Acronym | shiddip, K-4.54 |
Name | square - hexagon duoprism |
Circumradius | sqrt(3/2) = 1.224745 |
Volume | 3 sqrt(3)/2 = 2.598076 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 24, 48, 34, 10 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x4o x6o . . . . | 24 | 2 2 | 1 4 1 | 2 2 --------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 --------+----+-------+--------+---- x4o . . | 4 | 4 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x6o | 6 | 0 6 | * * 4 | 0 2 --------+----+-------+--------+---- x4o x . ♦ 8 | 8 4 | 2 4 0 | 6 * x . x6o ♦ 12 | 6 12 | 0 6 2 | * 4 snubbed forms: s4o2s6o
x4o x6/5o . . . . | 24 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x4o . . | 4 | 4 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x6/5o | 6 | 0 6 | * * 4 | 0 2 ----------+----+-------+--------+---- x4o x . ♦ 8 | 8 4 | 2 4 0 | 6 * x . x6/5o ♦ 12 | 6 12 | 0 6 2 | * 4
x4/3o x6o . . . . | 24 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x4/3o . . | 4 | 4 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x6o | 6 | 0 6 | * * 4 | 0 2 ----------+----+-------+--------+---- x4/3o x . ♦ 8 | 8 4 | 2 4 0 | 6 * x . x6o ♦ 12 | 6 12 | 0 6 2 | * 4
x4/3o x6/5o . . . . | 24 | 2 2 | 1 4 1 | 2 2 ------------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 ------------+----+-------+--------+---- x4/3o . . | 4 | 4 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x6/5o | 6 | 0 6 | * * 4 | 0 2 ------------+----+-------+--------+---- x4/3o x . ♦ 8 | 8 4 | 2 4 0 | 6 * x . x6/5o ♦ 12 | 6 12 | 0 6 2 | * 4
x4o x3x . . . . | 24 | 2 1 1 | 1 2 2 1 | 1 1 2 --------+----+----------+-----------+------ x . . . | 2 | 24 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 12 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 12 | 0 0 2 1 | 0 1 2 --------+----+----------+-----------+------ x4o . . | 4 | 4 0 0 | 6 * * * | 1 1 0 x . x . | 4 | 2 2 0 | * 12 * * | 1 0 1 x . . x | 4 | 2 0 2 | * * 12 * | 0 1 1 . . x3x | 6 | 0 3 3 | * * * 4 | 0 0 2 --------+----+----------+-----------+------ x4o x . ♦ 8 | 8 4 0 | 2 4 0 0 | 3 * * x4o . x ♦ 8 | 8 0 4 | 2 0 4 0 | * 3 * x . x3x ♦ 12 | 6 6 6 | 0 3 3 2 | * * 4 snubbed forms: s4o2s3s
x4/3o x3x . . . . | 24 | 2 1 1 | 1 2 2 1 | 1 1 2 ----------+----+----------+-----------+------ x . . . | 2 | 24 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 12 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 12 | 0 0 2 1 | 0 1 2 ----------+----+----------+-----------+------ x4/3o . . | 4 | 4 0 0 | 6 * * * | 1 1 0 x . x . | 4 | 2 2 0 | * 12 * * | 1 0 1 x . . x | 4 | 2 0 2 | * * 12 * | 0 1 1 . . x3x | 6 | 0 3 3 | * * * 4 | 0 0 2 ----------+----+----------+-----------+------ x4/3o x . ♦ 8 | 8 4 0 | 2 4 0 0 | 3 * * x4/3o . x ♦ 8 | 8 0 4 | 2 0 4 0 | * 3 * x . x3x ♦ 12 | 6 6 6 | 0 3 3 2 | * * 4
x x x6o . . . . | 24 | 1 1 2 | 1 2 2 1 | 2 1 1 --------+----+----------+-----------+------ x . . . | 2 | 12 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 12 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 24 | 0 1 1 1 | 1 1 1 --------+----+----------+-----------+------ x x . . | 4 | 2 2 0 | 6 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 12 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 12 * | 1 0 1 . . x6o | 6 | 0 0 6 | * * * 4 | 0 1 1 --------+----+----------+-----------+------ x x x . ♦ 8 | 4 4 4 | 2 2 2 0 | 6 * * x . x6o ♦ 12 | 6 0 12 | 0 6 0 2 | * 2 * . x x6o ♦ 12 | 0 6 12 | 0 0 6 2 | * * 2
x x x6/5o . . . . | 24 | 1 1 2 | 1 2 2 1 | 2 1 1 ----------+----+----------+-----------+------ x . . . | 2 | 12 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 12 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 24 | 0 1 1 1 | 1 1 1 ----------+----+----------+-----------+------ x x . . | 4 | 2 2 0 | 6 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 12 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 12 * | 1 0 1 . . x6/5o | 6 | 0 0 6 | * * * 4 | 0 1 1 ----------+----+----------+-----------+------ x x x . ♦ 8 | 4 4 4 | 2 2 2 0 | 6 * * x . x6/5o ♦ 12 | 6 0 12 | 0 6 0 2 | * 2 * . x x6/5o ♦ 12 | 0 6 12 | 0 0 6 2 | * * 2
x x x3x . . . . | 24 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 --------+----+-------------+-------------+-------- x . . . | 2 | 12 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 12 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 12 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 12 | 0 0 1 0 1 1 | 0 1 1 1 --------+----+-------------+-------------+-------- x x . . | 4 | 2 2 0 0 | 6 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 6 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 6 * * * | 0 1 1 0 . x x . | 4 | 0 2 2 0 | * * * 6 * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 6 * | 0 1 0 1 . . x3x | 6 | 0 0 3 3 | * * * * * 4 | 0 0 1 1 --------+----+-------------+-------------+-------- x x x . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 | 3 * * * x x . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 | * 3 * * x . x3x ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 | * * 2 * . x x3x ♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 | * * * 2 snubbed forms: s2s2s3s
xx xx6oo&#x → height = 1
(hip || hip)
o. o.6o. | 12 * | 1 2 1 0 0 | 2 1 1 2 0 0 | 1 2 1 0
.o .o6.o | * 12 | 0 0 1 1 2 | 0 0 1 2 2 1 | 0 2 1 1
------------+-------+--------------+--------------+--------
x. .. .. | 2 0 | 6 * * * * | 2 0 1 0 0 0 | 1 2 0 0
.. x. .. | 2 0 | * 12 * * * | 1 1 0 1 0 0 | 1 1 1 0
oo oo6oo&#x | 1 1 | * * 12 * * | 0 0 1 2 0 0 | 0 2 1 0
.x .. .. | 0 2 | * * * 6 * | 0 0 1 0 2 0 | 0 2 0 1
.. .x .. | 0 2 | * * * * 12 | 0 0 0 1 1 1 | 0 1 1 1
------------+-------+--------------+--------------+--------
x. x. .. | 4 0 | 2 2 0 0 0 | 6 * * * * * | 1 1 0 0
.. x.6o. | 6 0 | 0 6 0 0 0 | * 2 * * * * | 1 0 1 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * 6 * * * | 0 2 0 0
.. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * 12 * * | 0 1 1 0
.x .x .. | 0 4 | 0 0 0 2 2 | * * * * 6 * | 0 1 0 1
.. .x6.o | 0 6 | 0 0 0 0 6 | * * * * * 2 | 0 0 1 1
------------+-------+--------------+--------------+--------
x. x.6o. | 12 0 | 6 12 0 0 0 | 6 2 0 0 0 0 | 1 * * *
xx xx ..&#x | 4 4 | 2 2 4 2 2 | 1 0 2 2 1 0 | * 6 * *
.. xx6oo&#x | 6 6 | 0 6 6 0 6 | 0 1 0 6 0 1 | * * 2 *
.x .x6.o | 0 12 | 0 0 0 6 12 | 0 0 0 0 6 2 | * * * 1
xx xx3xx&#x → height = 1
(hip || hip)
o. o.3o. | 12 * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0
.o .o3.o | * 12 | 0 0 0 1 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
------------+-------+----------------+-------------------+----------
x. .. .. | 2 0 | 6 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
.. x. .. | 2 0 | * 6 * * * * * | 1 0 1 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x. | 2 0 | * * 6 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0
oo oo3oo&#x | 1 1 | * * * 12 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * * 6 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x .. | 0 2 | * * * * * 6 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x | 0 2 | * * * * * * 6 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
------------+-------+----------------+-------------------+----------
x. x. .. | 4 0 | 2 2 0 0 0 0 0 | 3 * * * * * * * * | 1 1 0 0 0
x. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 3 * * * * * * * | 1 0 1 0 0
.. x.3x. | 6 0 | 0 3 3 0 0 0 0 | * * 2 * * * * * * | 1 0 0 1 0
xx .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * 6 * * * * * | 0 1 1 0 0
.. xx ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * 6 * * * * | 0 1 0 1 0
.. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * 6 * * * | 0 0 1 1 0
.x .x .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * 3 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * 3 * | 0 0 1 0 1
.. .x3.x | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * 2 | 0 0 0 1 1
------------+-------+----------------+-------------------+----------
x. x.3x. ♦ 12 0 | 6 6 6 0 0 0 0 | 3 3 2 0 0 0 0 0 0 | 1 * * * *
xx xx ..&#x ♦ 4 4 | 2 2 0 4 2 2 0 | 1 0 0 2 2 0 1 0 0 | * 3 * * *
xx .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 2 0 2 0 1 0 | * * 3 * *
.. xx3xx&#x ♦ 6 6 | 0 3 3 6 0 3 3 | 0 0 1 0 3 3 0 0 1 | * * * 2 *
.x .x3.x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 3 3 2 | * * * * 1
xux xxx4ooo&#xt → both heights = sqrt(3)/2 = 0.866025 (cube || pseudo (x,x,u)-cube || cube) o.. o..4o.. | 8 * * | 1 2 1 0 0 0 0 | 2 1 2 1 0 0 0 0 | 1 1 2 0 0 .o. .o.4.o. | * 8 * | 0 0 1 2 1 0 0 | 0 0 2 1 1 2 0 0 | 0 1 2 1 0 ..o ..o4..o | * * 8 | 0 0 0 0 1 1 2 | 0 0 0 1 0 2 2 1 | 0 0 2 1 1 ----------------+-------+---------------+-----------------+---------- x.. ... ... | 2 0 0 | 4 * * * * * * | 2 0 0 1 0 0 0 0 | 1 0 2 0 0 ... x.. ... | 2 0 0 | * 8 * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0 oo. oo.4oo.&#x | 1 1 0 | * * 8 * * * * | 0 0 2 1 0 0 0 0 | 0 1 2 0 0 ... .x. ... | 0 2 0 | * * * 8 * * * | 0 0 1 0 1 1 0 0 | 0 1 1 1 0 .oo .oo4.oo&#x | 0 1 1 | * * * * 8 * * | 0 0 0 1 0 2 0 0 | 0 0 2 1 0 ..x ... ... | 0 0 2 | * * * * * 4 * | 0 0 0 1 0 0 2 0 | 0 0 2 0 1 ... ..x ... | 0 0 2 | * * * * * * 8 | 0 0 0 0 0 1 1 1 | 0 0 1 1 1 ----------------+-------+---------------+-----------------+---------- x.. x.. ... | 4 0 0 | 2 2 0 0 0 0 0 | 4 * * * * * * * | 1 0 1 0 0 ... x..4o.. | 4 0 0 | 0 4 0 0 0 0 0 | * 2 * * * * * * | 1 1 0 0 0 ... xx. ...&#x | 2 2 0 | 0 1 2 1 0 0 0 | * * 8 * * * * * | 0 1 1 0 0 xux ... ...&#xt | 2 2 2 | 1 0 2 0 2 1 0 | * * * 4 * * * * | 0 0 2 0 0 ... .x.4.o. | 0 4 0 | 0 0 0 4 0 0 0 | * * * * 2 * * * | 0 1 0 1 0 ... .xx ...&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * 8 * * | 0 0 1 1 0 ..x ..x ... | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * 4 * | 0 0 1 0 1 ... ..x4..o | 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * 2 | 0 0 0 1 1 ----------------+-------+---------------+-----------------+---------- x.. x..4o.. ♦ 8 0 0 | 4 8 0 0 0 0 0 | 4 2 0 0 0 0 0 0 | 1 * * * * ... xx.4oo.&#x ♦ 4 4 0 | 0 4 4 4 0 0 0 | 0 1 4 0 1 0 0 0 | * 2 * * * xux xxx ...&#xt ♦ 4 4 4 | 2 2 4 2 4 2 2 | 1 0 2 2 0 2 1 0 | * * 4 * * ... .xx4.oo&#x ♦ 0 4 4 | 0 0 0 4 4 0 4 | 0 0 0 0 1 4 0 1 | * * * 2 * ..x ..x4..o ♦ 0 0 8 | 0 0 0 0 0 4 8 | 0 0 0 0 0 0 4 2 | * * * * 1
or o.. o..4o.. & | 16 * | 1 2 1 0 | 2 1 2 1 0 | 1 1 2 .o. .o.4.o. | * 8 | 0 0 2 2 | 0 0 4 1 1 | 0 2 2 -------------------+------+-----------+------------+------ x.. ... ... & | 2 0 | 8 * * * | 2 0 0 1 0 | 1 0 2 ... x.. ... & | 2 0 | * 16 * * | 1 1 1 0 0 | 1 1 1 oo. oo.4oo.&#x & | 1 1 | * * 16 * | 0 0 2 1 0 | 0 1 2 ... .x. ... | 0 2 | * * * 8 | 0 0 2 0 1 | 0 2 1 -------------------+------+-----------+------------+------ x.. x.. ... & | 4 0 | 2 2 0 0 | 8 * * * * | 1 0 1 ... x..4o.. & | 4 0 | 0 4 0 0 | * 4 * * * | 1 1 0 ... xx. ...&#x & | 2 2 | 0 1 2 1 | * * 16 * * | 0 1 1 xux ... ...&#xt | 4 2 | 2 0 4 0 | * * * 4 * | 0 0 2 ... .x.4.o. | 0 4 | 0 0 0 4 | * * * * 2 | 0 2 0 -------------------+------+-----------+------------+------ x.. x..4o.. & ♦ 8 0 | 4 8 0 0 | 4 2 0 0 0 | 2 * * ... xx.4oo.&#x & ♦ 4 4 | 0 4 4 4 | 0 1 4 0 1 | * 4 * xux xxx ...&#xt ♦ 8 4 | 4 4 8 2 | 2 0 4 2 0 | * * 4
xux xxx xxx&#xt → both heights = sqrt(3)/2 = 0.866025 (cube || pseudo (x,x,u)-cube || cube) o.. o..4o.. | 8 * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 .o. .o.4.o. | * 8 * | 0 0 0 1 1 1 1 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 | 0 1 1 1 1 0 ..o ..o4..o | * * 8 | 0 0 0 0 0 0 1 1 1 1 | 0 0 0 1 0 0 0 1 1 1 1 1 | 0 1 1 0 1 1 ----------------+-------+---------------------+-------------------------+------------ x.. ... ... | 2 0 0 | 4 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 ... x.. ... | 2 0 0 | * 4 * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0 ... ... x.. | 2 0 0 | * * 4 * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 | 1 0 1 1 0 0 oo. oo. oo.&#x | 1 1 0 | * * * 8 * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0 ... .x. ... | 0 2 0 | * * * * 4 * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0 ... ... .x. | 0 2 0 | * * * * * 4 * * * * | 0 0 0 0 0 1 1 0 1 0 0 0 | 0 0 1 1 1 0 .oo .oo .oo&#x | 0 1 1 | * * * * * * 8 * * * | 0 0 0 1 0 0 0 1 1 0 0 0 | 0 1 1 0 1 0 ..x ... ... | 0 0 2 | * * * * * * * 4 * * | 0 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1 ... ..x ... | 0 0 2 | * * * * * * * * 4 * | 0 0 0 0 0 0 0 1 0 1 0 1 | 0 1 0 0 1 1 ... ... ..x | 0 0 2 | * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 1 0 1 1 ----------------+-------+---------------------+-------------------------+------------ x.. x.. ... | 4 0 0 | 2 2 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * | 1 1 0 0 0 0 x.. ... x.. | 4 0 0 | 2 0 2 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * | 1 0 1 0 0 0 ... x.. x.. | 4 0 0 | 0 2 2 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * | 1 0 0 1 0 0 xux ... ...&#xt | 2 2 2 | 1 0 0 2 0 0 2 1 0 0 | * * * 4 * * * * * * * * | 0 1 1 0 0 0 ... xx. ...&#x | 2 2 0 | 0 1 0 2 1 0 0 0 0 0 | * * * * 4 * * * * * * * | 0 1 0 1 0 0 ... ... xx.&#x | 2 2 0 | 0 0 1 2 0 1 0 0 0 0 | * * * * * 4 * * * * * * | 0 0 1 1 0 0 ... .x. .x. | 0 4 0 | 0 0 0 0 2 2 0 0 0 0 | * * * * * * 2 * * * * * | 0 0 0 1 1 0 ... .xx ...&#x | 0 2 2 | 0 0 0 0 1 0 2 0 1 0 | * * * * * * * 4 * * * * | 0 1 0 0 1 0 ... ... .xx&#x | 0 2 2 | 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * 4 * * * | 0 0 1 0 1 0 ..x ..x ... | 0 0 4 | 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * 2 * * | 0 1 0 0 0 1 ..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * 2 * | 0 0 1 0 0 1 ... ..x ..x | 0 0 4 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 2 | 0 0 0 0 1 1 ----------------+-------+---------------------+-------------------------+------------ x.. x.. x.. ♦ 8 0 0 | 4 4 4 0 0 0 0 0 0 0 | 2 2 2 0 0 0 0 0 0 0 0 0 | 1 * * * * * xux xxx ...&#xt ♦ 4 4 4 | 2 2 0 4 2 0 4 2 2 0 | 1 0 0 2 2 0 0 2 0 1 0 0 | * 2 * * * * xux ... xxx&#xt ♦ 4 4 4 | 2 0 2 4 0 2 4 2 0 2 | 0 1 0 2 0 2 0 0 2 0 1 0 | * * 2 * * * ... xx. xx.&#x ♦ 4 4 0 | 0 2 2 4 2 2 0 0 0 0 | 0 0 1 0 2 2 1 0 0 0 0 0 | * * * 2 * * ... .xx .xx&#x ♦ 0 4 4 | 0 0 0 0 2 2 4 0 2 2 | 0 0 0 0 0 0 1 2 2 0 0 1 | * * * * 2 * ..x ..x ..x ♦ 0 0 8 | 0 0 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 2 2 2 | * * * * * 1
xxx6ooo oqo&#xt → both heights = 1/sqrt(2) = 0.707107 ({6} || pseudo (x,q)-hip || {6}) o..6o.. o.. | 6 * * | 2 2 0 0 0 | 1 4 1 0 0 0 | 2 2 0 .o.6.o. .o. | * 12 * | 0 1 2 1 0 | 0 2 1 1 2 0 | 1 2 1 ..o6..o ..o | * * 6 | 0 0 0 2 2 | 0 0 1 0 4 1 | 0 2 2 ----------------+--------+--------------+---------------+------ x.. ... ... | 2 0 0 | 6 * * * * | 1 2 0 0 0 0 | 2 1 0 oo.6oo. oo.&#x | 1 1 0 | * 12 * * * | 0 2 1 0 0 0 | 1 2 0 .x. ... ... | 0 2 0 | * * 12 * * | 0 1 0 1 1 0 | 1 1 1 .oo6.oo .oo&#x | 0 1 1 | * * * 12 * | 0 0 1 0 2 0 | 0 2 1 ..x ... ... | 0 0 2 | * * * * 6 | 0 0 0 0 2 1 | 0 1 2 ----------------+--------+--------------+---------------+------ x..6o.. ... | 6 0 0 | 6 0 0 0 0 | 1 * * * * * | 2 0 0 xx. ... ...&#x | 2 2 0 | 1 2 1 0 0 | * 12 * * * * | 1 1 0 ... ... oqo&#xt | 1 2 1 | 0 2 0 2 0 | * * 6 * * * | 0 2 0 .x.6.o. ... | 0 6 0 | 0 0 6 0 0 | * * * 2 * * | 1 0 1 .xx ... ...&#x | 0 2 2 | 0 0 1 2 1 | * * * * 12 * | 0 1 1 ..x6..o ... | 0 0 6 | 0 0 0 0 6 | * * * * * 1 | 0 0 2 ----------------+--------+--------------+---------------+------ xx.6oo. ...&#x ♦ 6 6 0 | 6 6 6 0 0 | 1 6 0 1 0 0 | 2 * * xxx ... oqo&#xt ♦ 2 4 2 | 1 4 2 4 1 | 0 2 2 0 2 0 | * 6 * .xx6.oo ...&#x ♦ 0 6 6 | 0 0 6 6 6 | 0 0 0 1 6 1 | * * 2
xxx3xxx oqo&#xt → both heights = 1/sqrt(2) = 0.707107 ({6} || pseudo (x,x,q)-hip || {6}) o..3o.. o.. | 6 * * | 1 1 2 0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 2 1 1 0 .o.3.o. .o. | * 12 * | 0 0 1 1 1 1 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1 ..o3..o ..o | * * 6 | 0 0 0 0 0 2 1 1 | 0 0 0 1 0 2 2 1 | 0 1 1 2 ----------------+--------+-------------------+-----------------+-------- x.. ... ... | 2 0 0 | 3 * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 ... x.. ... | 2 0 0 | * 3 * * * * * * | 1 0 2 0 0 0 0 0 | 2 0 1 0 oo.3oo. oo.&#x | 1 1 0 | * * 12 * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 .x. ... ... | 0 2 0 | * * * 6 * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1 ... .x. ... | 0 2 0 | * * * * 6 * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 .oo3.oo .oo&#x | 0 1 1 | * * * * * 12 * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 ..x ... ... | 0 0 2 | * * * * * * 3 * | 0 0 0 0 0 2 0 1 | 0 1 0 2 ... ..x ... | 0 0 2 | * * * * * * * 3 | 0 0 0 0 0 0 2 1 | 0 0 1 2 ----------------+--------+-------------------+-----------------+-------- x..3x.. ... | 6 0 0 | 3 3 0 0 0 0 0 0 | 1 * * * * * * * | 2 0 0 0 xx. ... ...&#x | 2 2 0 | 1 0 2 1 0 0 0 0 | * 6 * * * * * * | 1 1 0 0 ... xx. ...&#x | 2 2 0 | 0 1 2 0 1 0 0 0 | * * 6 * * * * * | 1 0 1 0 ... ... oqo&#xt | 1 2 1 | 0 0 2 0 0 2 0 0 | * * * 6 * * * * | 0 1 1 0 .x.3.x. ... | 0 6 0 | 0 0 0 3 3 0 0 0 | * * * * 2 * * * | 1 0 0 1 .xx ... ...&#x | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * 6 * * | 0 1 0 1 ... .xx ...&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * 6 * | 0 0 1 1 ..x3..x ... | 0 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * 1 | 0 0 0 2 ----------------+--------+-------------------+-----------------+-------- xx.3xx. ...&#x ♦ 6 6 0 | 3 3 6 3 3 0 0 0 | 1 3 3 0 1 0 0 0 | 2 * * * xxx ... oqo&#xt ♦ 2 4 2 | 1 0 4 2 0 4 1 0 | 0 2 0 2 0 2 0 0 | * 3 * * ... xxx oqo&#xt ♦ 2 4 2 | 0 1 4 0 2 4 0 1 | 0 0 2 2 0 0 2 0 | * * 3 * .xx3.xx ...&#x ♦ 0 6 6 | 0 0 0 3 3 6 3 3 | 0 0 0 0 1 3 3 1 | * * * 2
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