| Acronym | triphipdaw (alt.: tripalhip) |
| Name |
(trip,hip)-disphenoid, trip atop lacing-orthogonal hip |
| Circumradius | sqrt(13/8) = 1.274755 |
|
Lace city in approx. ASCII-art |
x3o x
x3x o x3x o
|
x3o o x3o o
x3x x
| |
|
Lace hyper city in approx. ASCII-art |
x3o
x3o
x3x
x3x
(disphenoid in configuration space)
|
| Face vector | 18, 51, 61, 36, 10 |
| Confer |
|
Incidence matrix according to Dynkin symbol
ox xo ox3xx&#x → height = 1/sqrt(6) = 0.408248
(trip || lacing-ortho hip)
o. o. o.3o. | 6 * | 1 2 4 0 0 0 | 2 1 2 4 2 4 0 0 0 | 1 2 1 2 2 4 2 0 | 1 2 1 2
.o o. .o3.o | * 12 | 0 0 2 1 1 1 | 0 0 2 1 2 2 1 1 1 | 0 1 2 2 1 1 2 1 | 1 1 2 1
---------------+------+--------------+-----------------------+-----------------+--------
.. x. .. .. | 2 0 | 3 * * * * * | 2 0 0 4 0 0 0 0 0 | 1 2 0 0 2 4 0 0 | 1 2 0 2
.. .. .. x. | 2 0 | * 6 * * * * | 1 1 0 0 0 2 0 0 0 | 1 0 0 1 0 2 2 0 | 0 1 1 2
oo oo oo3oo&#x | 1 1 | * * 24 * * * | 0 0 1 1 1 1 0 0 0 | 0 1 1 1 1 1 1 0 | 1 1 1 1
.x .. .. .. | 0 2 | * * * 6 * * | 0 0 2 0 0 0 1 1 0 | 0 1 2 2 0 0 0 1 | 1 1 2 0
.. .. .x .. | 0 2 | * * * * 6 * | 0 0 0 0 2 0 1 0 1 | 0 0 2 0 1 0 2 1 | 1 0 2 1
.. .. .. .x | 0 2 | * * * * * 6 | 0 0 0 0 0 2 0 1 1 | 0 0 0 2 0 1 2 1 | 0 1 2 1
---------------+------+--------------+-----------------------+-----------------+--------
.. x. .. x. | 4 0 | 2 2 0 0 0 0 | 3 * * * * * * * * | 1 0 0 0 0 2 0 0 | 0 1 0 2
.. .. o.3x. | 3 0 | 0 3 0 0 0 0 | * 2 * * * * * * * | 1 0 0 0 0 0 2 0 | 0 0 1 2
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * 12 * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0
.. xo .. ..&#x | 2 1 | 1 0 2 0 0 0 | * * * 12 * * * * * | 0 1 0 0 1 1 0 0 | 1 1 0 1
.. .. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * 12 * * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1
.. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 12 * * * | 0 0 0 1 0 1 1 0 | 0 1 1 1
.x .. .x .. | 0 4 | 0 0 0 2 2 0 | * * * * * * 3 * * | 0 0 2 0 0 0 0 1 | 1 0 2 0
.x .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 3 * | 0 0 0 2 0 0 0 1 | 0 1 2 0
.. .. .x3.x | 0 6 | 0 0 0 0 3 3 | * * * * * * * * 2 | 0 0 0 0 0 0 2 1 | 0 0 2 1
---------------+------+--------------+-----------------------+-----------------+--------
.. x. o.3x. ♦ 6 0 | 3 6 0 0 0 0 | 3 2 0 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 0 2
ox xo .. ..&#x ♦ 2 2 | 1 0 4 1 0 0 | 0 0 2 2 0 0 0 0 0 | * 6 * * * * * * | 1 1 0 0
ox .. ox ..&#x ♦ 1 4 | 0 0 4 2 2 0 | 0 0 2 0 2 0 1 0 0 | * * 6 * * * * * | 1 0 1 0
ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 0 2 0 0 2 0 1 0 | * * * 6 * * * * | 0 1 1 0
.. xo ox ..&#x ♦ 2 2 | 1 0 4 0 1 0 | 0 0 0 2 2 0 0 0 0 | * * * * 6 * * * | 1 0 0 1
.. xo .. xx&#x ♦ 4 2 | 2 2 4 0 0 1 | 1 0 0 2 0 2 0 0 0 | * * * * * 6 * * | 0 1 0 1
.. .. ox3xx&#x ♦ 3 6 | 0 3 6 0 3 3 | 0 1 0 0 3 3 0 0 1 | * * * * * * 4 * | 0 0 1 1
.x .. .x3.x ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 0 0 3 3 2 | * * * * * * * 1 | 0 0 2 0
---------------+------+--------------+-----------------------+-----------------+--------
ox xo ox ..&#x ♦ 2 4 | 1 0 8 2 2 0 | 0 0 4 4 4 0 1 0 0 | 0 2 2 0 2 0 0 0 | 3 * * *
ox xo .. xx&#x ♦ 4 4 | 2 2 8 2 0 2 | 1 0 4 4 0 4 0 1 0 | 0 2 0 2 0 2 0 0 | * 3 * *
ox .. ox3xx&#x ♦ 3 12 | 0 3 12 6 6 6 | 0 1 6 0 6 6 3 3 2 | 0 0 3 3 0 0 2 1 | * * 2 *
.. xo ox3xx&#x ♦ 6 6 | 3 6 12 0 3 3 | 3 2 0 6 6 6 0 0 1 | 1 0 0 0 3 3 2 0 | * * * 2
oox oox3xxx&#x → height(1,2) = 1
height(1,3) = height(2,3) = sqrt(5/12) = 0.645497
o.. o..3o.. | 3 * * | 2 1 4 0 0 0 0 0 | 1 2 2 2 4 4 0 0 0 0 0 0 0 | 1 1 2 2 2 2 4 0 0 0 0 | 1 1 2 2 0
.o. .o.3.o. | * 3 * | 0 1 0 2 4 0 0 0 | 0 2 0 0 0 4 1 2 2 4 0 0 0 | 1 0 0 0 2 2 4 1 2 2 0 | 0 1 2 2 1
..o ..o3..o | * * 12 | 0 0 1 0 1 1 1 1 | 0 0 1 1 1 1 0 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 0 | 3 * * * * * * * | 1 1 0 0 2 0 0 0 0 0 0 0 0 | 1 0 1 2 0 0 2 0 0 0 0 | 1 0 1 2 0
oo. oo.3oo.&#x | 1 1 0 | * 3 * * * * * * | 0 2 0 0 0 4 0 0 0 0 0 0 0 | 1 0 0 0 2 2 4 0 0 0 0 | 0 1 2 2 0
o.o o.o3o.o&#x | 1 0 1 | * * 12 * * * * * | 0 0 1 1 1 1 0 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 0 | * * * 3 * * * * | 0 1 0 0 0 0 1 0 0 2 0 0 0 | 1 0 0 0 0 0 2 0 1 2 0 | 0 0 1 2 1
.oo .oo3.oo&#x | 0 1 1 | * * * * 12 * * * | 0 0 0 0 0 1 0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 | 0 1 1 1 1
..x ... ... | 0 0 2 | * * * * * 6 * * | 0 0 1 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1 0 0 1 1 0 1 | 1 1 1 0 1
... ..x ... | 0 0 2 | * * * * * * 6 * | 0 0 0 1 0 0 0 0 1 0 1 0 1 | 0 1 0 1 0 1 0 1 0 1 1 | 1 1 0 1 1
... ... ..x | 0 0 2 | * * * * * * * 6 | 0 0 0 0 1 0 0 0 0 1 0 1 1 | 0 0 1 1 0 0 1 0 1 1 1 | 1 0 1 1 1
---------------+--------+-------------------+----------------------------+-----------------------+----------
... o..3x.. | 3 0 0 | 3 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 0 | 1 0 0 2 0
... ... xx.&#x | 2 2 0 | 1 2 0 1 0 0 0 0 | * 3 * * * * * * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 | 0 0 1 2 0
o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 1 0 0 | * * 6 * * * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
... o.x ...&#x | 1 0 2 | 0 0 2 0 0 0 1 0 | * * * 6 * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 0 1 | * * * * 6 * * * * * * * * | 0 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 0 0 | * * * * * 12 * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
... .o.3.x. | 0 3 0 | 0 0 0 3 0 0 0 0 | * * * * * * 1 * * * * * * | 1 0 0 0 0 0 0 0 0 2 0 | 0 0 0 2 1
.ox ... ...&#x | 0 1 2 | 0 0 0 0 2 1 0 0 | * * * * * * * 6 * * * * * | 0 0 0 0 1 0 0 1 1 0 0 | 0 1 1 0 1
... .ox ...&#x | 0 1 2 | 0 0 0 0 2 0 1 0 | * * * * * * * * 6 * * * * | 0 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1
... ... .xx&#x | 0 2 2 | 0 0 0 1 2 0 0 1 | * * * * * * * * * 6 * * * | 0 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
..x ..x ... | 0 0 4 | 0 0 0 0 0 2 2 0 | * * * * * * * * * * 3 * * | 0 1 0 0 0 0 0 1 0 0 1 | 1 1 0 0 1
..x ... ..x | 0 0 4 | 0 0 0 0 0 2 0 2 | * * * * * * * * * * * 3 * | 0 0 1 0 0 0 0 0 1 0 1 | 1 0 1 0 1
... ..x3..x | 0 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * 2 | 0 0 0 1 0 0 0 0 0 1 1 | 1 0 0 1 1
---------------+--------+-------------------+----------------------------+-----------------------+----------
... oo.3xx.&#x ♦ 3 3 0 | 3 3 0 3 0 0 0 0 | 1 3 0 0 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 0 2 0
o.x o.x ...&#x ♦ 1 0 4 | 0 0 4 0 0 2 2 0 | 0 0 2 2 0 0 0 0 0 0 1 0 0 | * 3 * * * * * * * * * | 1 1 0 0 0
o.x ... x.x&#x ♦ 2 0 4 | 1 0 4 0 0 2 0 2 | 0 0 2 0 2 0 0 0 0 0 0 1 0 | * * 3 * * * * * * * * | 1 0 1 0 0
... o.x3x.x&#x ♦ 3 0 6 | 3 0 6 0 0 0 3 3 | 1 0 0 3 3 0 0 0 0 0 0 0 1 | * * * 2 * * * * * * * | 1 0 0 1 0
oox ... ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 0 0 | 0 0 1 0 0 2 0 1 0 0 0 0 0 | * * * * 6 * * * * * * | 0 1 1 0 0
... oox ...&#x ♦ 1 1 2 | 0 1 2 0 2 0 1 0 | 0 0 0 1 0 2 0 0 1 0 0 0 0 | * * * * * 6 * * * * * | 0 1 0 1 0
... ... xxx&#x ♦ 2 2 2 | 1 2 2 1 2 0 0 1 | 0 1 0 0 1 2 0 0 0 1 0 0 0 | * * * * * * 6 * * * * | 0 0 1 1 0
.ox .ox ...&#x ♦ 0 1 4 | 0 0 0 0 4 2 2 0 | 0 0 0 0 0 0 0 2 2 0 1 0 0 | * * * * * * * 3 * * * | 0 1 0 0 1
.ox ... .xx&#x ♦ 0 2 4 | 0 0 0 1 4 2 0 2 | 0 0 0 0 0 0 0 2 0 2 0 1 0 | * * * * * * * * 3 * * | 0 0 1 0 1
... .ox3.xx&#x ♦ 0 3 6 | 0 0 0 3 6 0 3 3 | 0 0 0 0 0 0 1 0 3 3 0 0 1 | * * * * * * * * * 2 * | 0 0 0 1 1
..x ..x3..x ♦ 0 0 12 | 0 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * * 1 | 1 0 0 0 1
---------------+--------+-------------------+----------------------------+-----------------------+----------
o.x o.x3x.x&#x ♦ 3 0 12 | 3 0 12 0 0 6 6 6 | 1 0 6 6 6 0 0 0 0 0 3 3 2 | 0 3 3 2 0 0 0 0 0 0 1 | 1 * * * *
oox oox ...&#x ♦ 1 1 4 | 0 1 4 0 4 2 2 0 | 0 0 2 2 0 4 0 2 2 0 1 0 0 | 0 1 0 0 2 2 0 1 0 0 0 | * 3 * * *
oox ... xxx&#x ♦ 2 2 4 | 1 2 4 1 4 2 0 2 | 0 1 2 0 2 4 0 2 0 2 0 1 0 | 0 0 1 0 2 0 2 0 1 0 0 | * * 3 * *
... oox3xxx&#x ♦ 3 3 6 | 3 3 6 3 6 0 3 3 | 1 3 0 3 3 6 1 0 3 3 0 0 1 | 1 0 0 1 0 3 3 0 0 1 0 | * * * 2 *
.ox .ox3.xx&#x ♦ 0 3 12 | 0 0 0 1 12 6 6 6 | 0 0 0 0 0 0 1 6 6 6 3 3 2 | 0 0 0 0 0 0 0 3 3 2 1 | * * * * 1
oox xxo3xxx&#x → height(1,2) = 1
height(1,3) = height(2,3) = sqrt(5/12) = 0.645497
o.. o..3o.. | 6 * * | 1 1 1 2 0 0 0 0 0 | 1 1 1 1 2 2 2 0 0 0 0 0 0 | 1 1 1 2 1 2 2 0 0 0 0 | 1 1 1 2 0
.o. .o.3.o. | * 6 * | 0 0 1 0 1 1 2 0 0 | 0 1 1 0 0 0 2 1 1 2 2 0 0 | 1 0 0 0 1 2 2 1 1 2 0 | 0 1 1 2 1
..o ..o3..o | * * 6 | 0 0 0 2 0 0 2 1 2 | 0 0 0 2 1 2 2 0 2 1 2 2 1 | 0 1 2 1 2 1 2 1 2 1 1 | 1 1 2 1 1
---------------+-------+---------------------+----------------------------+-----------------------+----------
... x.. ... | 2 0 0 | 3 * * * * * * * * | 1 1 0 0 2 0 0 0 0 0 0 0 0 | 1 1 0 2 0 2 0 0 0 0 0 | 1 1 0 2 0
... ... x.. | 2 0 0 | * 3 * * * * * * * | 1 0 1 0 0 2 0 0 0 0 0 0 0 | 1 0 1 2 0 0 2 0 0 0 0 | 1 0 1 2 0
oo. oo.3oo.&#x | 1 1 0 | * * 6 * * * * * * | 0 1 1 0 0 0 2 0 0 0 0 0 0 | 1 0 0 0 1 2 2 0 0 0 0 | 0 1 1 2 0
o.o o.o3o.o&#x | 1 0 1 | * * * 12 * * * * * | 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 0 | * * * * 3 * * * * | 0 1 0 0 0 0 0 1 0 2 0 0 0 | 1 0 0 0 0 2 0 1 0 2 0 | 0 1 0 2 1
... ... .x. | 0 2 0 | * * * * * 3 * * * | 0 0 1 0 0 0 0 1 0 0 2 0 0 | 1 0 0 0 0 0 2 0 1 2 0 | 0 0 1 2 1
.oo .oo3.oo&#x | 0 1 1 | * * * * * * 12 * * | 0 0 0 0 0 0 1 0 1 1 1 0 0 | 0 0 0 0 1 1 1 1 1 1 0 | 0 1 1 1 1
..x ... ... | 0 0 2 | * * * * * * * 3 * | 0 0 0 2 0 0 0 0 2 0 0 2 0 | 0 1 2 0 2 0 0 1 2 0 1 | 1 1 2 0 1
... ... ..x | 0 0 2 | * * * * * * * * 6 | 0 0 0 0 0 1 0 0 0 0 1 1 1 | 0 0 1 1 0 0 1 0 1 1 1 | 1 0 1 1 1
---------------+-------+---------------------+----------------------------+-----------------------+----------
... x..3x.. | 6 0 0 | 3 3 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 0 | 1 0 0 2 0
... xx. ...&#x | 2 2 0 | 1 0 2 0 1 0 0 0 0 | * 3 * * * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 0 | 0 1 0 2 0
... ... xx.&#x | 2 2 0 | 0 1 2 0 0 1 0 0 0 | * * 3 * * * * * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 | 0 0 1 2 0
o.x ... ...&#x | 1 0 2 | 0 0 0 2 0 0 0 1 0 | * * * 6 * * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
... x.o ...&#x | 2 0 1 | 1 0 0 2 0 0 0 0 0 | * * * * 6 * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
... ... x.x&#x | 2 0 2 | 0 1 0 2 0 0 0 0 1 | * * * * * 6 * * * * * * * | 0 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
ooo ooo3ooo&#x | 1 1 1 | 0 0 1 1 0 0 1 0 0 | * * * * * * 12 * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
... .x.3.x. | 0 6 0 | 0 0 0 0 3 3 0 0 0 | * * * * * * * 1 * * * * * | 1 0 0 0 0 0 0 0 0 2 0 | 0 0 0 2 1
.ox ... ...&#x | 0 1 2 | 0 0 0 0 0 0 2 1 0 | * * * * * * * * 6 * * * * | 0 0 0 0 1 0 0 1 1 0 0 | 0 1 1 0 1
... .xo ...&#x | 0 2 1 | 0 0 0 0 1 0 2 0 0 | * * * * * * * * * 6 * * * | 0 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * 6 * * | 0 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 3 * | 0 0 1 0 0 0 0 0 1 0 1 | 1 0 1 0 1
... ..o3..x | 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 2 | 0 0 0 1 0 0 0 0 0 1 1 | 1 0 0 1 1
---------------+-------+---------------------+----------------------------+-----------------------+----------
... xx.3xx.&#x ♦ 6 6 0 | 3 3 6 0 3 3 0 0 0 | 1 3 3 0 0 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 0 2 0
o.x x.o ...&#x ♦ 2 0 2 | 1 0 0 4 0 0 0 1 0 | 0 0 0 2 2 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * | 1 1 0 0 0
o.x ... x.x&#x ♦ 2 0 4 | 0 1 0 4 0 0 0 2 2 | 0 0 0 2 0 2 0 0 0 0 0 1 0 | * * 3 * * * * * * * * | 1 0 1 0 0
... x.o3x.x&#x ♦ 6 0 3 | 3 3 0 6 0 0 0 0 3 | 1 0 0 0 3 3 0 0 0 0 0 0 1 | * * * 2 * * * * * * * | 1 0 0 1 0
oox ... ...&#x ♦ 1 1 2 | 0 0 1 2 0 0 2 1 0 | 0 0 0 1 0 0 2 0 1 0 0 0 0 | * * * * 6 * * * * * * | 0 1 1 0 0
... xxo ...&#x ♦ 2 2 1 | 1 0 2 2 1 0 2 0 0 | 0 1 0 0 1 0 2 0 0 1 0 0 0 | * * * * * 6 * * * * * | 0 1 0 1 0
... ... xxx&#x ♦ 2 2 2 | 0 1 2 2 0 1 2 0 1 | 0 0 1 0 0 1 2 0 0 0 1 0 0 | * * * * * * 6 * * * * | 0 0 1 1 0
.ox .xo ...&#x ♦ 0 2 2 | 0 0 0 0 1 0 4 1 0 | 0 0 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * 3 * * * | 0 1 0 0 1
.ox ... .xx&#x ♦ 0 2 4 | 0 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 0 0 2 0 2 1 0 | * * * * * * * * 3 * * | 0 0 1 0 1
... .xo3.xx&#x ♦ 0 6 3 | 0 0 0 0 3 3 6 0 3 | 0 0 0 0 0 0 0 1 0 3 3 0 1 | * * * * * * * * * 2 * | 0 0 0 1 1
..x ..o3..x ♦ 0 0 6 | 0 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * * 1 | 1 0 0 0 1
---------------+-------+---------------------+----------------------------+-----------------------+----------
o.x x.o3x.x&#x ♦ 6 0 6 | 3 3 0 12 0 0 0 3 6 | 1 0 0 6 6 6 0 0 0 0 0 3 2 | 0 3 3 2 0 0 0 0 0 0 1 | 1 * * * *
oox xxo ...&#x ♦ 2 2 2 | 1 0 2 4 1 0 4 1 0 | 0 1 0 2 2 0 4 0 2 2 0 0 0 | 0 1 0 0 2 2 0 1 0 0 0 | * 3 * * *
oox ... xxx&#x ♦ 2 2 4 | 0 1 2 4 0 1 4 2 2 | 0 0 1 2 0 2 4 0 2 0 2 1 0 | 0 0 1 0 2 0 2 0 1 0 0 | * * 3 * *
... xxo3xxx&#x ♦ 6 6 3 | 3 3 6 6 3 3 6 0 3 | 1 3 3 0 3 3 6 1 0 3 3 0 1 | 1 0 0 1 0 3 3 0 0 1 0 | * * * 2 *
.ox .xo3.xx&#x ♦ 0 6 6 | 0 0 0 0 3 3 12 3 6 | 0 0 0 0 0 0 0 1 6 6 6 3 2 | 0 0 0 0 0 0 0 3 3 2 1 | * * * * 1
ooxx3xxxx&#x → height(1,2) = height(3,4) = 1
height(1,3) = height(1,4) = height(2,3) = height(2,4) = sqrt(2/3) = 0.816497
height(12,34) = 1/sqrt(6) = 0.408248
(trip || lacing-ortho hip)
o...3o... | 3 * * * | 2 1 2 2 0 0 0 0 0 0 0 0 | 1 2 2 2 1 2 2 1 2 0 0 0 0 0 0 0 0 0 0 | 1 1 2 2 1 2 1 1 2 1 0 0 0 0 0 | 1 1 2 1 1 0
.o..3.o.. | * 3 * * | 0 1 0 0 2 2 2 0 0 0 0 0 | 0 2 2 2 0 0 0 0 0 1 1 2 2 1 2 0 0 0 0 | 1 1 2 2 1 2 0 0 0 0 1 1 2 1 0 | 1 1 2 1 0 1
..o.3..o. | * * 6 * | 0 0 1 0 0 1 0 1 1 1 0 0 | 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 | 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1
...o3...o | * * * 6 | 0 0 0 1 0 0 1 0 0 1 1 1 | 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
-------------+---------+-------------------------+---------------------------------------+-------------------------------+------------
.... x... | 2 0 0 0 | 3 * * * * * * * * * * * | 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0
oo..3oo..&#x | 1 1 0 0 | * 3 * * * * * * * * * * | 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 2 1 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0
o.o.3o.o.&#x | 1 0 1 0 | * * 6 * * * * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0
o..o3o..o&#x | 1 0 0 1 | * * * 6 * * * * * * * * | 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.... .x.. | 0 2 0 0 | * * * * 3 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 | 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1
.oo.3.oo.&#x | 0 1 1 0 | * * * * * 6 * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1
.o.o3.o.o&#x | 0 1 0 1 | * * * * * * 6 * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x. .... | 0 0 2 0 | * * * * * * * 3 * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1
.... ..x. | 0 0 2 0 | * * * * * * * * 3 * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 | 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1
..oo3..oo&#x | 0 0 1 1 | * * * * * * * * * 6 * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 | 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
...x .... | 0 0 0 2 | * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
.... ...x | 0 0 0 2 | * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
-------------+---------+-------------------------+---------------------------------------+-------------------------------+------------
o...3x... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
.... xx..&#x | 2 2 0 0 | 1 2 0 0 1 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo.3ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
oo.o3oo.o&#x | 1 1 0 1 | 0 1 0 1 0 0 1 0 0 0 0 0 | * * * 6 * * * * * * * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x. ....&#x | 1 0 2 0 | 0 0 2 0 0 0 0 1 0 0 0 0 | * * * * 3 * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
.... x.x.&#x | 2 0 2 0 | 1 0 2 0 0 0 0 0 1 0 0 0 | * * * * * 3 * * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
o.oo3o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 0 1 0 0 | * * * * * * 6 * * * * * * * * * * * * | 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 0 0 1 0 | * * * * * * * 3 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
.... x..x&#x | 2 0 0 2 | 1 0 0 2 0 0 0 0 0 0 0 1 | * * * * * * * * 3 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.o..3.x.. | 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 0 0 | * * * * * * * * * 1 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.ox. ....&#x | 0 1 2 0 | 0 0 0 0 0 2 0 1 0 0 0 0 | * * * * * * * * * * 3 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
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.ooo3.ooo&#x | 0 1 1 1 | 0 0 0 0 0 1 1 0 0 1 0 0 | * * * * * * * * * * * * 6 * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 0 0 2 0 0 0 1 0 | * * * * * * * * * * * * * 3 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.... .x.x&#x | 0 2 0 2 | 0 0 0 0 1 0 2 0 0 0 0 1 | * * * * * * * * * * * * * * 3 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x.3..x. | 0 0 6 0 | 0 0 0 0 0 0 0 3 3 0 0 0 | * * * * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1
..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 0 0 1 0 2 1 0 | * * * * * * * * * * * * * * * * 3 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
.... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
...x3...x | 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
-------------+---------+-------------------------+---------------------------------------+-------------------------------+------------
oo..3xx..&#x ♦ 3 3 0 0 | 3 3 0 0 3 0 0 0 0 0 0 0 | 1 3 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 1 0 0
oox. ....&#x ♦ 1 1 2 0 | 0 1 2 0 0 2 0 1 0 0 0 0 | 0 0 2 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * | 1 1 0 0 0 0
.... xxx.&#x ♦ 2 2 2 0 | 1 2 2 0 1 2 0 0 1 0 0 0 | 0 1 2 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * | 1 0 1 0 0 0
oooo3oooo&#x ♦ 1 1 1 1 | 0 1 1 1 0 1 1 0 0 1 0 0 | 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 6 * * * * * * * * * * * | 0 1 1 0 0 0
oo.x ....&#x ♦ 1 1 0 2 | 0 1 0 2 0 0 2 0 0 0 1 0 | 0 0 0 2 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | * * * * 3 * * * * * * * * * * | 0 1 0 1 0 0
.... xx.x&#x ♦ 2 2 0 2 | 1 2 0 2 1 0 2 0 0 0 0 1 | 0 1 0 2 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 | * * * * * 3 * * * * * * * * * | 0 0 1 1 0 0
o.x.3x.x.&#x ♦ 3 0 6 0 | 3 0 6 0 0 0 0 3 3 0 0 0 | 1 0 0 0 3 3 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 1 0
o.xx ....&#x ♦ 1 0 2 2 | 0 0 2 2 0 0 0 1 0 2 1 0 | 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 1 0 0 | * * * * * * * 3 * * * * * * * | 0 1 0 0 1 0
.... x.xx&#x ♦ 2 0 2 2 | 1 0 2 2 0 0 0 0 1 2 0 1 | 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * 3 * * * * * * | 0 0 1 0 1 0
o..x3x..x&#x ♦ 3 0 0 6 | 3 0 0 6 0 0 0 0 0 0 3 3 | 1 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * * 1 * * * * * | 0 0 0 1 1 0
.ox.3.xx.&#x ♦ 0 3 6 0 | 0 0 0 0 3 6 0 3 3 0 0 0 | 0 0 0 0 0 0 0 0 0 1 3 3 0 0 0 1 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.oxx ....&#x ♦ 0 1 2 2 | 0 0 0 0 0 2 2 1 0 2 1 0 | 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 0 1 0 0 | * * * * * * * * * * * 3 * * * | 0 1 0 0 0 1
.... .xxx&#x ♦ 0 2 2 2 | 0 0 0 0 1 2 2 0 1 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 1 0 | * * * * * * * * * * * * 3 * * | 0 0 1 0 0 1
.o.x3.x.x&#x ♦ 0 3 0 6 | 0 0 0 0 3 0 6 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 1 0 0 0 3 3 0 0 0 1 | * * * * * * * * * * * * * 1 * | 0 0 0 1 0 1
..xx3..xx&#x ♦ 0 0 6 6 | 0 0 0 0 0 0 0 3 3 6 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 | * * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
-------------+---------+-------------------------+---------------------------------------+-------------------------------+------------
oox.3xxx.&#x ♦ 3 3 6 0 | 3 3 6 0 3 6 0 3 3 0 0 0 | 1 3 6 0 3 3 0 0 0 1 3 3 0 0 0 1 0 0 0 | 1 3 3 0 0 0 1 0 0 0 1 0 0 0 0 | 1 * * * * *
ooxx ....&#x ♦ 1 1 2 2 | 0 1 2 2 0 2 2 1 0 2 1 0 | 0 0 2 2 1 0 2 1 0 0 1 0 2 1 0 0 1 0 0 | 0 1 0 2 1 0 0 1 0 0 0 1 0 0 0 | * 3 * * * *
.... xxxx&#x ♦ 2 2 2 2 | 1 2 2 2 1 2 2 0 1 2 0 1 | 0 1 2 2 0 1 2 0 1 0 0 1 2 0 1 0 0 1 0 | 0 0 1 2 0 1 0 0 1 0 0 0 1 0 0 | * * 3 * * *
oo.x3xx.x&#x ♦ 3 3 0 6 | 3 3 0 6 3 0 6 0 0 0 3 3 | 1 3 0 6 0 0 0 3 3 1 0 0 0 3 3 0 0 0 1 | 1 0 0 0 3 3 0 0 0 1 0 0 0 1 0 | * * * 1 * *
o.xx3x.xx&#x ♦ 3 0 6 6 | 3 0 6 6 0 0 0 3 3 6 3 3 | 1 0 0 0 3 3 6 3 3 0 0 0 0 0 0 1 3 3 1 | 0 0 0 0 0 0 1 3 3 1 0 0 0 0 1 | * * * * 1 *
.oxx3.xxx&#x ♦ 0 3 6 6 | 0 0 0 0 3 6 6 3 3 6 3 3 | 0 0 0 0 0 0 0 0 0 1 3 3 6 3 3 1 3 3 1 | 0 0 0 0 0 0 0 0 0 0 1 3 3 1 1 | * * * * * 1
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