0 0 | 1 0 0 0 3 0 0 1 0 0 0 | * * * 6 * * * * * * | 0 1 1 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 0 4 2 2 0 | 0 1 0 0 2 2 0 0 1 0 0 | * * * * 9 * * * * * | 0 1 0 1 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 0 1 0 2 0 2 0 0 1 0 | * * * * * 9 * * * * | 0 0 1 1 0
.. .. xx3xx&#x ♦ 6 6 | 0 3 3 6 0 3 3 | 0 0 0 1 0 3 3 0 0 0 1 | * * * * * * 3 * * * | 0 0 0 2 0
.x3.o .x .. ♦ 0 6 | 0 0 0 0 6 3 0 | 0 0 0 0 0 0 0 2 3 0 0 | * * * * * * * 3 * * | 0 1 0 0 1
.x3.o .. .x ♦ 0 6 | 0 0 0 0 6 0 3 | 0 0 0 0 0 0 0 2 0 3 0 | * * * * * * * * 3 * | 0 0 1 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * 3 | 0 0 0 1 1
---------------+-------+------------------+------------------------+---------------------+----------
x.3o. x.3x. ♦ 18 0 | 18 9 9 0 0 0 0 | 6 9 9 3 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 | 1 * * * *
xx3oo xx ..&#x ♦ 6 6 | 6 3 0 6 6 3 0 | 2 3 0 0 6 3 0 2 3 0 0 | 1 0 0 2 3 0 0 1 0 0 | * 3 * * *
xx3oo .. xx&#x ♦ 6 6 | 6 0 3 6 6 0 3 | 2 0 3 0 6 0 3 2 0 3 0 | 0 1 0 2 0 3 0 0 1 0 | * * 3 * *
xx .. xx3xx&#x ♦ 12 12 | 6 6 6 12 6 6 6 | 0 3 3 2 6 6 6 0 3 3 2 | 0 0 1 0 3 3 2 0 0 1 | * * * 3 *
.x3.o .x3.x ♦ 0 18 | 0 0 0 0 18 9 9 | 0 0 0 0 0 0 0 6 9 9 3 | 0 0 0 0 0 0 0 3 3 3 | * * * * 1
ox xx xx6oo&#x → height = sqrt(3)/2 = 0.866025
(hip || shiddip)
o. o. o.6o. | 12 * | 1 2 2 0 0 0 | 2 1 1 2 4 0 0 0 0 | 1 1 2 4 2 0 0 0 | 2 1 2 0
.o .o .o6.o | * 24 | 0 0 1 1 1 2 | 0 0 1 1 2 1 2 2 1 | 0 1 2 2 1 2 1 1 | 2 1 1 1
---------------+-------+------------------+------------------------+-------------------+--------
.. x. .. .. | 2 0 | 6 * * * * * | 2 0 0 2 0 0 0 0 0 | 1 1 0 4 0 0 0 0 | 2 0 2 0
.. .. x. .. | 2 0 | * 12 * * * * | 1 1 0 0 2 0 0 0 0 | 1 0 1 2 2 0 0 0 | 1 1 2 0
oo oo oo6oo&#x | 1 1 | * * 24 * * * | 0 0 1 1 2 0 0 0 0 | 0 1 2 2 1 0 0 0 | 2 1 1 0
.x .. .. .. | 0 2 | * * * 12 * * | 0 0 1 0 0 1 2 0 0 | 0 1 2 0 0 2 1 0 | 2 1 0 1
.. .x .. .. | 0 2 | * * * * 12 * | 0 0 0 1 0 1 0 2 0 | 0 1 0 2 0 2 0 1 | 2 0 1 1
.. .. .x .. | 0 2 | * * * * * 24 | 0 0 0 0 1 0 1 1 1 | 0 0 1 1 1 1 1 1 | 1 1 1 1
---------------+-------+------------------+------------------------+-------------------+--------
.. x. x. .. | 4 0 | 2 2 0 0 0 0 | 6 * * * * * * * * | 1 0 0 2 0 0 0 0 | 1 0 2 0
.. .. x.6o. | 6 0 | 0 6 0 0 0 0 | * 2 * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * 12 * * * * * * | 0 1 2 0 0 0 0 0 | 2 1 0 0
.. xx .. ..&#x | 2 2 | 1 0 2 0 1 0 | * * * 12 * * * * * | 0 1 0 2 0 0 0 0 | 2 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 0 1 | * * * * 24 * * * * | 0 0 1 1 1 0 0 0 | 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 2 2 0 | * * * * * 6 * * * | 0 1 0 0 0 2 0 0 | 2 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 0 2 | * * * * * * 12 * * | 0 0 1 0 0 1 1 0 | 1 1 0 1
.. .x .x .. | 0 4 | 0 0 0 0 2 2 | * * * * * * * 12 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x6.o | 0 6 | 0 0 0 0 0 6 | * * * * * * * * 4 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------+-------+------------------+------------------------+-------------------+--------
.. x. x.6o. ♦ 12 0 | 6 12 0 0 0 0 | 6 2 0 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox xx .. ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 0 2 2 0 1 0 0 0 | * 6 * * * * * * | 2 0 0 0
ox .. xx ..&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 0 2 0 2 0 1 0 0 | * * 12 * * * * * | 1 1 0 0
.. xx xx ..&#x ♦ 4 4 | 2 2 4 0 2 2 | 1 0 0 2 2 0 0 1 0 | * * * 12 * * * * | 1 0 1 0
.. .. xx6oo&#x ♦ 6 6 | 0 6 6 0 0 6 | 0 1 0 0 6 0 0 0 1 | * * * * 4 * * * | 0 1 1 0
.x .x .x .. ♦ 0 8 | 0 0 0 4 4 4 | 0 0 0 0 0 2 2 2 0 | * * * * * 6 * * | 1 0 0 1
.x .. .x6.o ♦ 0 12 | 0 0 0 6 0 12 | 0 0 0 0 0 0 6 0 2 | * * * * * * 2 * | 0 1 0 1
.. .x .x6.o ♦ 0 12 | 0 0 0 0 6 12 | 0 0 0 0 0 0 0 6 2 | * * * * * * * 2 | 0 0 1 1
---------------+-------+------------------+------------------------+-------------------+--------
ox xx xx ..&#x ♦ 4 8 | 2 2 8 4 4 4 | 1 0 4 4 4 2 2 2 0 | 0 2 2 2 0 1 0 0 | 6 * * *
ox .. xx6oo&#x ♦ 6 12 | 0 6 12 6 0 12 | 0 1 6 0 12 0 6 0 2 | 0 0 6 0 2 0 1 0 | * 2 * *
.. xx xx6oo&#x ♦ 12 12 | 6 12 12 0 6 12 | 6 2 0 6 12 0 0 6 2 | 1 0 0 6 2 0 0 1 | * * 2 *
.x .x .x6.o ♦ 0 24 | 0 0 0 12 12 24 | 0 0 0 0 0 6 12 12 4 | 0 0 0 0 0 6 2 2 | * * * 1
ox xx xx3xx&#x → height = sqrt(3)/2 = 0.866025
(hip || shiddip)
o. o. o.3o. | 12 * | 1 1 1 2 0 0 0 0 | 1 1 1 1 2 2 2 0 0 0 0 0 0 | 1 1 1 1 2 2 2 0 0 0 0 | 1 1 1 2 0
.o .o .o3.o | * 24 | 0 0 0 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
---------------+-------+----------------------+-------------------------------+-----------------------+----------
.. x. .. .. | 2 0 | 6 * * * * * * * | 1 1 0 0 2 0 0 0 0 0 0 0 0 | 1 1 0 0 2 2 0 0 0 0 0 | 1 1 0 2 0
.. .. x. .. | 2 0 | * 6 * * * * * * | 1 0 1 0 0 2 0 0 0 0 0 0 0 | 1 0 1 0 2 0 2 0 0 0 0 | 1 0 1 2 0
.. .. .. x. | 2 0 | * * 6 * * * * * | 0 1 1 0 0 0 2 0 0 0 0 0 0 | 1 0 0 1 0 2 2 0 0 0 0 | 0 1 1 2 0
oo oo oo3oo&#x | 1 1 | * * * 24 * * * * | 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.x .. .. .. | 0 2 | * * * * 12 * * * | 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.. .x .. .. | 0 2 | * * * * * 12 * * | 0 0 0 0 1 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * * 12 * | 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * * 12 | 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
---------------+-------+----------------------+-------------------------------+-----------------------+----------
.. x. x. .. | 4 0 | 2 2 0 0 0 0 0 0 | 3 * * * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 1 0 0 2 0
.. x. .. x. | 4 0 | 2 0 2 0 0 0 0 0 | * 3 * * * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 0 | 0 1 0 2 0
.. .. x.3x. | 6 0 | 0 3 3 0 0 0 0 0 | * * 2 * * * * * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 | 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 0 2 1 0 0 0 | * * * 12 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.. xx .. ..&#x | 2 2 | 1 0 0 2 0 1 0 0 | * * * * 12 * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 0 2 0 0 1 0 | * * * * * 12 * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 0 1 | * * * * * * 12 * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 0 2 2 0 0 | * * * * * * * 6 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 0 2 0 2 0 | * * * * * * * * 6 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 0 2 | * * * * * * * * * 6 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
.. .x .x .. | 0 4 | 0 0 0 0 0 2 2 0 | * * * * * * * * * * 6 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 0 2 0 2 | * * * * * * * * * * * 6 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+-------+----------------------+-------------------------------+-----------------------+----------
.. x. x.3x. ♦ 12 0 | 6 6 6 0 0 0 0 0 | 3 3 2 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 0 2 0
ox xx .. ..&#x ♦ 2 4 | 1 0 0 4 2 2 0 0 | 0 0 0 2 2 0 0 1 0 0 0 0 0 | * 6 * * * * * * * * * | 1 1 0 0 0
ox .. xx ..&#x ♦ 2 4 | 0 1 0 4 2 0 2 0 | 0 0 0 2 0 2 0 0 1 0 0 0 0 | * * 6 * * * * * * * * | 1 0 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 0 1 4 2 0 0 2 | 0 0 0 2 0 0 2 0 0 1 0 0 0 | * * * 6 * * * * * * * | 0 1 1 0 0
.. xx xx ..&#x ♦ 4 4 | 2 2 0 4 0 2 2 0 | 1 0 0 0 2 2 0 0 0 0 1 0 0 | * * * * 6 * * * * * * | 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 2 0 2 4 0 2 0 2 | 0 1 0 0 2 0 2 0 0 0 0 1 0 | * * * * * 6 * * * * * | 0 1 0 1 0
.. .. xx3xx&#x ♦ 6 6 | 0 3 3 6 0 0 3 3 | 0 0 1 0 0 3 3 0 0 0 0 0 1 | * * * * * * 4 * * * * | 0 0 1 1 0
.x .x .x .. ♦ 0 8 | 0 0 0 0 4 4 4 0 | 0 0 0 0 0 0 0 2 2 0 2 0 0 | * * * * * * * 3 * * * | 1 0 0 0 1
.x .x .. .x ♦ 0 8 | 0 0 0 0 4 4 0 4 | 0 0 0 0 0 0 0 2 0 2 0 2 0 | * * * * * * * * 3 * * | 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 0 6 0 6 6 | 0 0 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * 2 * | 0 0 1 0 1
.. .x .x3.x ♦ 0 12 | 0 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * * 2 | 0 0 0 1 1
---------------+-------+----------------------+-------------------------------+-----------------------+----------
ox xx xx ..&#x ♦ 4 8 | 2 2 0 8 4 4 4 0 | 1 0 0 4 4 4 0 2 2 0 2 0 0 | 0 2 2 0 2 0 0 1 0 0 0 | 3 * * * *
ox xx .. xx&#x ♦ 4 8 | 2 0 2 8 4 4 0 4 | 0 1 0 4 4 0 4 2 0 2 0 2 0 | 0 2 0 2 0 2 0 0 1 0 0 | * 3 * * *
ox .. xx3xx&#x ♦ 6 12 | 0 3 3 12 6 0 6 6 | 0 0 1 6 0 6 6 0 3 3 0 0 2 | 0 0 3 3 0 0 2 0 0 1 0 | * * 2 * *
.. xx xx3xx&#x ♦ 12 12 | 6 6 6 12 0 6 6 6 | 3 3 2 0 6 6 6 0 0 0 3 3 2 | 1 0 0 0 3 3 2 0 0 0 1 | * * * 2 *
.x .x .x3.x ♦ 0 24 | 0 0 0 0 12 12 12 12 | 0 0 0 0 0 0 0 6 6 6 6 6 4 | 0 0 0 0 0 0 0 3 3 2 2 | * * * * 1
xxx xxx3xxx&#x → all pairwise heights = 1 o.. o..3o.. | 12 * * | 1 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 0 .o. .o.3.o. | * 12 * | 0 0 0 1 0 1 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 | 1 0 1 1 1 1 ..o ..o3..o | * * 12 | 0 0 0 0 1 0 0 0 1 1 1 1 | 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1 ---------------+----------+----------------------------+----------------------------------------+-------------------------------+------------ x.. ... ... | 2 0 0 | 6 * * * * * * * * * * * | 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0 ... x.. ... | 2 0 0 | * 6 * * * * * * * * * * | 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 | 1 1 1 0 1 0 ... ... x.. | 2 0 0 | * * 6 * * * * * * * * * | 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0 | 1 1 0 1 1 0 oo. oo.3oo.&#x | 1 1 0 | * * * 12 * * * * * * * * | 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 | 1 0 1 1 1 0 o.o o.o3o.o&#x | 1 0 1 | * * * * 12 * * * * * * * | 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0 .x. ... ... | 0 2 0 | * * * * * 6 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 | 1 0 1 1 0 1 ... .x. ... | 0 2 0 | * * * * * * 6 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 | 1 0 1 0 1 1 ... ... .x. | 0 2 0 | * * * * * * * 6 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 | 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 | 1 0 0 1 1 1 .oo .oo3.oo&#x | 0 1 1 | * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 | 0 0 1 1 1 1 ..x ... ... | 0 0 2 | * * * * * * * * * 6 * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 | 0 1 1 1 0 1 ... ..x ... | 0 0 2 | * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 | 0 1 1 0 1 1 ... ... ..x | 0 0 2 | * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 | 0 1 0 1 1 1 ---------------+----------+----------------------------+----------------------------------------+-------------------------------+------------ x.. x.. ... | 4 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x.. ... x.. | 4 0 0 | 2 0 2 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 ... x..3x.. | 6 0 0 | 0 3 3 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0 xx. ... ...&#x | 2 2 0 | 1 0 0 2 0 1 0 0 0 0 0 0 | * * * 6 * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 ... xx. ...&#x | 2 2 0 | 0 1 0 2 0 0 1 0 0 0 0 0 | * * * * 6 * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0 ... ... xx.&#x | 2 2 0 | 0 0 1 2 0 0 0 1 0 0 0 0 | * * * * * 6 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 x.x ... ...&#x | 2 0 2 | 1 0 0 0 2 0 0 0 0 1 0 0 | * * * * * * 6 * * * * * * * * * * * * | 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 ... x.x ...&#x | 2 0 2 | 0 1 0 0 2 0 0 0 0 0 1 0 | * * * * * * * 6 * * * * * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 | 0 1 1 0 1 0 ... ... x.x&#x | 2 0 2 | 0 0 1 0 2 0 0 0 0 0 0 1 | * * * * * * * * 6 * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 | 0 1 0 1 1 0 ooo ooo3ooo&#x | 1 1 1 | 0 0 0 1 1 0 0 0 1 0 0 0 | * * * * * * * * * 12 * * * * * * * * * | 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0 .x. .x. ... | 0 4 0 | 0 0 0 0 0 2 2 0 0 0 0 0 | * * * * * * * * * * 3 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 0 1 0 0 1 .x. ... .x. | 0 4 0 | 0 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * * * 3 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 0 1 0 1 ... .x.3.x. | 0 6 0 | 0 0 0 0 0 0 3 3 0 0 0 0 | * * * * * * * * * * * * 2 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 0 1 1 .xx ... ...&#x | 0 2 2 | 0 0 0 0 0 1 0 0 2 1 0 0 | * * * * * * * * * * * * * 6 * * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 1 1 0 1 ... .xx ...&#x | 0 2 2 | 0 0 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * * * * * * 6 * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 | 0 0 1 0 1 1 ... ... .xx&#x | 0 2 2 | 0 0 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 1 ..x ..x ... | 0 0 4 | 0 0 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * * * * 3 * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 | 0 1 1 0 0 1 ..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * * * 3 * | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 | 0 1 0 1 0 1 ... ..x3..x | 0 0 6 | 0 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 1 0 0 1 1 ---------------+----------+----------------------------+----------------------------------------+-------------------------------+------------ x.. x..3x.. ♦ 12 0 0 | 6 6 6 0 0 0 0 0 0 0 0 0 | 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 1 0 0 0 0 xx. xx. ...&#x ♦ 4 4 0 | 2 2 0 4 0 2 2 0 0 0 0 0 | 1 0 0 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * | 1 0 1 0 0 0 xx. ... xx.&#x ♦ 4 4 0 | 2 0 2 4 0 2 0 2 0 0 0 0 | 0 1 0 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * | 1 0 0 1 0 0 ... xx.3xx.&#x ♦ 6 6 0 | 0 3 3 6 0 0 3 3 0 0 0 0 | 0 0 1 0 3 3 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 2 * * * * * * * * * * * | 1 0 0 0 1 0 x.x x.x ...&#x ♦ 4 0 4 | 2 2 0 0 4 0 0 0 0 2 2 0 | 1 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 1 0 0 | * * * * 3 * * * * * * * * * * | 0 1 1 0 0 0 x.x ... x.x&#x ♦ 4 0 4 | 2 0 2 0 4 0 0 0 0 2 0 2 | 0 1 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 1 0 | * * * * * 3 * * * * * * * * * | 0 1 0 1 0 0 ... x.x3x.x&#x ♦ 6 0 6 | 0 3 3 0 6 0 0 0 0 0 3 3 | 0 0 1 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 1 | * * * * * * 2 * * * * * * * * | 0 1 0 0 1 0 xxx ... ...&#x ♦ 2 2 2 | 1 0 0 2 2 1 0 0 2 1 0 0 | 0 0 0 1 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 | * * * * * * * 6 * * * * * * * | 0 0 1 1 0 0 ... xxx ...&#x ♦ 2 2 2 | 0 1 0 2 2 0 1 0 2 0 1 0 | 0 0 0 0 1 0 0 1 0 2 0 0 0 0 1 0 0 0 0 | * * * * * * * * 6 * * * * * * | 0 0 1 0 1 0 ... ... xxx&#x ♦ 2 2 2 | 0 0 1 2 2 0 0 1 2 0 0 1 | 0 0 0 0 0 1 0 0 1 2 0 0 0 0 0 1 0 0 0 | * * * * * * * * * 6 * * * * * | 0 0 0 1 1 0 .x. .x.3.x. ♦ 0 12 0 | 0 0 0 0 0 6 6 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1 .xx .xx ...&#x ♦ 0 4 4 | 0 0 0 0 0 2 2 0 4 2 2 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 1 0 0 | * * * * * * * * * * * 3 * * * | 0 0 1 0 0 1 .xx ... .xx&#x ♦ 0 4 4 | 0 0 0 0 0 2 0 2 4 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 0 1 0 | * * * * * * * * * * * * 3 * * | 0 0 0 1 0 1 ... .xx3.xx&#x ♦ 0 6 6 | 0 0 0 0 0 0 3 3 6 0 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 3 0 0 1 | * * * * * * * * * * * * * 2 * | 0 0 0 0 1 1 ..x ..x3..x ♦ 0 0 12 | 0 0 0 0 0 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * * * * * * 1 | 0 1 0 0 0 1 ---------------+----------+----------------------------+----------------------------------------+-------------------------------+------------ xx. xx.3xx.&#x ♦ 12 12 0 | 6 6 6 12 0 6 6 6 0 0 0 0 | 3 3 2 6 6 6 0 0 0 0 3 3 2 0 0 0 0 0 0 | 1 3 3 2 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * * x.x x.x3x.x&#x ♦ 12 0 12 | 6 6 6 0 12 0 0 0 0 6 6 6 | 3 3 2 0 0 0 6 6 6 0 0 0 0 0 0 0 3 3 2 | 1 0 0 0 3 3 2 0 0 0 0 0 0 0 1 | * 1 * * * * xxx xxx ...&#x ♦ 4 4 4 | 2 2 0 4 4 2 2 0 4 2 2 0 | 1 0 0 2 2 0 2 2 0 4 1 0 0 2 2 0 1 0 0 | 0 1 0 0 1 0 0 2 2 0 0 1 0 0 0 | * * 3 * * * xxx ... xxx&#x ♦ 4 4 4 | 2 0 2 4 4 2 0 2 4 2 0 2 | 0 1 0 2 0 2 2 0 2 4 0 1 0 2 0 2 0 1 0 | 0 0 1 0 0 1 0 2 0 2 0 0 1 0 0 | * * * 3 * * ... xxx3xxx&#x ♦ 6 6 6 | 0 3 3 6 6 0 3 3 6 0 3 3 | 0 0 1 0 3 3 0 3 3 6 0 0 1 0 3 3 0 0 1 | 0 0 0 1 0 0 1 0 3 3 0 0 0 1 0 | * * * * 2 * .xx .xx3.xx&#x ♦ 0 12 12 | 0 0 0 0 0 6 6 6 12 6 6 6 | 0 0 0 0 0 0 0 0 0 0 3 3 2 6 6 6 3 3 2 | 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 | * * * * * 1
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