| Acronym | hexippy |
| Name |
hexip pyramid, vertex pyramid of rag |
| Circumradius | 1 |
|
Lace city in approx. ASCII-art |
o where:
o = o3o3o4o (point)
h h h = x3o3o4o (hex)
|
| Face vector | 17, 72, 144, 152, 82, 19 |
| Confer |
|
Incidence matrix according to Dynkin symbol
ox3oo3oo4oo ox&#x → height = 1/2
(pt || hexip)
o.3o.3o.4o. o. | 1 * ♦ 16 0 0 | 48 8 0 0 | 64 24 0 0 | 32 32 0 0 | 2 16 0
.o3.o3.o4.o .o | * 16 | 1 6 1 | 6 3 12 6 | 12 6 8 12 | 8 12 1 8 | 1 8 1
------------------+------+---------+------------+-------------+------------+-------
oo3oo3oo4oo oo&#x | 1 1 | 16 * * | 6 1 0 0 | 12 6 0 0 | 8 12 0 0 | 1 8 0
.x .. .. .. .. | 0 2 | * 48 * | 1 0 4 1 | 4 1 4 4 | 4 4 1 4 | 1 4 1
.. .. .. .. .x | 0 2 | * * 8 | 0 1 0 6 | 0 6 0 12 | 0 12 0 8 | 0 8 1
------------------+------+---------+------------+-------------+------------+-------
ox .. .. .. ..&#x | 1 2 | 2 1 0 | 48 * * * | 4 1 0 0 | 4 4 0 0 | 1 4 0
.. .. .. .. ox&#x | 1 2 | 2 0 1 | * 8 * * ♦ 0 6 0 0 | 0 12 0 0 | 0 8 0
.x3.o .. .. .. | 0 3 | 0 3 0 | * * 64 * | 1 0 2 1 | 2 1 1 2 | 1 2 1
.x .. .. .. .x | 0 4 | 0 2 2 | * * * 24 | 0 1 0 4 | 0 4 0 4 | 0 4 1
------------------+------+---------+------------+-------------+------------+-------
ox3oo .. .. ..&#x ♦ 1 3 | 3 3 0 | 3 0 1 0 | 64 * * * | 2 1 0 0 | 1 2 0
ox .. .. .. ox&#x ♦ 1 4 | 4 2 2 | 2 2 0 1 | * 24 * * | 0 4 0 0 | 0 4 0
.x3.o3.o .. .. ♦ 0 4 | 0 6 0 | 0 0 4 0 | * * 32 * | 1 0 1 1 | 1 1 1
.x3.o .. .. .x ♦ 0 6 | 0 6 3 | 0 0 2 3 | * * * 32 | 0 1 0 2 | 0 2 1
------------------+------+---------+------------+-------------+------------+-------
ox3oo3oo .. ..&#x ♦ 1 4 | 4 6 0 | 6 0 4 0 | 4 0 1 0 | 32 * * * | 1 1 0
ox3oo .. .. ox&#x ♦ 1 6 | 6 6 3 | 6 3 2 3 | 2 3 0 1 | * 32 * * | 0 2 0
.x3.o3.o4.o .. ♦ 0 8 | 0 24 0 | 0 0 32 0 | 0 0 16 0 | * * 2 * | 1 0 1
.x3.o3.o .. .x ♦ 0 8 | 0 12 4 | 0 0 8 6 | 0 0 2 4 | * * * 16 | 0 1 1
------------------+------+---------+------------+-------------+------------+-------
ox3oo3oo4oo ..&#x ♦ 1 8 | 8 24 0 | 24 0 32 0 | 32 0 16 0 | 16 0 1 0 | 2 * *
ox3oo3oo .. ox&#x ♦ 1 8 | 8 12 4 | 12 4 8 6 | 8 6 2 4 | 2 4 0 1 | * 16 *
.x3.o3.o4.o .x ♦ 0 16 | 0 48 8 | 0 0 64 24 | 0 0 32 32 | 0 0 2 16 | * * 1
xoo3ooo3oox xox&#x → height(1,2) = height(2,3) = sqrt(3/8) = 0.612372
height(1,3) = 1/sqrt(2) = 0.707107
o..3o..3o.. o.. | 8 * * | 3 1 1 3 0 0 0 | 3 3 3 1 6 3 3 3 0 0 0 0 | 1 3 3 3 3 3 6 1 3 6 3 3 0 0 0 0 | 1 1 3 1 3 3 1 3 3 6 1 3 0 0 0 | 1 1 1 3 3 1 0
.o.3.o.3.o. .o. | * 1 * ♦ 0 0 8 0 8 0 0 | 0 0 12 4 0 0 0 24 12 4 0 0 | 0 0 8 6 0 0 0 0 0 24 24 12 8 6 0 0 | 0 2 4 0 0 0 0 8 12 12 8 12 2 4 0 | 1 0 2 4 6 4 1
..o3..o3..o ..o | * * 8 | 0 0 0 3 1 3 1 | 0 0 0 0 3 6 3 3 3 1 3 3 | 0 0 0 0 1 3 3 3 6 3 6 3 3 3 1 3 | 0 0 0 1 1 3 3 1 3 3 3 6 1 3 1 | 0 1 1 1 3 3 1
-------------------+-------+------------------+-------------------------------+---------------------------------------+----------------------------------+--------------
x.. ... ... ... | 2 0 0 | 12 * * * * * * | 2 1 1 0 2 0 0 0 0 0 0 0 | 1 2 2 1 2 1 2 0 0 2 0 0 0 0 0 0 | 1 1 2 1 2 1 0 2 1 2 0 0 0 0 0 | 1 1 1 2 1 0 0
... ... ... x.. | 2 0 0 | * 4 * * * * * | 0 3 0 1 0 0 3 0 0 0 0 0 | 0 3 0 3 0 0 6 0 3 0 0 3 0 0 0 0 | 1 0 3 0 3 3 1 0 0 6 0 3 0 0 0 | 1 1 0 3 3 1 0
oo.3oo.3oo. oo.&#x | 1 1 0 | * * 8 * * * * | 0 0 3 1 0 0 0 3 0 0 0 0 | 0 0 3 3 0 0 0 0 0 6 3 3 0 0 0 0 | 0 1 3 0 0 0 0 3 3 6 1 3 0 0 0 | 1 0 1 3 3 1 0
o.o3o.o3o.o o.o&#x | 1 0 1 | * * * 24 * * * | 0 0 0 0 2 2 1 1 0 0 0 0 | 0 0 0 0 1 2 2 1 2 2 2 1 0 0 0 0 | 0 0 0 1 1 2 1 1 2 2 1 2 0 0 0 | 0 1 1 1 2 1 0
.oo3.oo3.oo .oo&#x | 0 1 1 | * * * * 8 * * | 0 0 0 0 0 0 0 3 3 1 0 0 | 0 0 0 0 0 0 0 0 0 3 6 3 3 3 0 0 | 0 0 0 0 0 0 0 1 3 3 3 6 1 3 0 | 0 0 1 1 3 3 1
... ... ..x ... | 0 0 2 | * * * * * 12 * | 0 0 0 0 0 2 0 0 1 0 2 1 | 0 0 0 0 0 1 0 2 2 0 2 0 2 1 1 2 | 0 0 0 1 0 1 2 0 1 0 2 2 1 2 1 | 0 1 1 0 1 2 1
... ... ... ..x | 0 0 2 | * * * * * * 4 | 0 0 0 0 0 0 3 0 0 1 0 3 | 0 0 0 0 0 0 3 0 6 0 0 3 0 3 0 3 | 0 0 0 0 1 3 3 0 0 3 0 6 0 3 1 | 0 1 0 1 3 3 1
-------------------+-------+------------------+-------------------------------+---------------------------------------+----------------------------------+--------------
x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 0 | 8 * * * * * * * * * * * | 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0
x.. ... ... x.. | 4 0 0 | 2 2 0 0 0 0 0 | * 6 * * * * * * * * * * | 0 2 0 1 0 0 2 0 0 0 0 0 0 0 0 0 | 1 0 2 0 2 1 0 0 0 2 0 0 0 0 0 | 1 1 0 2 1 0 0
xo. ... ... ...&#x | 2 1 0 | 1 0 2 0 0 0 0 | * * 12 * * * * * * * * * | 0 0 2 1 0 0 0 0 0 2 0 0 0 0 0 0 | 0 1 2 0 0 0 0 2 1 2 0 0 0 0 0 | 1 0 1 2 1 0 0
... ... ... xo.&#x | 2 1 0 | 0 1 2 0 0 0 0 | * * * 4 * * * * * * * * ♦ 0 0 0 3 0 0 0 0 0 0 0 3 0 0 0 0 | 0 0 3 0 0 0 0 0 0 6 0 3 0 0 0 | 1 0 0 3 3 1 0
x.o ... ... ...&#x | 2 0 1 | 1 0 0 2 0 0 0 | * * * * 24 * * * * * * * | 0 0 0 0 1 1 1 0 0 1 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 0
... ... o.x ...&#x | 1 0 2 | 0 0 0 2 0 1 0 | * * * * * 24 * * * * * * | 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 | 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 | 0 1 1 0 1 1 0
... ... ... x.x&#x | 2 0 2 | 0 1 0 2 0 0 1 | * * * * * * 12 * * * * * | 0 0 0 0 0 0 2 0 2 0 0 1 0 0 0 0 | 0 0 0 0 1 2 1 0 0 2 0 2 0 0 0 | 0 1 0 1 2 1 0
ooo3ooo3ooo ooo&#x | 1 1 1 | 0 0 1 1 1 0 0 | * * * * * * * 24 * * * * | 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 | 0 0 0 0 0 0 0 1 2 2 1 2 0 0 0 | 0 0 1 1 2 1 0
... ... .ox ...&#x | 0 1 2 | 0 0 0 0 2 1 0 | * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 0 | 0 0 0 0 0 0 0 0 1 0 2 2 1 2 0 | 0 0 1 0 1 2 1
... ... ... .ox&#x | 0 1 2 | 0 0 0 0 2 0 1 | * * * * * * * * * 4 * * ♦ 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 | 0 0 0 0 0 0 0 0 0 3 0 6 0 3 0 | 0 0 0 1 3 3 1
... ..o3..x ... | 0 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 | 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 | 0 1 1 0 0 1 1
... ... ..x ..x | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 | 0 0 0 0 0 1 2 0 0 0 0 2 0 2 1 | 0 1 0 0 1 2 1
-------------------+-------+------------------+-------------------------------+---------------------------------------+----------------------------------+--------------
x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0
x..3o.. ... x.. ♦ 6 0 0 | 6 3 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0
xo.3oo. ... ...&#x ♦ 3 1 0 | 3 0 3 0 0 0 0 | 1 0 3 0 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0
xo. ... ... xo.&#x ♦ 4 1 0 | 2 2 4 0 0 0 0 | 0 1 2 2 0 0 0 0 0 0 0 0 | * * * 6 * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 | 1 0 0 2 1 0 0
x.o3o.o ... ...&#x ♦ 3 0 1 | 3 0 0 3 0 0 0 | 1 0 0 0 3 0 0 0 0 0 0 0 | * * * * 8 * * * * * * * * * * * | 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0
x.o ... o.x ...&#x ♦ 2 0 2 | 1 0 0 4 0 1 0 | 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * * 12 * * * * * * * * * * | 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 | 0 1 1 0 1 0 0
x.o ... ... x.x&#x ♦ 4 0 2 | 2 2 0 4 0 0 1 | 0 1 0 0 2 0 2 0 0 0 0 0 | * * * * * * 12 * * * * * * * * * | 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 | 0 1 0 1 1 0 0
... o.o3o.x ...&#x ♦ 1 0 3 | 0 0 0 3 0 3 0 | 0 0 0 0 0 3 0 0 0 0 1 0 | * * * * * * * 8 * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 | 0 1 1 0 0 1 0
... ... o.x x.x&#x ♦ 2 0 4 | 0 1 0 4 0 2 2 | 0 0 0 0 0 2 2 0 0 0 0 1 | * * * * * * * * 12 * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 | 0 1 0 0 1 1 0
xoo ... ... ...&#x ♦ 2 1 1 | 1 0 2 2 1 0 0 | 0 0 1 0 1 0 0 2 0 0 0 0 | * * * * * * * * * 24 * * * * * * | 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0 0
... ... oox ...&#x ♦ 1 1 2 | 0 0 1 2 2 1 0 | 0 0 0 0 0 1 0 2 1 0 0 0 | * * * * * * * * * * 24 * * * * * | 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 1 0 1 1 0
... ... ... xox&#x ♦ 2 1 2 | 0 1 2 2 2 0 1 | 0 0 0 1 0 0 1 2 0 1 0 0 | * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 | 0 0 0 1 2 1 0
... .oo3.ox ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 3 0 1 0 | * * * * * * * * * * * * 8 * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 | 0 0 1 0 0 1 1
... ... .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 | * * * * * * * * * * * * * 6 * * | 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 | 0 0 0 0 1 2 1
..o3..o3..x ... ♦ 0 0 4 | 0 0 0 0 0 6 0 | 0 0 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * * * * 2 * | 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 | 0 1 1 0 0 0 1
... ..o3..x ..x ♦ 0 0 6 | 0 0 0 0 0 6 3 | 0 0 0 0 0 0 0 0 0 0 2 3 | * * * * * * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 1 0 0 0 1 1
-------------------+-------+------------------+-------------------------------+---------------------------------------+----------------------------------+--------------
x..3o..3o.. x.. ♦ 8 0 0 | 12 4 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0
xo.3oo.3oo. ...&#x ♦ 4 1 0 | 6 0 4 0 0 0 0 | 4 0 6 0 0 0 0 0 0 0 0 0 | 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * | 1 0 1 0 0 0 0
xo.3oo. ... xo.&#x ♦ 6 1 0 | 6 3 6 0 0 0 0 | 2 3 6 3 0 0 0 0 0 0 0 0 | 0 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * | 1 0 0 1 0 0 0
x.o3o.o3o.x ...&#x ♦ 4 0 4 | 6 0 0 12 0 6 0 | 4 0 0 0 12 12 0 0 0 0 4 0 | 1 0 0 0 4 6 0 4 0 0 0 0 0 0 1 0 | * * * 2 * * * * * * * * * * * | 0 1 1 0 0 0 0
x.o3o.o ... x.x&#x ♦ 6 0 2 | 6 3 0 6 0 0 1 | 2 3 0 0 6 0 3 0 0 0 0 0 | 0 1 0 0 2 0 3 0 0 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * * * * | 0 1 0 1 0 0 0
x.o ... o.x x.x&#x ♦ 4 0 4 | 2 2 0 8 0 2 2 | 0 1 0 0 4 4 4 0 0 0 0 1 | 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 | * * * * * 6 * * * * * * * * * | 0 1 0 0 1 0 0
... o.o3o.x x.x&#x ♦ 2 0 6 | 0 1 0 6 0 6 3 | 0 0 0 0 0 6 3 0 0 0 2 3 | 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 1 | * * * * * * 4 * * * * * * * * | 0 1 0 0 0 1 0
xoo3ooo ... ...&#x ♦ 3 1 1 | 3 0 3 3 1 0 0 | 1 0 3 0 3 0 0 3 0 0 0 0 | 0 0 1 0 1 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * * 8 * * * * * * * | 0 0 1 1 0 0 0
xoo ... oox ...&#x ♦ 2 1 2 | 1 0 2 4 2 1 0 | 0 0 1 0 2 2 0 4 1 0 0 0 | 0 0 0 0 0 1 0 0 0 2 2 0 0 0 0 0 | * * * * * * * * 12 * * * * * * | 0 0 1 0 1 0 0
xoo ... ... xox&#x ♦ 4 1 2 | 2 2 4 4 2 0 1 | 0 1 2 2 2 0 2 4 0 1 0 0 | 0 0 0 1 0 0 1 0 0 2 0 2 0 0 0 0 | * * * * * * * * * 12 * * * * * | 0 0 0 1 1 0 0
... ooo3oox ...&#x ♦ 1 1 3 | 0 0 1 3 3 3 0 | 0 0 0 0 0 3 0 3 3 0 1 0 | 0 0 0 0 0 0 0 1 0 0 3 0 1 0 0 0 | * * * * * * * * * * 8 * * * * | 0 0 1 0 0 1 0
... ... oox xox&#x ♦ 2 1 4 | 0 1 2 4 4 2 2 | 0 0 0 1 0 2 2 4 2 2 0 1 | 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 0 | * * * * * * * * * * * 12 * * * | 0 0 0 0 1 1 0
.oo3.oo3.ox ...&#x ♦ 0 1 4 | 0 0 0 0 4 6 0 | 0 0 0 0 0 0 0 0 6 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 4 0 1 0 | * * * * * * * * * * * * 2 * * | 0 0 1 0 0 0 1
... .oo3.ox .ox&#x ♦ 0 1 6 | 0 0 0 0 6 6 3 | 0 0 0 0 0 0 0 0 6 3 2 3 | 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 1 | * * * * * * * * * * * * * 4 * | 0 0 0 0 0 1 1
..o3..o3..x ..x ♦ 0 0 8 | 0 0 0 0 0 12 4 | 0 0 0 0 0 0 0 0 0 0 8 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 | * * * * * * * * * * * * * * 1 | 0 1 0 0 0 0 1
-------------------+-------+------------------+-------------------------------+---------------------------------------+----------------------------------+--------------
xo.3oo.3oo. xo.&#x ♦ 8 1 0 | 12 4 8 0 0 0 0 | 8 6 12 4 0 0 0 0 0 0 0 0 | 2 4 8 6 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 4 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * *
x.o3o.o3o.x x.x&#x ♦ 8 0 8 | 12 4 0 24 0 12 4 | 8 6 0 0 24 24 12 0 0 0 8 6 | 2 4 0 0 8 12 12 8 12 0 0 0 0 0 2 4 | 1 0 0 2 4 6 4 0 0 0 0 0 0 0 1 | * 1 * * * * *
xoo3ooo3oox ...&#x ♦ 4 1 4 | 6 0 4 12 4 6 0 | 4 0 6 0 12 12 0 12 6 0 4 0 | 1 0 4 0 4 6 0 4 0 12 12 0 4 0 1 0 | 0 1 0 1 0 0 0 4 6 0 4 0 1 0 0 | * * 2 * * * *
xoo3ooo ... xox&#x ♦ 6 1 2 | 6 3 6 6 2 0 1 | 2 3 6 3 6 0 3 6 0 1 0 0 | 0 1 2 3 2 0 3 0 0 6 0 3 0 0 0 0 | 0 0 1 0 1 0 0 2 0 3 0 0 0 0 0 | * * * 4 * * *
xoo ... oox xox&#x ♦ 4 1 4 | 2 2 4 8 4 2 2 | 0 1 2 2 4 4 4 8 2 2 0 1 | 0 0 0 1 0 2 2 0 2 4 4 4 0 1 0 0 | 0 0 0 0 0 1 0 0 2 2 0 2 0 0 0 | * * * * 6 * *
... ooo3oox xox&#x ♦ 2 1 6 | 0 1 2 6 6 6 3 | 0 0 0 1 0 6 3 6 6 3 2 3 | 0 0 0 0 0 0 0 2 3 0 6 3 2 3 0 1 | 0 0 0 0 0 0 1 0 0 0 2 3 0 1 0 | * * * * * 4 *
.oo3.oo3.ox .ox&#x ♦ 0 1 8 | 0 0 0 0 8 12 4 | 0 0 0 0 0 0 0 0 12 4 8 6 | 0 0 0 0 0 0 0 0 0 0 0 0 8 6 2 4 | 0 0 0 0 0 0 0 0 0 0 0 0 2 4 1 | * * * * * * 1
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