Acronym | dotpy |
Name |
dodecateron pyramid, vertex pyramid of mo |
Circumradius | 1 |
Lace city in approx. ASCII-art |
o -- o3o3o3o3o (point) o A V o -- o3o3x3o3o (dot) where: o = o3o o3o (point) A = x3o x3o (triddip) V = o3x o3x (bi-inv. triddip) |
Face vector | 21, 110, 210, 180, 72, 13 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3oo3ox3oo3oo&#x → height = 1/2
(pt || dot)
o.3o.3o.3o.3o. | 1 * ♦ 20 0 | 90 0 0 | 60 60 0 0 0 | 15 30 15 0 0 | 6 6 0
.o3.o3.o3.o3.o | * 20 ♦ 1 9 | 9 9 9 | 9 9 3 9 3 | 3 9 3 3 3 | 3 3 1
------------------+------+-------+----------+----------------+--------------+------
oo3oo3oo3oo3oo&#x | 1 1 | 20 * ♦ 9 0 0 | 9 9 0 0 0 | 3 9 3 0 0 | 3 3 0
.. .. .x .. .. | 0 2 | * 90 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1
------------------+------+-------+----------+----------------+--------------+------
.. .. ox .. ..&#x | 1 2 | 2 1 | 90 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0
.. .o3.x .. .. | 0 3 | 0 3 | * 60 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1
.. .. .x3.o .. | 0 3 | 0 3 | * * 60 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1
------------------+------+-------+----------+----------------+--------------+------
.. oo3ox .. ..&#x ♦ 1 3 | 3 3 | 3 1 0 | 60 * * * * | 1 2 0 0 0 | 2 1 0
.. .. ox3oo ..&#x ♦ 1 3 | 3 3 | 3 0 1 | * 60 * * * | 0 2 1 0 0 | 1 2 0
.o3.o3.x .. .. ♦ 0 4 | 0 6 | 0 4 0 | * * 15 * * | 1 0 0 2 0 | 2 0 1
.. .o3.x3.o .. ♦ 0 6 | 0 12 | 0 4 4 | * * * 30 * | 0 1 0 1 1 | 1 1 1
.. .. .x3.o3.o ♦ 0 4 | 0 6 | 0 0 4 | * * * * 15 | 0 0 1 0 2 | 0 2 1
------------------+------+-------+----------+----------------+--------------+------
oo3oo3ox .. ..&#x ♦ 1 4 | 4 6 | 6 4 0 | 4 0 1 0 0 | 15 * * * * | 2 0 0
.. oo3ox3oo ..&#x ♦ 1 6 | 6 12 | 12 4 4 | 4 4 0 1 0 | * 30 * * * | 1 1 0
.. .. ox3oo3oo&#x ♦ 1 4 | 4 6 | 6 0 4 | 0 4 0 0 1 | * * 15 * * | 0 2 0
.o3.o3.x3.o .. ♦ 0 10 | 0 30 | 0 20 10 | 0 0 5 5 0 | * * * 6 * | 1 0 1
.. .o3.x3.o3.o ♦ 0 10 | 0 30 | 0 10 20 | 0 0 0 5 5 | * * * * 6 | 0 1 1
------------------+------+-------+----------+----------------+--------------+------
oo3oo3ox3oo ..&#x ♦ 1 10 | 10 30 | 30 20 10 | 20 10 5 5 0 | 5 5 0 1 0 | 6 * *
.. oo3ox3oo3oo&#x ♦ 1 10 | 10 30 | 30 10 20 | 10 20 0 5 5 | 0 5 5 0 1 | * 6 *
.o3.o3.x3.o3.o ♦ 0 20 | 0 90 | 0 60 60 | 0 0 15 30 15 | 0 0 0 6 6 | * * 1
or o.3o.3o.3o.3o. | 1 * ♦ 20 0 | 90 0 | 120 0 0 | 30 30 0 | 12 0 .o3.o3.o3.o3.o | * 20 ♦ 1 9 | 9 18 | 18 6 9 | 6 9 6 | 6 1 --------------------+------+-------+--------+-----------+----------+----- oo3oo3oo3oo3oo&#x | 1 1 | 20 * ♦ 9 0 | 18 0 0 | 6 9 0 | 6 0 .. .. .x .. .. | 0 2 | * 90 | 1 4 | 4 2 4 | 2 4 4 | 4 1 --------------------+------+-------+--------+-----------+----------+----- .. .. ox .. ..&#x | 1 2 | 2 1 | 90 * | 4 0 0 | 2 4 0 | 4 0 .. .o3.x .. .. & | 0 3 | 0 3 | * 120 | 1 1 2 | 1 2 3 | 3 1 --------------------+------+-------+--------+-----------+----------+----- .. oo3ox .. ..&#x & ♦ 1 3 | 3 3 | 3 1 | 120 * * | 1 2 0 | 3 0 .o3.o3.x .. .. & ♦ 0 4 | 0 6 | 0 4 | * 30 * | 1 0 2 | 2 1 .. .o3.x3.o .. ♦ 0 6 | 0 12 | 0 8 | * * 30 | 0 1 2 | 2 1 --------------------+------+-------+--------+-----------+----------+----- oo3oo3ox .. ..&#x & ♦ 1 4 | 4 6 | 6 4 | 4 1 0 | 30 * * | 2 0 .. oo3ox3oo ..&#x ♦ 1 6 | 6 12 | 12 8 | 8 0 1 | * 30 * | 2 0 .o3.o3.x3.o .. & ♦ 0 10 | 0 30 | 0 30 | 0 5 5 | * * 12 | 1 1 --------------------+------+-------+--------+-----------+----------+----- oo3oo3ox3oo ..&#x & ♦ 1 10 | 10 30 | 30 30 | 30 5 5 | 5 5 1 | 12 * .o3.o3.x3.o3.o ♦ 0 20 | 0 90 | 0 120 | 0 30 30 | 0 0 12 | * 1
ooo3xoo3oox3ooo&#x → height(1,2) = height(2,3) = sqrt(2/5) = 0.632456 height(1,3) = sqrt(3/5) = 0.774597 o..3o..3o..3o.. | 10 * * ♦ 6 1 3 0 0 | 3 6 6 6 3 3 0 0 0 | 3 2 3 6 3 6 1 6 3 0 0 0 0 | 1 3 2 3 2 3 6 1 0 0 0 | 1 1 3 2 0 .o.3.o.3.o.3.o. | * 1 * ♦ 0 10 0 10 0 | 0 0 30 0 0 30 30 0 0 | 0 0 10 20 0 0 0 30 30 20 10 0 0 | 0 5 5 0 0 10 20 10 5 5 0 | 1 0 5 5 1 ..o3..o3..o3..o | * * 10 ♦ 0 0 3 1 6 | 0 0 0 3 6 3 6 6 3 | 0 0 0 0 1 6 3 3 6 6 3 2 3 | 0 0 0 2 3 1 6 3 2 3 1 | 0 1 2 3 1 -------------------+---------+----------------+----------------------------+------------------------------------+--------------------------+---------- ... x.. ... ... | 2 0 0 | 30 * * * * | 1 2 1 1 0 0 0 0 0 | 2 1 1 2 1 2 0 1 0 0 0 0 0 | 1 2 1 2 1 1 2 0 0 0 0 | 1 1 2 1 0 oo.3oo.3oo.3oo.&#x | 1 1 0 | * 10 * * * ♦ 0 0 6 0 0 3 0 0 0 | 0 0 3 6 0 0 0 6 3 0 0 0 0 | 0 3 2 0 0 3 6 1 0 0 0 | 1 0 3 2 0 o.o3o.o3o.o3o.o&#x | 1 0 1 | * * 30 * * | 0 0 0 2 2 1 0 0 0 | 0 0 0 0 1 4 1 2 2 0 0 0 0 | 0 0 0 2 2 1 4 1 0 0 0 | 0 1 2 2 0 .oo3.oo3.oo3.oo&#x | 0 1 1 | * * * 10 * ♦ 0 0 0 0 0 3 6 0 0 | 0 0 0 0 0 0 0 3 6 6 3 0 0 | 0 0 0 0 0 1 6 3 2 3 0 | 0 0 2 3 1 ... ... ..x ... | 0 0 2 | * * * * 30 | 0 0 0 0 1 0 1 2 1 | 0 0 0 0 0 2 1 0 1 2 1 1 2 | 0 0 0 1 2 0 2 1 1 2 1 | 0 1 1 2 1 -------------------+---------+----------------+----------------------------+------------------------------------+--------------------------+---------- o..3x.. ... ... | 3 0 0 | 3 0 0 0 0 | 10 * * * * * * * * | 2 0 1 0 1 0 0 0 0 0 0 0 0 | 1 2 0 2 0 1 0 0 0 0 0 | 1 1 2 0 0 ... x..3o.. ... | 3 0 0 | 3 0 0 0 0 | * 20 * * * * * * * | 1 1 0 1 0 1 0 0 0 0 0 0 0 | 1 1 1 1 1 0 1 0 0 0 0 | 1 1 1 1 0 ... xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 | * * 30 * * * * * * | 0 0 1 2 0 0 0 1 0 0 0 0 0 | 0 2 1 0 0 1 2 0 0 0 0 | 1 0 2 1 0 ... x.o ... ...&#x | 2 0 1 | 1 0 2 0 0 | * * * 30 * * * * * | 0 0 0 0 1 2 0 1 0 0 0 0 0 | 0 0 0 2 1 1 2 0 0 0 0 | 0 1 2 1 0 ... ... o.x ...&#x | 1 0 2 | 0 0 2 0 1 | * * * * 30 * * * * | 0 0 0 0 0 2 1 0 1 0 0 0 0 | 0 0 0 1 2 0 2 1 0 0 0 | 0 1 1 2 0 ooo3ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 1 0 | * * * * * 30 * * * | 0 0 0 0 0 0 0 2 2 0 0 0 0 | 0 0 0 0 0 1 4 1 0 0 0 | 0 0 2 2 0 ... ... .ox ...&#x | 0 1 2 | 0 0 0 2 1 | * * * * * * 30 * * | 0 0 0 0 0 0 0 0 1 2 1 0 0 | 0 0 0 0 0 0 2 1 1 2 0 | 0 0 1 2 1 ... ..o3..x ... | 0 0 3 | 0 0 0 0 3 | * * * * * * * 20 * | 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 1 0 1 0 1 1 1 | 0 1 1 1 1 ... ... ..x3..o | 0 0 3 | 0 0 0 0 3 | * * * * * * * * 10 | 0 0 0 0 0 0 1 0 0 0 1 0 2 | 0 0 0 0 2 0 0 1 0 2 1 | 0 1 0 2 1 -------------------+---------+----------------+----------------------------+------------------------------------+--------------------------+---------- o..3x..3o.. ... ♦ 6 0 0 | 12 0 0 0 0 | 4 4 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0 ... x..3o..3o.. ♦ 4 0 0 | 6 0 0 0 0 | 0 4 0 0 0 0 0 0 0 | * 5 * * * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 | 1 1 0 1 0 oo.3xo. ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 | 1 0 3 0 0 0 0 0 0 | * * 10 * * * * * * * * * * | 0 2 0 0 0 1 0 0 0 0 0 | 1 0 2 0 0 ... xo.3oo. ...&#x ♦ 3 1 0 | 3 3 0 0 0 | 0 1 3 0 0 0 0 0 0 | * * * 20 * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 | 1 0 1 1 0 o.o3x.o ... ...&#x ♦ 3 0 1 | 3 0 3 0 0 | 1 0 0 3 0 0 0 0 0 | * * * * 10 * * * * * * * * | 0 0 0 2 0 1 0 0 0 0 0 | 0 1 2 0 0 ... x.o3o.x ...&#x ♦ 3 0 3 | 3 0 6 0 3 | 0 1 0 3 3 0 0 1 0 | * * * * * 20 * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 | 0 1 1 1 0 ... ... o.x3o.o&#x ♦ 1 0 3 | 0 0 3 0 3 | 0 0 0 0 3 0 0 0 1 | * * * * * * 10 * * * * * * | 0 0 0 0 2 0 0 1 0 0 0 | 0 1 0 2 0 ... xoo ... ...&#x ♦ 2 1 1 | 1 2 2 1 0 | 0 0 1 1 0 2 0 0 0 | * * * * * * * 30 * * * * * | 0 0 0 0 0 1 2 0 0 0 0 | 0 0 2 1 0 ... ... oox ...&#x ♦ 1 1 2 | 0 1 2 2 1 | 0 0 0 0 1 2 1 0 0 | * * * * * * * * 30 * * * * | 0 0 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0 ... .oo3.ox ...&#x ♦ 0 1 3 | 0 0 0 3 3 | 0 0 0 0 0 0 3 1 0 | * * * * * * * * * 20 * * * | 0 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1 ... ... .ox3.oo&#x ♦ 0 1 3 | 0 0 0 3 3 | 0 0 0 0 0 0 3 0 1 | * * * * * * * * * * 10 * * | 0 0 0 0 0 0 0 1 0 2 0 | 0 0 0 2 1 ..o3..o3..x ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * 5 * | 0 0 0 1 0 0 0 0 1 0 1 | 0 1 1 0 1 ... ..o3..x3..o ♦ 0 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 5 | 0 0 0 0 1 0 0 0 0 1 1 | 0 1 0 1 1 -------------------+---------+----------------+----------------------------+------------------------------------+--------------------------+---------- o..3x..3o..3o.. ♦ 10 0 0 | 30 0 0 0 0 | 10 20 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 1 0 0 0 oo.3xo.3oo. ...&#x ♦ 6 1 0 | 12 6 0 0 0 | 4 4 12 0 0 0 0 0 0 | 1 0 4 4 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * | 1 0 1 0 0 ... xo.3oo.3oo.&#x ♦ 4 1 0 | 6 4 0 0 0 | 0 4 6 0 0 0 0 0 0 | 0 1 0 4 0 0 0 0 0 0 0 0 0 | * * 5 * * * * * * * * | 1 0 0 1 0 o.o3x.o3o.x ...&#x ♦ 6 0 4 | 12 0 12 0 6 | 4 4 0 12 6 0 0 4 0 | 1 0 0 0 4 4 0 0 0 0 0 1 0 | * * * 5 * * * * * * * | 0 1 1 0 0 ... x.o3o.x3o.o&#x ♦ 4 0 6 | 6 0 12 0 12 | 0 4 0 6 12 0 0 4 4 | 0 1 0 0 0 4 4 0 0 0 0 0 1 | * * * * 5 * * * * * * | 0 1 0 1 0 ooo3xoo ... ...&#x ♦ 3 1 1 | 3 3 3 1 0 | 1 0 3 3 0 3 0 0 0 | 0 0 1 0 1 0 0 3 0 0 0 0 0 | * * * * * 10 * * * * * | 0 0 2 0 0 ... xoo3oox ...&#x ♦ 3 1 3 | 3 3 6 3 3 | 0 1 3 3 3 6 3 1 0 | 0 0 0 1 0 1 0 3 3 1 0 0 0 | * * * * * * 20 * * * * | 0 0 1 1 0 ... ... oox3ooo&#x ♦ 1 1 3 | 0 1 3 3 3 | 0 0 0 0 3 3 3 0 1 | 0 0 0 0 0 0 1 0 3 0 1 0 0 | * * * * * * * 10 * * * | 0 0 0 2 0 .oo3.oo3.ox ...&#x ♦ 0 1 4 | 0 0 0 4 6 | 0 0 0 0 0 0 6 4 0 | 0 0 0 0 0 0 0 0 0 4 0 1 0 | * * * * * * * * 5 * * | 0 0 1 0 1 ... .oo3.ox3.oo&#x ♦ 0 1 6 | 0 0 0 6 12 | 0 0 0 0 0 0 12 4 4 | 0 0 0 0 0 0 0 0 0 4 4 0 1 | * * * * * * * * * 5 * | 0 0 0 1 1 ..o3..o3..x3..o ♦ 0 0 10 | 0 0 0 0 30 | 0 0 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * 1 | 0 1 0 0 1 -------------------+---------+----------------+----------------------------+------------------------------------+--------------------------+---------- oo.3xo.3oo.3oo.&#x ♦ 10 1 0 | 30 10 0 0 0 | 10 20 30 0 0 0 0 0 0 | 5 5 10 20 0 0 0 0 0 0 0 0 0 | 1 5 5 0 0 0 0 0 0 0 0 | 1 * * * * o.o3x.o3o.x3o.o&#x ♦ 10 0 10 | 30 0 30 0 30 | 10 20 0 30 30 0 0 20 10 | 5 5 0 0 10 20 10 0 0 0 0 5 5 | 1 0 0 5 5 0 0 0 0 0 1 | * 1 * * * ooo3xoo3oox ...&#x ♦ 6 1 4 | 12 6 12 4 6 | 4 4 12 12 6 12 6 4 0 | 1 0 4 4 4 4 0 12 6 4 0 1 0 | 0 1 0 1 0 4 4 0 1 0 0 | * * 5 * * ... xoo3oox3ooo&#x ♦ 4 1 6 | 6 4 12 6 12 | 0 4 6 6 12 12 12 4 4 | 0 1 0 4 0 4 4 6 12 4 4 0 1 | 0 0 1 0 1 0 4 4 0 1 0 | * * * 5 * .oo3.oo3.ox3.oo&#x ♦ 0 1 10 | 0 0 0 10 30 | 0 0 0 0 0 0 30 20 10 | 0 0 0 0 0 0 0 0 0 20 10 5 5 | 0 0 0 0 0 0 0 0 5 5 1 | * * * * 1
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