Acronym | geepy |
Name |
hexacontitetrapeton pyramid, vertex-first rotunda of gee |
Circumradius | 1/sqrt(2) = 0.707107 |
Lace city in approx. ASCII-art |
o where: o = o3o3o3o4o (point) o t o t = x3o3o3o4o (tac) |
o o = o3o3o3o3o (point) h = x3o3o3o3o (hix) h H H = o3o3o3o3x (dual hix) | |
Coordinates |
|
Dihedral angles | |
Face vector | 13, 72, 220, 400, 432, 256, 64 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox3oo3oo3oo3oo4oo&#x → height = 1/sqrt(2) = 0.707107
(pt || gee)
o.3o.3o.3o.3o.4o. | 1 * ♦ 12 0 | 60 0 | 160 0 | 240 0 | 192 0 | 64 0
.o3.o3.o3.o3.o4.o | * 12 ♦ 1 10 | 10 40 | 40 80 | 80 80 | 80 32 | 32 1
---------------------+------+-------+--------+---------+---------+--------+-----
oo3oo3oo3oo3oo4oo&#x | 1 1 | 12 * ♦ 10 0 | 40 0 | 80 0 | 80 0 | 32 0
.x .. .. .. .. .. | 0 2 | * 60 ♦ 1 8 | 8 24 | 24 32 | 32 16 | 16 1
---------------------+------+-------+--------+---------+---------+--------+-----
ox .. .. .. .. ..&#x | 1 2 | 2 1 | 60 * ♦ 8 0 | 24 0 | 32 0 | 16 0
.x3.o .. .. .. .. | 0 3 | 0 3 | * 160 ♦ 1 6 | 6 12 | 12 8 | 8 1
---------------------+------+-------+--------+---------+---------+--------+-----
ox3oo .. .. .. ..&#x ♦ 1 3 | 3 3 | 3 1 | 160 * ♦ 6 0 | 12 0 | 8 0
.x3.o3.o .. .. .. ♦ 0 4 | 0 6 | 0 4 | * 240 ♦ 1 4 | 4 4 | 4 1
---------------------+------+-------+--------+---------+---------+--------+-----
ox3oo3oo .. .. ..&#x ♦ 1 4 | 4 6 | 6 4 | 4 1 | 240 * | 4 0 | 4 0
.x3.o3.o3.o .. .. ♦ 0 5 | 0 10 | 0 10 | 0 5 | * 192 | 1 2 | 2 1
---------------------+------+-------+--------+---------+---------+--------+-----
ox3oo3oo3oo .. ..&#x ♦ 1 5 | 5 10 | 10 10 | 10 5 | 5 1 | 192 * | 2 0
.x3.o3.o3.o3.o .. ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 | * 64 | 1 1
---------------------+------+-------+--------+---------+---------+--------+-----
ox3oo3oo3oo3oo ..&#x ♦ 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 1 | 64 *
.x3.o3.o3.o3.o4.o ♦ 0 12 | 0 60 | 0 160 | 0 240 | 0 192 | 0 64 | * 1
oo3oo3oo *b3oo3oo3ox&#x → height = 1/sqrt(2) = 0.707107
(pt || gee)
o.3o.3o. *b3o.3o.3o. | 1 * ♦ 12 0 | 60 0 | 160 0 | 240 0 | 192 0 0 | 32 32 0
.o3.o3.o *b3.o3.o3.o | * 12 ♦ 1 10 | 10 40 | 40 80 | 80 80 | 80 16 16 | 16 16 1
------------------------+------+-------+--------+---------+---------+-----------+--------
oo3oo3oo *b3oo3oo3oo&#x | 1 1 | 12 * ♦ 10 0 | 40 0 | 80 0 | 80 0 0 | 16 16 0
.. .. .. .. .. .x | 0 2 | * 60 ♦ 1 8 | 8 24 | 24 32 | 32 8 8 | 8 8 1
------------------------+------+-------+--------+---------+---------+-----------+--------
.. .. .. .. .. ox&#x | 1 2 | 2 1 | 60 * ♦ 8 0 | 24 0 | 32 0 0 | 8 8 0
.. .. .. .. .o3.x | 0 3 | 0 3 | * 160 ♦ 1 6 | 6 12 | 12 4 4 | 4 4 1
------------------------+------+-------+--------+---------+---------+-----------+--------
.. .. .. .. oo3ox&#x ♦ 1 3 | 3 3 | 3 1 | 160 * ♦ 6 0 | 12 0 0 | 4 4 0
.. .. .. .o3.o3.x ♦ 0 4 | 0 6 | 0 4 | * 240 ♦ 1 4 | 4 2 2 | 2 2 1
------------------------+------+-------+--------+---------+---------+-----------+--------
.. .. .. oo3oo3ox&#x ♦ 1 4 | 4 6 | 6 4 | 4 1 | 240 * | 4 0 0 | 2 2 0
.. .o .. *b3.o3.o3.x ♦ 0 5 | 0 10 | 0 10 | 0 5 | * 192 | 1 1 1 | 1 1 1
------------------------+------+-------+--------+---------+---------+-----------+--------
.. oo .. *b3oo3oo3ox&#x ♦ 1 5 | 5 10 | 10 10 | 10 5 | 5 1 | 192 * * | 1 1 0
.o3.o .. *b3.o3.o3.x ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 | * 32 * | 1 0 1
.. .o3.o *b3.o3.o3.x ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 | * * 32 | 0 1 1
------------------------+------+-------+--------+---------+---------+-----------+--------
oo3oo .. *b3oo3oo3ox&#x ♦ 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 1 0 | 32 * *
.. oo3oo *b3oo3oo3ox&#x ♦ 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 0 1 | * 32 *
.o3.o3.o *b3.o3.o3.x ♦ 0 12 | 0 60 | 0 160 | 0 240 | 0 192 | 0 32 32 | * * 1
xoo3ooo3ooo3ooo3oxo&#x → height(1,2) = 1/sqrt(3) = 0.577350 height(1,3) = height(2,3) = sqrt(7/12) = 0.763763 o..3o..3o..3o..3o.. & | 12 * ♦ 5 5 1 | 10 30 5 5 | 10 40 30 10 30 | 5 25 50 10 40 30 | 1 6 15 10 5 25 50 | 1 1 6 15 10 ..o3..o3..o3..o3..o | * 1 ♦ 0 0 12 | 0 0 30 30 | 0 0 0 40 120 | 0 0 0 30 120 90 | 0 0 0 0 12 60 120 | 0 2 12 30 20 -------------------------+------+----------+--------------+------------------+---------------------+----------------------+------------- x.. ... ... ... ... & | 2 0 | 30 * * ♦ 4 4 1 0 | 6 12 6 4 4 | 4 12 16 6 12 6 | 1 4 7 4 4 12 16 | 1 1 4 7 4 oo.3oo.3oo.3oo.3oo.&#x | 2 0 | * 30 * ♦ 0 8 0 1 | 0 12 12 0 8 | 0 8 24 0 12 12 | 0 2 8 6 0 8 24 | 1 0 2 8 6 o.o3o.o3o.o3o.o3o.o&#x & | 1 1 | * * 12 ♦ 0 0 5 5 | 0 0 0 10 30 | 0 0 0 10 40 30 | 0 0 0 0 5 25 50 | 0 1 6 15 10 -------------------------+------+----------+--------------+------------------+---------------------+----------------------+------------- x..3o.. ... ... ... & | 3 0 | 3 0 0 | 40 * * * ♦ 3 3 0 1 0 | 3 6 3 3 3 0 | 1 3 3 1 3 6 3 | 1 1 3 3 1 xo. ... ... ... ...&#x & | 3 0 | 1 2 0 | * 120 * * ♦ 0 3 3 0 1 | 0 3 9 0 3 3 | 0 1 4 3 0 3 9 | 1 0 1 4 3 x.o ... ... ... ...&#x & | 2 1 | 1 0 2 | * * 30 * ♦ 0 0 0 4 4 | 0 0 0 6 12 6 | 0 0 0 0 4 12 16 | 0 1 4 7 4 ooo3ooo3ooo3ooo3ooo&#x | 2 1 | 0 1 2 | * * * 30 ♦ 0 0 0 0 8 | 0 0 0 0 12 12 | 0 0 0 0 0 8 24 | 0 0 2 8 6 -------------------------+------+----------+--------------+------------------+---------------------+----------------------+------------- x..3o..3o.. ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 | 30 * * * * ♦ 2 2 0 1 0 0 | 1 2 1 0 2 2 0 | 1 1 2 1 0 xo.3oo. ... ... ...&#x & ♦ 4 0 | 3 3 0 | 1 3 0 0 | * 120 * * * ♦ 0 2 2 0 1 0 | 0 1 2 1 0 2 2 | 1 0 1 2 1 xo. ... ... ... ox.&#x ♦ 4 0 | 2 4 0 | 0 4 0 0 | * * 90 * * ♦ 0 0 4 0 0 1 | 0 0 2 2 0 0 4 | 1 0 0 2 2 x.o3o.o ... ... ...&#x & ♦ 3 1 | 3 0 3 | 1 0 3 0 | * * * 40 * ♦ 0 0 0 3 3 0 | 0 0 0 0 3 6 3 | 0 1 3 3 1 xoo ... ... ... ...&#x & ♦ 3 1 | 1 2 3 | 0 1 1 2 | * * * * 120 ♦ 0 0 0 0 3 3 | 0 0 0 0 0 3 9 | 0 0 1 4 3 -------------------------+------+----------+--------------+------------------+---------------------+----------------------+------------- x..3o..3o..3o.. ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | 12 * * * * * | 1 1 0 0 1 0 0 | 1 1 1 0 0 xo.3oo.3oo. ... ...&#x & ♦ 5 0 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 | * 60 * * * * | 0 1 1 0 0 1 0 | 1 0 1 1 0 xo.3oo. ... ... ox.&#x & ♦ 5 0 | 4 6 0 | 1 9 0 0 | 0 2 3 0 0 | * * 120 * * * | 0 0 1 1 0 0 1 | 1 0 0 1 1 x.o3o.o3o.o ... ...&#x & ♦ 4 1 | 6 0 4 | 4 0 6 0 | 1 0 0 4 0 | * * * 30 * * | 0 0 0 0 2 2 0 | 0 1 2 1 0 xoo3ooo ... ... ...&#x & ♦ 4 1 | 3 3 4 | 1 3 3 3 | 0 1 0 1 3 | * * * * 120 * | 0 0 0 0 0 2 2 | 0 0 1 2 1 xoo ... ... ... oxo&#x ♦ 4 1 | 2 4 4 | 0 4 2 4 | 0 0 1 0 4 | * * * * * 90 | 0 0 0 0 0 0 4 | 0 0 0 2 2 -------------------------+------+----------+--------------+------------------+---------------------+----------------------+------------- x..3o..3o..3o..3o.. & ♦ 6 0 | 15 0 0 | 20 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 0 | 2 * * * * * * | 1 1 0 0 0 xo.3oo.3oo.3oo. ...&#x & ♦ 6 0 | 10 5 0 | 10 10 0 0 | 5 10 0 0 0 | 1 5 0 0 0 0 | * 12 * * * * * | 1 0 1 0 0 xo.3oo.3oo. ... ox.&#x & ♦ 6 0 | 7 8 0 | 4 16 0 0 | 1 8 6 0 0 | 0 2 4 0 0 0 | * * 30 * * * * | 1 0 0 1 0 xo.3oo. ... oo.3ox.&#x ♦ 6 0 | 6 9 0 | 2 18 0 0 | 0 6 9 0 0 | 0 0 6 0 0 0 | * * * 20 * * * | 1 0 0 0 1 x.o3o.o3o.o3o.o ...&#x & ♦ 5 1 | 10 0 5 | 10 0 10 0 | 5 0 0 10 0 | 1 0 0 5 0 0 | * * * * 12 * * | 0 1 1 0 0 xoo3ooo3ooo ... ...&#x & ♦ 5 1 | 6 4 5 | 4 6 6 4 | 1 4 0 4 6 | 0 1 0 1 4 0 | * * * * * 60 * | 0 0 1 1 0 xoo3ooo ... ... oxo&#x & ♦ 5 1 | 4 6 5 | 1 9 4 6 | 0 2 3 1 9 | 0 0 1 0 2 3 | * * * * * * 120 | 0 0 0 1 1 -------------------------+------+----------+--------------+------------------+---------------------+----------------------+------------- xo.3oo.3oo.3oo.3ox.&#x ♦ 12 0 | 30 30 0 | 40 120 0 0 | 30 120 90 0 0 | 12 60 120 0 0 0 | 2 12 30 20 0 0 0 | 1 * * * * x.o3o.o3o.o3o.o3o.o&#x & ♦ 6 1 | 15 0 6 | 20 0 15 0 | 15 0 0 20 0 | 6 0 0 15 0 0 | 1 0 0 0 6 0 0 | * 2 * * * xoo3ooo3ooo3ooo ...&#x & ♦ 6 1 | 10 5 6 | 10 10 10 5 | 5 10 0 10 10 | 1 5 0 5 10 0 | 0 1 0 0 1 5 0 | * * 12 * * xoo3ooo3ooo ... oxo&#x & ♦ 6 1 | 7 8 6 | 4 16 7 8 | 1 8 6 4 16 | 0 2 4 1 8 6 | 0 0 1 0 0 2 4 | * * * 30 * xoo3ooo ... ooo3oxo&#x ♦ 6 1 | 6 9 6 | 2 18 6 9 | 0 6 9 2 18 | 0 0 6 0 6 9 | 0 0 0 1 0 0 6 | * * * * 20
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