| Acronym | gu |
| Name |
gee-based ursaexon, vertex figure of s3s4o3o3o3o3o4o |
| Circumradius | sqrt[3+sqrt(5)]/2 = 1.144123 |
|
Inradius wrt. tacpy | sqrt[1+sqrt(5)]/2 = 0.899454 |
|
Inradius wrt. gee | sqrt[1+sqrt(5)]/2 = 0.899454 |
|
Inradius wrt. rag | sqrt[sqrt(5)-1]/2 = 0.555893 |
|
Inradius wrt. hixu | sqrt[(7+sqrt(5))/44] = 0.458160 |
| Face vector | 84, 672, 1820, 2560, 1968, 716, 78 |
| Confer |
|
Incidence matrix according to Dynkin symbol
ofx3xoo3ooo3ooo3ooo4ooo&#xt → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
(rag || f-gee || gee)
o..3o..3o..3o..3o..4o.. | 60 * * | 16 2 0 0 | 8 48 1 16 0 | 24 64 8 48 0 | 32 32 24 64 0 | 16 2 32 32 0 | 1 16 2 0
.o.3.o.3.o.3.o.3.o.4.o. | * 12 * | 0 10 1 0 | 0 0 10 40 0 | 0 0 40 80 0 | 0 0 80 80 0 | 0 0 80 32 0 | 0 32 1 0
..o3..o3..o3..o3..o4..o | * * 12 | 0 0 1 10 | 0 0 10 0 40 | 0 0 40 0 80 | 0 0 80 0 80 | 0 0 80 0 32 | 0 32 0 1
----------------------------+----------+---------------+--------------------+---------------------+---------------------+------------------+----------
... x.. ... ... ... ... | 2 0 0 | 480 * * * | 1 6 0 1 0 | 6 12 1 6 0 | 12 8 6 12 0 | 8 1 12 8 0 | 1 8 1 0
oo.3oo.3oo.3oo.3oo.4oo.&#x | 1 1 0 | * 120 * * | 0 0 1 8 0 | 0 0 8 24 0 | 0 0 24 32 0 | 0 0 32 16 0 | 0 16 1 0
.oo3.oo3.oo3.oo3.oo4.oo&#x | 0 1 1 | * * 12 * ♦ 0 0 10 0 0 | 0 0 40 0 0 | 0 0 80 0 0 | 0 0 80 0 0 | 0 32 0 0
..x ... ... ... ... ... | 0 0 2 | * * * 60 | 0 0 1 0 8 | 0 0 8 0 24 | 0 0 24 0 32 | 0 0 32 0 16 | 0 16 0 1
----------------------------+----------+---------------+--------------------+---------------------+---------------------+------------------+----------
o..3x.. ... ... ... ... | 3 0 0 | 3 0 0 0 | 160 * * * * | 6 0 1 0 0 | 12 0 6 0 0 | 8 0 12 0 0 | 1 8 0 0
... x..3o.. ... ... ... | 3 0 0 | 3 0 0 0 | * 960 * * * | 1 4 0 1 0 | 4 4 1 4 0 | 4 1 4 4 0 | 1 4 1 0
ofx ... ... ... ... ...&#xt | 1 2 2 | 0 2 2 1 | * * 60 * * ♦ 0 0 8 0 0 | 0 0 24 0 0 | 0 0 32 0 0 | 0 16 0 0
... xo. ... ... ... ...&#x | 2 1 0 | 1 2 0 0 | * * * 480 * | 0 0 1 6 0 | 0 0 6 12 0 | 0 0 12 8 0 | 0 8 1 0
..x3..o ... ... ... ... | 0 0 3 | 0 0 0 3 | * * * * 160 | 0 0 1 0 6 | 0 0 6 0 12 | 0 0 12 0 8 | 0 8 0 1
----------------------------+----------+---------------+--------------------+---------------------+---------------------+------------------+----------
o..3x..3o.. ... ... ... ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 | 240 * * * * | 4 0 1 0 0 | 4 0 4 0 0 | 1 4 0 0
... x..3o..3o.. ... ... ♦ 4 0 0 | 6 0 0 0 | 0 4 0 0 0 | * 960 * * * | 1 2 0 1 0 | 2 1 1 2 0 | 1 2 1 0
ofx3xoo ... ... ... ...&#xt ♦ 3 3 3 | 3 6 3 3 | 1 0 3 3 1 | * * 160 * * ♦ 0 0 6 0 0 | 0 0 12 0 0 | 0 8 0 0
... xo.3oo. ... ... ...&#x ♦ 3 1 0 | 3 3 0 0 | 0 1 0 3 0 | * * * 960 * | 0 0 1 4 0 | 0 0 4 4 0 | 0 4 1 0
..x3..o3..o ... ... ... ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * 240 | 0 0 1 0 4 | 0 0 4 0 4 | 0 4 0 1
----------------------------+----------+---------------+--------------------+---------------------+---------------------+------------------+----------
o..3x..3o..3o.. ... ... ♦ 10 0 0 | 30 0 0 0 | 10 20 0 0 0 | 5 5 0 0 0 | 192 * * * * | 2 0 1 0 0 | 1 2 0 0
... x..3o..3o..3o.. ... ♦ 5 0 0 | 10 0 0 0 | 0 10 0 0 0 | 0 5 0 0 0 | * 384 * * * | 1 1 0 1 0 | 1 1 1 0
ofx3xoo3ooo ... ... ...&#xt ♦ 6 4 4 | 12 12 4 6 | 4 4 6 12 4 | 1 0 4 4 1 | * * 240 * * | 0 0 4 0 0 | 0 4 0 0
... xo.3oo.3oo. ... ...&#x ♦ 4 1 0 | 6 4 0 0 | 0 4 0 6 0 | 0 1 0 4 0 | * * * 960 * | 0 0 1 2 0 | 0 2 1 0
..x3..o3..o3..o ... ... ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 192 | 0 0 1 0 2 | 0 2 0 1
----------------------------+----------+---------------+--------------------+---------------------+---------------------+------------------+----------
o..3x..3o..3o..3o.. ... ♦ 15 0 0 | 60 0 0 0 | 20 60 0 0 0 | 15 30 0 0 0 | 6 6 0 0 0 | 64 * * * * | 1 1 0 0
... x..3o..3o..3o..4o.. ♦ 10 0 0 | 40 0 0 0 | 0 80 0 0 0 | 0 80 0 0 0 | 0 32 0 0 0 | * 12 * * * | 1 0 1 0
ofx3xoo3ooo3ooo ... ...&#xt ♦ 10 5 5 | 30 20 5 10 | 10 20 10 30 10 | 5 5 10 20 5 | 1 0 5 5 1 | * * 192 * * | 0 2 0 0
... xo.3oo.3oo.3oo. ...&#x ♦ 5 1 0 | 10 5 0 0 | 0 10 0 10 0 | 0 5 0 10 0 | 0 1 0 5 0 | * * * 384 * | 0 1 1 0
..x3..o3..o3..o3..o ... ♦ 0 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 6 | * * * * 64 | 0 1 0 1
----------------------------+----------+---------------+--------------------+---------------------+---------------------+------------------+----------
o..3x..3o..3o..3o..4o.. ♦ 60 0 0 | 480 0 0 0 | 160 960 0 0 0 | 240 960 0 0 0 | 192 384 0 0 0 | 64 12 0 0 0 | 1 * * *
ofx3xoo3ooo3ooo3ooo ...&#xt ♦ 15 6 6 | 60 30 6 15 | 20 60 15 60 20 | 15 30 20 60 15 | 6 6 15 30 6 | 1 0 6 6 1 | * 64 * *
... xo.3oo.3oo.3oo.4oo.&#x ♦ 10 1 0 | 40 10 0 0 | 0 80 0 40 0 | 0 80 0 80 0 | 0 32 0 80 0 | 0 1 0 32 0 | * * 12 *
..x3..o3..o3..o3..o4..o ♦ 0 0 12 | 0 0 0 60 | 0 0 0 0 160 | 0 0 0 0 240 | 0 0 0 0 192 | 0 0 0 0 64 | * * * 1
ooo3ooo3ooo *b3ooo3xoo3ofx&#xt → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
(rag || f-gee || gee)
o..3o..3o.. *b3o..3o..3o.. | 60 * * | 16 2 0 0 | 48 8 16 1 0 | 64 24 48 8 0 | 16 16 32 64 24 0 | 2 8 8 16 16 32 0 0 | 1 2 8 8 0
.o.3.o.3.o. *b3.o.3.o.3.o. | * 12 * | 0 10 1 0 | 0 0 40 10 0 | 0 0 80 40 0 | 0 0 0 80 80 0 | 0 0 0 16 16 80 0 0 | 0 1 16 16 0
..o3..o3..o *b3..o3..o3..o | * * 12 | 0 0 1 10 | 0 0 0 10 40 | 0 0 0 40 80 | 0 0 0 0 80 80 | 0 0 0 0 0 80 16 16 | 0 0 16 16 1
-------------------------------+----------+---------------+--------------------+---------------------+-------------------------+----------------------------+-------------
... ... ... ... x.. ... | 2 0 0 | 480 * * * | 6 1 1 0 0 | 12 6 6 1 0 | 4 4 12 12 6 0 | 1 4 4 4 4 12 0 0 | 1 1 4 4 0
oo.3oo.3oo. *b3oo.3oo.3oo.&#x | 1 1 0 | * 120 * * | 0 0 8 1 0 | 0 0 24 8 0 | 0 0 0 32 24 0 | 0 0 0 8 8 32 0 0 | 0 1 8 8 0
.oo3.oo3.oo *b3.oo3.oo3.oo&#x | 0 1 1 | * * 12 * ♦ 0 0 0 10 0 | 0 0 0 40 0 | 0 0 0 0 80 0 | 0 0 0 0 0 80 0 0 | 0 0 16 16 0
... ... ... ... ... ..x | 0 0 2 | * * * 60 | 0 0 0 1 8 | 0 0 0 8 24 | 0 0 0 0 24 32 | 0 0 0 0 0 32 8 8 | 0 0 8 8 1
-------------------------------+----------+---------------+--------------------+---------------------+-------------------------+----------------------------+-------------
... ... ... o..3x.. ... | 3 0 0 | 3 0 0 0 | 960 * * * * | 4 1 1 0 0 | 2 2 4 4 1 0 | 1 2 2 2 2 4 0 0 | 1 1 2 2 0
... ... ... ... x..3o.. | 3 0 0 | 3 0 0 0 | * 160 * * * | 0 6 0 1 0 | 0 0 12 0 6 0 | 0 4 4 0 0 12 0 0 | 1 0 4 4 0
... ... ... ... xo. ...&#x | 2 1 0 | 1 2 0 0 | * * 480 * * | 0 0 6 1 0 | 0 0 0 12 6 0 | 0 0 0 4 4 12 0 0 | 0 1 4 4 0
... ... ... ... ... ofx&#xt | 1 2 2 | 0 2 2 1 | * * * 60 * ♦ 0 0 0 8 0 | 0 0 0 0 24 0 | 0 0 0 0 0 32 0 0 | 0 0 8 8 0
... ... ... ... ..o3..x | 0 0 3 | 0 0 0 3 | * * * * 160 | 0 0 0 1 6 | 0 0 0 0 6 12 | 0 0 0 0 0 12 4 4 | 0 0 4 4 1
-------------------------------+----------+---------------+--------------------+---------------------+-------------------------+----------------------------+-------------
... o.. ... *b3o..3x.. ... ♦ 4 0 0 | 6 0 0 0 | 4 0 0 0 0 | 960 * * * * | 1 1 1 1 0 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1 0
... ... ... o..3x..3o.. ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 | * 240 * * * | 0 0 4 0 1 0 | 0 2 2 0 0 4 0 0 | 1 0 2 2 0
... ... ... oo.3xo. ...&#x ♦ 3 1 0 | 3 3 0 0 | 1 0 3 0 0 | * * 960 * * | 0 0 0 4 1 0 | 0 0 0 2 2 4 0 0 | 0 1 2 2 0
... ... ... ... xoo3ofx&#xt ♦ 3 3 3 | 3 6 3 3 | 0 1 3 3 1 | * * * 160 * ♦ 0 0 0 0 6 0 | 0 0 0 0 0 12 0 0 | 0 0 4 4 0
... ... ... ..o3..o3..x ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * 240 | 0 0 0 0 1 4 | 0 0 0 0 0 4 2 2 | 0 0 2 2 1
-------------------------------+----------+---------------+--------------------+---------------------+-------------------------+----------------------------+-------------
o..3o.. ... *b3o..3x.. ... ♦ 5 0 0 | 10 0 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 192 * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 0
... o..3o.. *b3o..3x.. ... ♦ 5 0 0 | 10 0 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | * 192 * * * * | 1 0 1 0 1 0 0 0 | 1 1 0 1 0
... o.. ... *b3o..3x..3o.. ♦ 10 0 0 | 30 0 0 0 | 20 10 0 0 0 | 5 5 0 0 0 | * * 192 * * * | 0 1 1 0 0 1 0 0 | 1 0 1 1 0
... oo. ... *b3oo.3xo. ...&#x ♦ 4 1 0 | 6 4 0 0 | 4 0 6 0 0 | 1 0 4 0 0 | * * * 960 * * | 0 0 0 1 1 1 0 0 | 0 1 1 1 0
... ... ... ooo3xoo3ofx&#xt ♦ 6 4 4 | 12 12 4 6 | 4 4 12 6 4 | 0 1 4 4 1 | * * * * 240 * | 0 0 0 0 0 4 0 0 | 0 0 2 2 0
... ..o ... *b3..o3..o3..x ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * * 192 | 0 0 0 0 0 1 1 1 | 0 0 1 1 1
-------------------------------+----------+---------------+--------------------+---------------------+-------------------------+----------------------------+-------------
o..3o..3o.. *b3o..3x.. ... ♦ 10 0 0 | 40 0 0 0 | 80 0 0 0 0 | 80 0 0 0 0 | 16 16 0 0 0 0 | 12 * * * * * * * | 1 1 0 0 0
o..3o.. ... *b3o..3x..3o.. ♦ 15 0 0 | 60 0 0 0 | 60 20 0 0 0 | 30 15 0 0 0 | 6 0 6 0 0 0 | * 32 * * * * * * | 1 0 1 0 0
... o..3o.. *b3o..3x..3o.. ♦ 15 0 0 | 60 0 0 0 | 60 20 0 0 0 | 30 15 0 0 0 | 0 6 6 0 0 0 | * * 32 * * * * * | 1 0 0 1 0
oo.3oo. ... *b3oo.3xo. ...&#x ♦ 5 1 0 | 10 5 0 0 | 10 0 10 0 0 | 5 0 10 0 0 | 1 0 0 5 0 0 | * * * 192 * * * * | 0 1 1 0 0
... oo.3oo. *b3oo.3xo. ...&#x ♦ 5 1 0 | 10 5 0 0 | 10 0 10 0 0 | 5 0 10 0 0 | 0 1 0 5 0 0 | * * * * 192 * * * | 0 1 0 1 0
... ooo ... *b3ooo3xoo3ofx&#xt ♦ 10 5 5 | 30 20 5 10 | 20 10 30 10 10 | 5 5 20 10 5 | 0 0 1 5 5 1 | * * * * * 192 * * | 0 0 1 1 0
..o3..o ... *b3..o3..o3..x ♦ 0 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 0 6 | * * * * * * 32 * | 0 0 1 0 1
... ..o3..o *b3..o3..o3..x ♦ 0 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 0 6 | * * * * * * * 32 | 0 0 0 1 1
-------------------------------+----------+---------------+--------------------+---------------------+-------------------------+----------------------------+-------------
o..3o..3o.. *b3o..3x..3o.. ♦ 60 0 0 | 480 0 0 0 | 960 160 0 0 0 | 960 240 0 0 0 | 192 192 192 0 0 0 | 12 32 32 0 0 0 0 0 | 1 * * * *
oo.3oo.3oo. *b3oo.3xo. ...&#x ♦ 10 1 0 | 40 10 0 0 | 80 0 40 0 0 | 80 0 80 0 0 | 16 16 0 80 0 0 | 1 0 0 16 16 0 0 0 | * 12 * * *
ooo3ooo ... *b3ooo3xoo3ofx&#xt ♦ 15 6 6 | 60 30 6 15 | 60 20 60 15 20 | 30 15 60 20 15 | 6 0 6 30 15 6 | 0 1 0 6 0 6 1 0 | * * 32 * *
... ooo3ooo *b3ooo3xoo3ofx&#xt ♦ 15 6 6 | 60 30 6 15 | 60 20 60 15 20 | 30 15 60 20 15 | 0 6 6 30 15 6 | 0 0 1 0 6 6 0 1 | * * * 32 *
..o3..o3..o *b3..o3..o3..x ♦ 0 0 12 | 0 0 0 60 | 0 0 0 0 160 | 0 0 0 0 240 | 0 0 0 0 0 192 | 0 0 0 0 0 0 32 32 | * * * * 1
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