hexacross prism,
vertex figure of rek
- general polytopal classes:
- Wythoffian polyexa segmentoexa
links
| Acronym | geep |
| Name |
hexacontitetrapeton prism, hexacross prism, vertex figure of rek |
| Circumradius | sqrt(3)/2 = 0.866025 |
| Coordinates | (1/sqrt(2), 0, 0, 0, 0, 0; 1/2) & all permutations in all but last coord., all changes of sign |
| Volume | 1/90 = 0.011111 |
| Face vector | 24, 132, 380, 640, 624, 320, 66 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3o3o3o3o4o . . . . . . . | 24 | 1 10 | 10 40 | 40 80 | 80 80 | 80 32 | 32 1 --------------+----+--------+--------+---------+---------+---------+----- x . . . . . . | 2 | 12 * ♦ 10 0 | 40 0 | 80 0 | 80 0 | 32 0 . x . . . . . | 2 | * 120 | 1 8 | 8 24 | 24 32 | 32 16 | 16 1 --------------+----+--------+--------+---------+---------+---------+----- x x . . . . . | 4 | 2 2 | 60 * ♦ 8 0 | 24 0 | 32 0 | 16 0 . x3o . . . . | 3 | 0 3 | * 320 | 1 6 | 6 12 | 12 8 | 8 1 --------------+----+--------+--------+---------+---------+---------+----- x x3o . . . . ♦ 6 | 3 6 | 3 2 | 160 * ♦ 6 0 | 12 0 | 8 0 . x3o3o . . . ♦ 4 | 0 6 | 0 4 | * 480 | 1 4 | 4 4 | 4 1 --------------+----+--------+--------+---------+---------+---------+----- x x3o3o . . . ♦ 8 | 4 12 | 6 8 | 4 2 | 240 * | 4 0 | 4 0 . x3o3o3o . . ♦ 5 | 0 10 | 0 10 | 0 5 | * 384 | 1 2 | 2 1 --------------+----+--------+--------+---------+---------+---------+----- x x3o3o3o . . ♦ 10 | 5 20 | 10 20 | 10 10 | 5 2 | 192 * | 2 0 . x3o3o3o3o . ♦ 6 | 0 15 | 0 20 | 0 15 | 0 6 | * 128 | 1 1 --------------+----+--------+--------+---------+---------+---------+----- x x3o3o3o3o . ♦ 12 | 6 30 | 15 40 | 20 30 | 15 12 | 6 2 | 64 * . x3o3o3o3o4o ♦ 12 | 0 60 | 0 160 | 0 240 | 0 192 | 0 64 | * 2
x o3o3o *c3o3o3x . . . . . . . | 24 | 1 10 | 10 40 | 40 80 | 80 80 | 80 16 16 | 16 16 1 -----------------+----+--------+--------+---------+---------+-----------+-------- x . . . . . . | 2 | 12 * ♦ 10 0 | 40 0 | 80 0 | 80 0 0 | 16 16 0 . . . . . . x | 2 | * 120 | 1 8 | 8 24 | 24 32 | 32 8 8 | 8 8 1 -----------------+----+--------+--------+---------+---------+-----------+-------- x . . . . . x | 4 | 2 2 | 60 * ♦ 8 0 | 24 0 | 32 0 0 | 8 8 0 . . . . . o3x | 3 | 0 3 | * 320 | 1 6 | 6 12 | 12 4 4 | 4 4 1 -----------------+----+--------+--------+---------+---------+-----------+-------- x . . . . o3x ♦ 6 | 3 6 | 3 2 | 160 * ♦ 6 0 | 12 0 0 | 4 4 0 . . . . o3o3x ♦ 4 | 0 6 | 0 4 | * 480 | 1 4 | 4 2 2 | 2 2 1 -----------------+----+--------+--------+---------+---------+-----------+-------- x . . . o3o3x ♦ 8 | 4 12 | 6 8 | 4 2 | 240 * | 4 0 0 | 2 2 0 . . o . *c3o3o3x ♦ 5 | 0 10 | 0 10 | 0 5 | * 384 | 1 1 1 | 1 1 1 -----------------+----+--------+--------+---------+---------+-----------+-------- x . o . *c3o3o3x ♦ 10 | 5 20 | 10 20 | 10 10 | 5 2 | 192 * * | 1 1 0 . o3o . *c3o3o3x ♦ 6 | 0 15 | 0 20 | 0 15 | 0 6 | * 64 * | 1 0 1 . . o3o *c3o3o3x ♦ 6 | 0 15 | 0 20 | 0 15 | 0 6 | * * 64 | 0 1 1 -----------------+----+--------+--------+---------+---------+-----------+-------- x o3o . *c3o3o3x ♦ 12 | 6 30 | 15 40 | 20 30 | 15 12 | 6 2 0 | 32 * * x . o3o *c3o3o3x ♦ 12 | 6 30 | 15 40 | 20 30 | 15 12 | 6 0 2 | * 32 * . o3o3o *c3o3o3x ♦ 12 | 0 60 | 0 160 | 0 240 | 0 192 | 0 32 32 | * * 2
xx3oo3oo3oo3oo4oo&#x → height = 1
(gee || gee)
o.3o.3o.3o.3o.4o. | 12 * | 10 1 0 | 40 10 0 | 80 40 0 | 80 80 0 | 32 80 0 | 1 32 0
.o3.o3.o3.o3.o4.o | * 12 | 0 1 10 | 0 10 40 | 0 40 80 | 0 80 80 | 0 80 32 | 0 32 1
---------------------+-------+----------+------------+-------------+-------------+-----------+-------
x. .. .. .. .. .. | 2 0 | 60 * * | 8 1 0 | 24 8 0 | 32 24 0 | 16 32 0 | 1 16 0
oo3oo3oo3oo3oo4oo&#x | 1 1 | * 12 * ♦ 0 10 0 | 0 40 0 | 0 80 0 | 0 80 0 | 0 32 0
.x .. .. .. .. .. | 0 2 | * * 60 | 0 1 8 | 0 8 24 | 0 24 32 | 0 32 16 | 0 16 1
---------------------+-------+----------+------------+-------------+-------------+-----------+-------
x.3o. .. .. .. .. | 3 0 | 3 0 0 | 160 * * | 6 1 0 | 12 6 0 | 8 12 0 | 1 8 0
xx .. .. .. .. ..&#x | 2 2 | 1 2 1 | * 60 * ♦ 0 8 0 | 0 24 0 | 0 32 0 | 0 16 0
.x3.o .. .. .. .. | 0 3 | 0 0 3 | * * 160 | 0 1 6 | 0 6 12 | 0 12 8 | 0 8 1
---------------------+-------+----------+------------+-------------+-------------+-----------+-------
x.3o.3o. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 | 240 * * | 4 1 0 | 4 4 0 | 1 4 0
xx3oo .. .. .. ..&#x ♦ 3 3 | 3 3 3 | 1 3 1 | * 160 * ♦ 0 6 0 | 0 12 0 | 0 8 0
.x3.o3.o .. .. .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 240 | 0 1 4 | 0 4 4 | 0 4 1
---------------------+-------+----------+------------+-------------+-------------+-----------+-------
x.3o.3o.3o. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | 192 * * | 2 1 0 | 1 2 0
xx3oo3oo .. .. ..&#x ♦ 4 4 | 6 4 6 | 4 6 4 | 1 4 1 | * 240 * | 0 4 0 | 0 4 0
.x3.o3.o3.o .. .. ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * 192 | 0 1 2 | 0 2 1
---------------------+-------+----------+------------+-------------+-------------+-----------+-------
x.3o.3o.3o.3o. .. ♦ 6 0 | 15 0 0 | 20 0 0 | 15 0 0 | 6 0 0 | 64 * * | 1 1 0
xx3oo3oo3oo .. ..&#x ♦ 5 5 | 10 5 10 | 10 10 10 | 5 10 5 | 1 5 1 | * 192 * | 0 2 0
.x3.o3.o3.o3.o .. ♦ 0 6 | 0 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * 64 | 0 1 1
---------------------+-------+----------+------------+-------------+-------------+-----------+-------
x.3o.3o.3o.3o.4o. ♦ 12 0 | 60 0 0 | 160 0 0 | 240 0 0 | 192 0 0 | 64 0 0 | 1 * *
xx3oo3oo3oo3oo ..&#x ♦ 6 6 | 15 6 15 | 20 15 20 | 15 20 15 | 6 15 6 | 1 6 1 | * 64 *
.x3.o3.o3.o3.o4.o ♦ 0 12 | 0 0 60 | 0 0 160 | 0 0 240 | 0 0 192 | 0 0 64 | * * 1
oo3oo3oo *b3oo3oo3xx&#x → height = 1
(gee || gee)
o.3o.3o. *b3o.3o.3o. | 12 * | 10 1 0 | 40 10 0 | 80 40 0 | 80 80 0 | 16 16 80 0 0 | 1 16 16 0
.o3.o3.o *b3.o3.o3.o | * 12 | 0 1 10 | 0 10 40 | 0 40 80 | 0 80 80 | 0 0 80 16 16 | 0 16 16 1
------------------------+-------+----------+------------+-------------+-------------+-----------------+----------
.. .. .. .. .. x. | 2 0 | 60 * * | 8 1 0 | 24 8 0 | 32 24 0 | 8 8 32 0 0 | 1 8 8 0
oo3oo3oo *b3oo3oo3oo&#x | 1 1 | * 12 * ♦ 0 10 0 | 0 40 0 | 0 80 0 | 0 0 80 0 0 | 0 16 16 0
.. .. .. .. .. .x | 0 2 | * * 60 | 0 1 8 | 0 8 24 | 0 24 32 | 0 0 32 8 8 | 0 8 8 1
------------------------+-------+----------+------------+-------------+-------------+-----------------+----------
.. .. .. .. o.3x. | 3 0 | 3 0 0 | 160 * * | 6 1 0 | 12 8 0 | 4 4 12 0 0 | 1 4 4 0
.. .. .. .. .. xx&#x | 2 2 | 1 2 1 | * 60 * ♦ 0 8 0 | 0 24 0 | 0 0 32 0 0 | 0 8 8 0
.. .. .. .. .o3.x | 0 3 | 0 0 3 | * * 160 | 0 1 6 | 0 6 12 | 0 0 12 4 4 | 0 4 4 1
------------------------+-------+----------+------------+-------------+-------------+-----------------+----------
.. .. .. o.3o.3x. ♦ 4 0 | 6 0 0 | 4 0 0 | 240 * * | 4 1 0 | 2 2 4 0 0 | 1 2 2 0
.. .. .. .. oo3xx&#x ♦ 3 3 | 3 3 3 | 1 3 1 | * 160 * ♦ 0 6 0 | 0 0 12 0 0 | 0 4 4 0
.. .. .. .o3.o3.x ♦ 0 4 | 0 0 6 | 0 0 4 | * * 240 | 0 1 4 | 0 0 4 2 2 | 0 2 2 1
------------------------+-------+----------+------------+-------------+-------------+-----------------+----------
.. o. .. *b3o.3o.3x. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | 192 * * | 1 1 1 0 0 | 1 1 1 0
.. .. .. oo3oo3xx&#x ♦ 4 4 | 6 4 6 | 4 6 4 | 1 4 1 | * 240 * | 0 0 4 0 0 | 0 2 2 0
.. .o .. *b3.o3.o3.x ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * 192 | 0 0 1 1 1 | 0 1 1 1
------------------------+-------+----------+------------+-------------+-------------+-----------------+----------
o.3o. .. *b3o.3o.3x. ♦ 6 0 | 15 0 0 | 20 0 0 | 15 0 0 | 6 0 0 | 32 * * * * | 1 1 0 0
.. o.3o. *b3o.3o.3x. ♦ 6 0 | 15 0 0 | 20 0 0 | 15 0 0 | 6 0 0 | * 32 * * * | 1 0 1 0
.. oo .. *b3oo3oo3xx&#x ♦ 5 5 | 10 5 10 | 10 10 10 | 5 10 5 | 1 5 1 | * * 192 * * | 0 1 1 0
.o3.o .. *b3.o3.o3.x ♦ 0 6 | 0 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * * 32 * | 0 1 0 1
.. .o3.o *b3.o3.o3.x ♦ 0 6 | 0 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * * * 32 | 0 0 1 1
------------------------+-------+----------+------------+-------------+-------------+-----------------+----------
o.3o.3o. *b3.o3.o3.x ♦ 12 0 | 60 0 0 | 160 0 0 | 240 0 0 | 192 0 0 | 32 32 0 0 0 | 1 * * *
oo3oo .. *b3oo3oo3xx&#x ♦ 6 6 | 15 6 15 | 20 15 20 | 15 20 15 | 6 15 6 | 1 0 6 1 0 | * 32 * *
.. oo3oo *b3oo3oo3xx&#x ♦ 6 6 | 15 6 15 | 20 15 20 | 15 20 15 | 6 15 6 | 0 1 6 0 1 | * * 32 *
.o3.o3.o *b3.o3.o3.x ♦ 0 12 | 0 0 60 | 0 0 160 | 0 0 240 | 0 0 192 | 0 0 0 32 32 | * * * 1
xx xo3oo3oo3oo3ox&#x → height = 1/sqrt(3) = 0.577350
(hixip || inv hixip)
o. o.3o.3o.3o.3o. & | 24 | 1 5 5 | 5 10 5 30 | 10 10 30 40 30 | 10 5 40 30 25 50 | 5 1 25 50 6 15 10 | 1 6 15 10 1
------------------------+----+----------+--------------+-------------------+----------------------+----------------------+-------------
x. .. .. .. .. .. & | 2 | 12 * * ♦ 5 0 5 0 | 10 0 30 0 0 | 10 0 40 30 0 0 | 5 0 25 50 0 0 0 | 1 6 15 10 0
.. x. .. .. .. .. & | 2 | * 60 * | 1 4 0 4 | 4 6 4 12 6 | 6 4 12 6 12 16 | 4 1 12 16 4 7 4 | 1 4 7 4 1
oo oo3oo3oo3oo3oo&#x | 2 | * * 60 | 0 0 1 8 | 0 0 8 12 12 | 0 0 12 12 8 24 | 0 0 8 24 2 8 6 | 0 2 8 6 1
------------------------+----+----------+--------------+-------------------+----------------------+----------------------+-------------
x. x. .. .. .. .. & | 4 | 2 2 0 | 30 * * * ♦ 4 0 4 0 0 | 6 0 12 6 0 0 | 4 0 12 16 0 0 0 | 1 4 7 4 0
.. x.3o. .. .. .. & | 3 | 0 3 0 | * 80 * * | 1 3 0 3 0 | 3 3 3 0 6 3 | 3 1 6 3 3 3 1 | 1 3 3 1 1
xx .. .. .. .. ..&#x | 4 | 2 0 2 | * * 30 * ♦ 0 0 8 0 0 | 0 0 12 12 0 0 | 0 0 8 24 0 0 0 | 0 2 8 6 0
.. xo .. .. .. ..&#x & | 3 | 0 1 2 | * * * 240 | 0 0 1 3 3 | 0 0 3 3 3 9 | 0 0 3 9 1 4 3 | 0 1 4 3 1
------------------------+----+----------+--------------+-------------------+----------------------+----------------------+-------------
x. x.3o. .. .. .. & ♦ 6 | 3 6 0 | 3 2 0 0 | 40 * * * * ♦ 3 0 3 0 0 0 | 3 0 6 3 0 0 0 | 1 3 3 1 0
.. x.3o.3o. .. .. & ♦ 4 | 0 6 0 | 0 4 0 0 | * 60 * * * | 1 2 0 0 2 0 | 2 1 2 0 2 1 0 | 1 2 1 0 1
xx xo .. .. .. ..&#x & ♦ 6 | 3 2 4 | 1 0 2 2 | * * 120 * * ♦ 0 0 3 3 0 0 | 0 0 3 9 0 0 0 | 0 1 4 3 0
.. xo3oo .. .. ..&#x & ♦ 4 | 0 3 3 | 0 1 0 3 | * * * 240 * | 0 0 1 0 2 2 | 0 0 2 2 1 2 1 | 0 1 2 1 1
.. xo .. .. .. ox&#x ♦ 4 | 0 2 4 | 0 0 0 4 | * * * * 180 | 0 0 0 1 0 4 | 0 0 0 4 0 2 2 | 0 0 2 2 1
------------------------+----+----------+--------------+-------------------+----------------------+----------------------+-------------
x. x.3o.3o. .. .. & ♦ 8 | 4 12 0 | 6 8 0 0 | 4 2 0 0 0 | 30 * * * * * | 2 0 2 0 0 0 0 | 1 2 1 0 0
.. x.3o.3o.3o. .. & ♦ 5 | 0 10 0 | 0 10 0 0 | 0 5 0 0 0 | * 24 * * * * | 1 1 0 0 1 0 0 | 1 1 0 0 1
xx xo3oo .. .. ..&#x & ♦ 8 | 4 6 6 | 3 2 3 6 | 1 0 3 2 0 | * * 120 * * * | 0 0 2 2 0 0 0 | 0 1 2 1 0
xx xo .. .. .. ox&#x ♦ 8 | 4 4 8 | 2 0 4 8 | 0 0 4 0 2 | * * * 90 * * | 0 0 0 4 0 0 0 | 0 0 2 2 0
.. xo3oo3oo .. ..&#x & ♦ 5 | 0 6 4 | 0 4 0 6 | 0 1 0 4 0 | * * * * 120 * | 0 0 1 0 1 1 0 | 0 1 1 0 1
.. xo3oo .. .. ox&#x & ♦ 5 | 0 4 6 | 0 1 0 9 | 0 0 0 2 3 | * * * * * 240 | 0 0 0 1 0 1 1 | 0 0 1 1 1
------------------------+----+----------+--------------+-------------------+----------------------+----------------------+-------------
x. x.3o.3o.3o. .. & ♦ 10 | 5 20 0 | 10 20 0 0 | 10 10 0 0 0 | 5 2 0 0 0 0 | 12 * * * * * * | 1 1 0 0 0
.. x.3o.3o.3o.3o. & ♦ 6 | 0 15 0 | 0 20 0 0 | 0 15 0 0 0 | 0 6 0 0 0 0 | * 4 * * * * * | 1 0 0 0 1
xx xo3oo3oo .. ..&#x & ♦ 10 | 5 12 8 | 6 8 4 12 | 4 2 6 8 0 | 1 0 4 0 2 0 | * * 60 * * * * | 0 1 1 0 0
xx xo3oo .. .. ox&#x & ♦ 10 | 5 8 12 | 4 2 6 18 | 1 0 9 4 6 | 0 0 2 3 0 2 | * * * 120 * * * | 0 0 1 1 0
.. xo3oo3oo3oo ..&#x & ♦ 6 | 0 10 5 | 0 10 0 10 | 0 5 0 10 0 | 0 1 0 0 5 0 | * * * * 24 * * | 0 1 0 0 1
.. xo3oo3oo .. ox&#x & ♦ 6 | 0 7 8 | 0 4 0 16 | 0 1 0 8 6 | 0 0 0 0 2 4 | * * * * * 60 * | 0 0 1 0 1
.. xo3oo .. oo3ox&#x ♦ 6 | 0 6 9 | 0 2 0 18 | 0 0 0 6 9 | 0 0 0 0 0 6 | * * * * * * 40 | 0 0 0 1 1
------------------------+----+----------+--------------+-------------------+----------------------+----------------------+-------------
x. x.3o.3o.3o.3o. & ♦ 12 | 6 30 0 | 15 40 0 0 | 20 30 0 0 0 | 15 12 0 0 0 0 | 6 2 0 0 0 0 0 | 2 * * * *
xx xo3oo3oo3oo ..&#x & ♦ 12 | 6 20 10 | 10 20 5 20 | 10 10 10 20 0 | 5 2 10 0 10 0 | 1 0 5 0 2 0 0 | * 12 * * *
xx xo3oo3oo .. ox&#x & ♦ 12 | 6 14 16 | 7 8 8 32 | 4 2 16 16 12 | 1 0 8 6 4 8 | 0 0 2 4 0 2 0 | * * 30 * *
xx xo3oo .. oo3ox&#x ♦ 12 | 6 12 18 | 6 4 9 36 | 2 0 18 12 18 | 0 0 6 9 0 12 | 0 0 0 6 0 0 2 | * * * 20 *
.. xo3oo3oo3oo3ox&#x ♦ 12 | 0 30 30 | 0 40 0 120 | 0 30 0 120 90 | 0 12 0 0 60 120 | 0 2 0 0 12 30 20 | * * * * 2
xxx oxo3ooo3ooo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107 (line || pseudo taccup || line) o.. o..3o..3o..3o..4o.. & | 4 * | 1 10 0 0 | 10 40 0 0 | 40 80 0 0 | 80 80 0 0 | 80 32 0 | 32 1 .o. .o.3.o.3.o.3.o.4.o. | * 20 | 0 2 1 8 | 2 16 8 24 | 16 48 24 32 | 48 64 32 16 | 64 32 16 | 32 1 ------------------------------+------+------------+---------------+---------------+---------------+------------+----- x.. ... ... ... ... ... & | 2 0 | 2 * * * ♦ 10 0 0 0 | 40 0 0 0 | 80 0 0 0 | 80 0 0 | 32 0 oo. oo.3oo.3oo.3oo.4oo.&#x & | 1 1 | * 40 * * | 1 8 0 0 | 8 24 0 0 | 24 32 0 0 | 32 16 0 | 16 1 .x. ... ... ... ... ... | 0 2 | * * 10 * ♦ 2 0 8 0 | 16 0 24 0 | 48 0 32 0 | 64 0 16 | 32 0 ... .x. ... ... ... ... | 0 2 | * * * 80 | 0 2 1 6 | 2 12 6 12 | 12 24 12 8 | 24 16 8 | 16 1 ------------------------------+------+------------+---------------+---------------+---------------+------------+----- xx. ... ... ... ... ...&#x & | 2 2 | 1 2 1 0 | 20 * * * ♦ 8 0 0 0 | 24 0 0 0 | 32 0 0 | 16 0 ... ox. ... ... ... ...&#x & | 1 2 | 0 2 0 1 | * 160 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 | 8 1 .x. .x. ... ... ... ... | 0 4 | 0 0 2 2 | * * 40 * ♦ 2 0 6 0 | 12 0 12 0 | 24 0 8 | 16 0 ... .x.3.o. ... ... ... | 0 3 | 0 0 0 3 | * * * 160 | 0 2 1 4 | 2 8 4 4 | 8 8 4 | 8 1 ------------------------------+------+------------+---------------+---------------+---------------+------------+----- xx. ox. ... ... ... ...&#x & ♦ 2 4 | 1 4 2 2 | 2 2 1 0 | 80 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0 ... ox.3oo. ... ... ...&#x & ♦ 1 3 | 0 3 0 3 | 0 3 0 1 | * 320 * * | 1 4 0 0 | 4 4 0 | 4 1 .x. .x.3.o. ... ... ... ♦ 0 6 | 0 0 3 6 | 0 0 3 2 | * * 80 * ♦ 2 0 4 0 | 8 0 4 | 8 0 ... .x.3.o.3.o. ... ... ♦ 0 4 | 0 0 0 6 | 0 0 0 4 | * * * 160 | 0 2 1 2 | 2 4 2 | 4 1 ------------------------------+------+------------+---------------+---------------+---------------+------------+----- xx. ox.3oo. ... ... ...&#x & ♦ 2 6 | 1 6 3 6 | 3 6 3 2 | 3 2 1 0 | 160 * * * | 4 0 0 | 4 0 ... ox.3oo.3oo. ... ...&#x & ♦ 1 4 | 0 4 0 6 | 0 6 0 4 | 0 4 0 1 | * 320 * * | 1 2 0 | 2 1 .x. .x.3.o.3.o. ... ... ♦ 0 8 | 0 0 4 12 | 0 0 6 8 | 0 0 4 2 | * * 80 * | 2 0 2 | 4 0 ... .x.3.o.3.o.3.o. ... ♦ 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 64 | 0 2 1 | 2 1 ------------------------------+------+------------+---------------+---------------+---------------+------------+----- xx. ox.3oo.3oo. ... ...&#x & ♦ 2 8 | 1 8 4 12 | 4 12 6 8 | 6 8 4 2 | 4 2 1 0 | 160 * * | 2 0 ... ox.3oo.3oo.3oo. ...&#x & ♦ 1 5 | 0 5 0 10 | 0 10 0 10 | 0 10 0 5 | 0 5 0 1 | * 128 * | 1 1 .x. .x.3.o.3.o.3.o. ... ♦ 0 10 | 0 0 5 20 | 0 0 10 20 | 0 0 10 10 | 0 0 5 2 | * * 32 | 2 0 ------------------------------+------+------------+---------------+---------------+---------------+------------+----- xx. ox.3oo.3oo.3oo. ...&#x & ♦ 2 10 | 1 10 5 20 | 5 20 10 20 | 10 20 10 10 | 10 10 5 2 | 5 2 1 | 64 * ... oxo3ooo3ooo3ooo4ooo&#xt ♦ 2 10 | 0 20 0 40 | 0 80 0 80 | 0 160 0 80 | 0 160 0 32 | 0 64 0 | * 2
xxx ooo3ooo3ooo *c3ooo3oxo&#xt → both heights = 1/sqrt(2) = 0.707107 (line || pseudo taccup || line) o.. o..3o..3o.. *c3o..3o.. & | 4 * | 1 10 0 0 | 10 40 0 0 | 40 80 0 0 | 80 80 0 0 0 | 80 16 16 0 0 | 16 16 1 .o. .o.3.o.3.o. *c3.o.3.o. | * 20 | 0 2 1 8 | 2 16 8 24 | 16 48 24 32 | 48 64 32 8 8 | 64 16 16 8 8 | 16 16 1 ---------------------------------+------+------------+---------------+---------------+------------------+-----------------+-------- x.. ... ... ... ... ... & | 2 0 | 2 * * * ♦ 10 0 0 0 | 40 0 0 0 | 80 0 0 0 0 | 80 0 0 0 0 | 16 16 0 oo. oo.3oo.3oo. *c3oo.3oo.&#x & | 1 1 | * 40 * * | 1 8 0 0 | 8 24 0 0 | 24 32 0 0 0 | 32 8 8 0 0 | 8 8 1 .x. ... ... ... ... ... | 0 2 | * * 10 * | 2 0 8 0 | 16 0 24 0 | 48 0 32 0 0 | 64 0 0 8 8 | 16 16 0 ... ... ... ... ... .x. | 0 2 | * * * 80 | 0 2 1 6 | 2 12 6 12 | 12 24 12 4 4 | 24 8 8 4 4 | 8 8 1 ---------------------------------+------+------------+---------------+---------------+------------------+-----------------+-------- xx. ... ... ... ... ...&#x & | 2 2 | 1 2 1 0 | 20 * * * ♦ 8 0 0 0 | 24 0 0 0 0 | 32 0 0 0 0 | 8 8 0 ... ... ... ... ... ox.&#x & | 1 2 | 0 2 0 1 | * 160 * * | 1 6 0 0 | 6 12 0 0 0 | 12 4 4 0 0 | 4 4 1 .x. ... ... ... ... .x. | 0 4 | 0 0 2 2 | * * 40 * ♦ 2 0 6 0 | 12 0 12 0 0 | 24 0 0 4 4 | 8 8 0 ... ... ... ... .o.3.x. | 0 3 | 0 0 0 3 | * * * 160 | 0 2 1 4 | 2 8 4 2 2 | 8 4 4 2 2 | 4 4 1 ---------------------------------+------+------------+---------------+---------------+------------------+-----------------+-------- xx. ... ... ... ... ox.&#x & ♦ 2 4 | 1 4 2 2 | 2 2 1 0 | 80 * * * ♦ 6 0 0 0 0 | 12 0 0 0 0 | 4 4 0 ... ... ... ... oo.3ox.&#x & ♦ 1 3 | 0 3 0 3 | 0 3 0 1 | * 320 * * | 1 4 0 0 0 | 4 2 2 0 0 | 2 2 1 .x. ... ... ... .o.3.x. ♦ 0 6 | 0 0 3 6 | 0 0 3 2 | * * 80 * ♦ 2 0 4 0 0 | 8 0 0 2 2 | 4 4 0 ... ... .o. ... *c3.o.3.x. ♦ 0 4 | 0 0 0 6 | 0 0 0 4 | * * * 160 | 0 2 1 1 1 | 2 2 2 1 1 | 2 2 1 ---------------------------------+------+------------+---------------+---------------+------------------+-----------------+-------- xx. ... ... ... oo.3ox.&#x & ♦ 2 6 | 1 6 3 6 | 3 6 3 2 | 3 2 1 0 | 160 * * * * | 4 0 0 0 0 | 2 2 0 ... ... oo. ... *c3oo.3ox.&#x & ♦ 1 4 | 0 4 0 6 | 0 6 0 4 | 0 4 0 1 | * 320 * * * | 1 1 1 0 0 | 1 1 1 .x. ... .o. ... *c3.o.3.x. ♦ 0 8 | 0 0 4 12 | 0 0 6 8 | 0 0 4 2 | * * 80 * * | 2 0 0 1 1 | 2 2 0 ... .o.3.o. ... *c3.o.3.x. ♦ 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 32 * | 0 2 0 1 0 | 2 0 1 ... ... .o.3.o. *c3.o.3.x. ♦ 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * * 32 | 0 0 2 0 1 | 0 2 1 ---------------------------------+------+------------+---------------+---------------+------------------+-----------------+-------- xx. ... oo. ... *c3oo.3ox.&#x & ♦ 2 8 | 1 8 4 12 | 4 12 6 8 | 6 8 4 2 | 4 2 1 0 0 | 160 * * * * | 1 1 0 ... oo.3oo. ... *c3oo.3ox.&#x & ♦ 1 5 | 0 5 0 10 | 0 10 0 10 | 0 10 0 5 | 0 5 0 1 0 | * 64 * * * | 1 0 1 ... ... oo.3oo. *c3oo.3ox.&#x & ♦ 1 5 | 0 5 0 10 | 0 10 0 10 | 0 10 0 5 | 0 5 0 0 1 | * * 64 * * | 0 1 1 .x. .o.3.o. ... *c3.o.3.x. ♦ 0 10 | 0 0 5 20 | 0 0 10 20 | 0 0 10 10 | 0 0 5 2 0 | * * * 16 * | 2 0 0 .x. ... .o.3.x. *c3.o.3.x. ♦ 0 10 | 0 0 5 20 | 0 0 10 20 | 0 0 10 10 | 0 0 5 0 2 | * * * * 16 | 0 2 0 ---------------------------------+------+------------+---------------+---------------+------------------+-----------------+-------- xx. oo.3oo. ... *c3oo.3ox.&#x & ♦ 2 10 | 1 10 5 20 | 5 20 10 20 | 10 20 10 10 | 10 10 5 2 0 | 5 2 0 1 0 | 32 * * xx. ... oo.3oo. *c3oo.3ox.&#x & ♦ 2 10 | 1 10 5 20 | 5 20 10 20 | 10 20 10 10 | 10 10 5 0 2 | 5 0 2 0 1 | * 32 * ... ooo3ooo3ooo *c3ooo3oxo&#xt ♦ 2 10 | 0 20 0 40 | 0 80 0 80 | 0 160 0 80 | 0 160 0 16 16 | 0 32 32 0 0 | * * 2
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