Acronym | penppy |
Name |
penp pyramid, vertex-pyramid of ril |
|,>,O device | line pyramid pyramid pyramid prism pyramid = |>>>|> |
Circumradius | sqrt(5/7) = 0.845154 |
Lace city in approx. ASCII-art |
o3o3o3o x3o3o3o x3o3o3o |
Face vector | 11, 35, 55, 50, 27, 8 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox3oo3oo3oo ox&#x → height = sqrt(7/20) = 0.591608
(pt || penp)
o.3o.3o.3o. o. | 1 * ♦ 10 0 0 | 20 5 0 0 | 20 10 0 0 | 10 10 0 0 | 2 5 0
.o3.o3.o3.o .o | * 10 | 1 4 1 | 4 1 6 4 | 6 4 4 6 | 4 6 1 4 | 1 4 1
------------------+------+---------+------------+-------------+-----------+------
oo3oo3oo3oo oo&#x | 1 1 | 10 * * | 4 1 0 0 | 6 4 0 0 | 4 6 0 0 | 1 4 0
.x .. .. .. .. | 0 2 | * 20 * | 1 0 3 1 | 3 1 3 3 | 3 3 1 3 | 1 3 1
.. .. .. .. .x | 0 2 | * * 5 | 0 1 0 4 | 0 4 0 6 | 0 6 0 4 | 0 4 1
------------------+------+---------+------------+-------------+-----------+------
ox .. .. .. ..&#x | 1 2 | 2 1 0 | 20 * * * | 3 1 0 0 | 3 3 0 0 | 1 3 0
.. .. .. .. ox&#x | 1 2 | 2 0 1 | * 5 * * ♦ 0 4 0 0 | 0 6 0 0 | 0 4 0
.x3.o .. .. .. | 0 3 | 0 3 0 | * * 20 * | 1 0 2 1 | 2 1 1 2 | 1 2 1
.x .. .. .. .x | 0 4 | 0 2 2 | * * * 10 | 0 1 0 3 | 0 3 0 3 | 0 3 1
------------------+------+---------+------------+-------------+-----------+------
ox3oo .. .. ..&#x ♦ 1 3 | 3 3 0 | 3 0 1 0 | 20 * * * | 2 1 0 0 | 1 2 0
ox .. .. .. ox&#x ♦ 1 4 | 4 2 2 | 2 2 0 1 | * 10 * * | 0 3 0 0 | 0 3 0
.x3.o3.o .. .. ♦ 0 4 | 0 6 0 | 0 0 4 0 | * * 10 * | 1 0 1 1 | 1 1 1
.x3.o .. .. .x ♦ 0 6 | 0 6 3 | 0 0 2 3 | * * * 10 | 0 1 0 2 | 0 2 1
------------------+------+---------+------------+-------------+-----------+------
ox3oo3oo .. ..&#x ♦ 1 4 | 4 6 0 | 6 0 4 0 | 4 0 1 0 | 10 * * * | 1 1 0
ox3oo .. .. ox&#x ♦ 1 6 | 6 6 3 | 6 3 2 3 | 2 3 0 1 | * 10 * * | 0 2 0
.x3.o3.o3.o .. ♦ 0 5 | 0 10 0 | 0 0 10 0 | 0 0 5 0 | * * 2 * | 1 0 1
.x3.o3.o .. .x ♦ 0 8 | 0 12 4 | 0 0 8 6 | 0 0 2 4 | * * * 5 | 0 1 1
------------------+------+---------+------------+-------------+-----------+------
ox3oo3oo3oo ..&#x ♦ 1 5 | 5 10 0 | 10 0 10 0 | 10 0 5 0 | 5 0 1 0 | 2 * *
ox3oo3oo .. ox&#x ♦ 1 8 | 8 12 4 | 12 4 8 6 | 8 6 2 4 | 2 4 0 1 | * 5 *
.x3.o3.o3.o .x ♦ 0 10 | 0 20 5 | 0 0 20 10 | 0 0 10 10 | 0 0 2 5 | * * 1
oxx3ooo3ooo3ooo&#x → height(1,2) = height(1,3) = sqrt(3/5) = 0.774597 height(2,3) = 1 o..3o..3o..3o.. | 1 * * ♦ 5 5 0 0 0 | 10 5 10 0 0 0 | 10 10 10 0 0 0 | 5 10 5 0 0 0 | 1 5 1 0 .o.3.o.3.o.3.o. | * 5 * | 1 0 4 1 0 | 4 1 0 6 4 0 | 6 4 0 4 6 0 | 4 6 0 1 4 0 | 1 4 0 1 ..o3..o3..o3..o | * * 5 | 0 1 0 1 4 | 0 1 4 0 4 6 | 0 4 6 0 6 4 | 0 6 4 0 4 1 | 0 4 1 1 -------------------+-------+-------------+------------------+-----------------+--------------+-------- oo.3oo.3oo.3oo.&#x | 1 1 0 | 5 * * * * | 4 1 0 0 0 0 | 6 4 0 0 0 0 | 4 6 0 0 0 0 | 1 4 0 0 o.o3o.o3o.o3o.o&#x | 1 0 1 | * 5 * * * | 0 1 4 0 0 0 | 0 4 6 0 0 0 | 0 6 4 0 0 0 | 0 4 1 0 .x. ... ... ... | 0 2 0 | * * 10 * * | 1 0 0 3 1 0 | 3 1 0 3 3 0 | 3 3 0 1 3 0 | 1 3 0 1 .oo3.oo3.oo3.oo&#x | 0 1 1 | * * * 5 * | 0 1 0 0 4 0 | 0 4 0 0 6 0 | 0 6 0 0 4 0 | 0 4 0 1 ..x ... ... ... | 0 0 2 | * * * * 10 | 0 0 1 0 1 3 | 0 1 3 0 3 3 | 0 3 3 0 3 1 | 0 3 1 1 -------------------+-------+-------------+------------------+-----------------+--------------+-------- ox. ... ... ...&#x | 1 2 0 | 2 0 1 0 0 | 10 * * * * * | 3 1 0 0 0 0 | 3 3 0 0 0 0 | 1 3 0 0 ooo3ooo3ooo3ooo&#x | 1 1 1 | 1 1 0 1 0 | * 5 * * * * ♦ 0 4 0 0 0 0 | 0 6 0 0 0 0 | 0 4 0 0 o.x ... ... ...&#x | 1 0 2 | 0 2 0 0 1 | * * 10 * * * | 0 1 3 0 0 0 | 0 3 3 0 0 0 | 0 3 1 0 .x.3.o. ... ... | 0 3 0 | 0 0 3 0 0 | * * * 10 * * | 1 0 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 .xx ... ... ...&#x | 0 2 2 | 0 0 1 2 1 | * * * * 10 * | 0 1 0 0 3 0 | 0 3 0 0 3 0 | 0 3 0 1 ..x3..o ... ... | 0 0 3 | 0 0 0 0 3 | * * * * * 10 | 0 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 -------------------+-------+-------------+------------------+-----------------+--------------+-------- ox.3oo. ... ...&#x ♦ 1 3 0 | 3 0 3 0 0 | 3 0 0 1 0 0 | 10 * * * * * | 2 1 0 0 0 0 | 1 2 0 0 oxx ... ... ...&#x ♦ 1 2 2 | 2 2 1 2 1 | 1 2 1 0 1 0 | * 10 * * * * | 0 3 0 0 0 0 | 0 3 0 0 o.x3o.o ... ...&#x ♦ 1 0 3 | 0 3 0 0 3 | 0 0 3 0 0 1 | * * 10 * * * | 0 1 2 0 0 0 | 0 2 1 0 .x.3.o.3.o. ... ♦ 0 4 0 | 0 0 6 0 0 | 0 0 0 4 0 0 | * * * 5 * * | 1 0 0 1 1 0 | 1 1 0 1 .xx3.oo ... ...&#x ♦ 0 3 3 | 0 0 3 3 3 | 0 0 0 1 3 1 | * * * * 10 * | 0 1 0 0 2 0 | 0 2 0 1 ..x3..o3..o ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * 5 | 0 0 1 0 1 1 | 0 1 1 1 -------------------+-------+-------------+------------------+-----------------+--------------+-------- ox.3oo.3oo. ...&#x ♦ 1 4 0 | 4 0 6 0 0 | 6 0 0 4 0 0 | 4 0 0 1 0 0 | 5 * * * * * | 1 1 0 0 oxx3ooo ... ...&#x ♦ 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 0 1 0 | * 10 * * * * | 0 2 0 0 o.x3o.o3o.o ...&#x ♦ 1 0 4 | 0 4 0 0 6 | 0 0 6 0 0 4 | 0 0 4 0 0 1 | * * 5 * * * | 0 1 1 0 .x.3.o.3.o.3.o. ♦ 0 5 0 | 0 0 10 0 0 | 0 0 0 10 0 0 | 0 0 0 5 0 0 | * * * 1 * * | 1 0 0 1 .xx3.oo3.oo ...&#x ♦ 0 4 4 | 0 0 6 4 6 | 0 0 0 4 6 4 | 0 0 0 1 4 1 | * * * * 5 * | 0 1 0 1 ..x3..o3..o3..o ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * 1 | 0 0 1 1 -------------------+-------+-------------+------------------+-----------------+--------------+-------- ox.3oo.3oo.3oo.&#x ♦ 1 5 0 | 5 0 10 0 0 | 10 0 0 10 0 0 | 10 0 0 5 0 0 | 5 0 0 1 0 0 | 1 * * * oxx3ooo3ooo ...&#x ♦ 1 4 4 | 4 4 6 4 6 | 6 4 6 4 6 4 | 4 6 4 1 4 1 | 1 4 1 0 1 0 | * 5 * * o.x3o.o3o.o3o.o&#x ♦ 1 0 5 | 0 5 0 0 10 | 0 0 10 0 0 10 | 0 0 10 0 0 5 | 0 0 5 0 0 1 | * * 1 * .xx3.oo3.oo3.oo&#x ♦ 0 5 5 | 0 0 10 5 10 | 0 0 0 10 10 10 | 0 0 0 5 10 5 | 0 0 0 1 5 1 | * * * 1
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