| Acronym | garag |
| Name |
gee atop rag, gee-first rotunda of rez |
| Circumradius | 1 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0) & all permutations, all changes of sign – but last coord. non-negative |
| Face vector | 72, 660, 1820, 2560, 1968, 716, 78 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xo3ox3oo3oo3oo4oo&#xt → height = 1/sqrt(2) = 0.707107
(gee || rag)
o.3o.3o.3o.3o.4o. | 12 * ♦ 10 10 0 | 40 10 40 0 0 | 80 40 80 0 0 | 80 80 80 0 0 | 32 80 32 0 0 | 1 32 1 0
.o3.o3.o3.o3.o4.o | * 60 | 0 2 16 | 0 1 16 8 48 | 0 8 48 24 64 | 0 24 64 32 32 | 0 32 32 16 2 | 0 16 2 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x. .. .. .. .. .. | 2 0 | 60 * * | 8 1 0 0 0 | 24 8 0 0 0 | 32 24 0 0 0 | 16 32 0 0 0 | 1 16 0 0
oo3oo3oo3oo3oo4oo&#x | 1 1 | * 120 * | 0 1 8 0 0 | 0 8 24 0 0 | 0 24 32 0 0 | 0 32 16 0 0 | 0 16 1 0
.. .x .. .. .. .. | 0 2 | * * 480 | 0 0 1 1 6 | 0 1 6 6 12 | 0 6 12 12 8 | 0 12 8 8 1 | 0 8 1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o. .. .. .. .. | 3 0 | 3 0 0 | 160 * * * * | 6 1 0 0 0 | 12 6 0 0 0 | 8 12 0 0 0 | 1 8 0 0
xo .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 60 * * * ♦ 0 8 0 0 0 | 0 24 0 0 0 | 0 32 0 0 0 | 0 16 0 0
.. ox .. .. .. ..&#x | 1 2 | 0 2 1 | * * 480 * * | 0 1 6 0 0 | 0 6 12 0 0 | 0 12 8 0 0 | 0 8 1 0
.o3.x .. .. .. .. | 0 3 | 0 0 3 | * * * 160 * ♦ 0 1 0 6 0 | 0 6 0 12 0 | 0 12 0 8 0 | 0 8 0 1
.. .x3.o .. .. .. | 0 3 | 0 0 3 | * * * * 960 | 0 0 1 1 4 | 0 1 4 4 4 | 0 4 4 4 1 | 0 4 1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 240 * * * * | 4 1 0 0 0 | 4 4 0 0 0 | 1 4 0 0
xo3ox .. .. .. ..&#x ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 160 * * * ♦ 0 6 0 0 0 | 0 12 0 0 0 | 0 8 0 0
.. ox3oo .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 960 * * | 0 1 4 0 0 | 0 4 4 0 0 | 0 4 1 0
.o3.x3.o .. .. .. ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 240 * ♦ 0 1 0 4 0 | 0 4 0 4 0 | 0 4 0 1
.. .x3.o3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 960 | 0 0 1 1 2 | 0 1 2 2 1 | 0 2 1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o.3o. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 192 * * * * | 2 1 0 0 0 | 1 2 0 0
xo3ox3oo .. .. ..&#x ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 0 | * 240 * * * | 0 4 0 0 0 | 0 4 0 0
.. ox3oo3oo .. ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 0 4 | 0 0 4 0 1 | * * 960 * * | 0 1 2 0 0 | 0 2 1 0
.o3.x3.o3.o .. .. ♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 5 5 | * * * 192 * | 0 1 0 2 0 | 0 2 0 1
.. .x3.o3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 384 | 0 0 1 1 1 | 0 1 1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o.3o.3o. .. ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 | 64 * * * * | 1 1 0 0
xo3ox3oo3oo .. ..&#x ♦ 5 10 | 10 20 30 | 10 10 30 10 20 | 5 10 20 5 5 | 1 5 5 1 0 | * 192 * * * | 0 2 0 0
.. ox3oo3oo3oo ..&#x ♦ 1 5 | 0 5 10 | 0 0 10 0 10 | 0 0 10 0 5 | 0 0 5 0 1 | * * 384 * * | 0 1 1 0
.o3.x3.o3.o3.o .. ♦ 0 15 | 0 0 60 | 0 0 0 20 60 | 0 0 0 15 30 | 0 0 0 6 6 | * * * 64 * | 0 1 0 1
.. .x3.o3.o3.o4.o ♦ 0 10 | 0 0 40 | 0 0 0 0 80 | 0 0 0 0 80 | 0 0 0 0 32 | * * * * 12 | 0 0 1 1
---------------------+-------+------------+--------------------+---------------------+---------------------+------------------+----------
x.3o.3o.3o.3o.4o. ♦ 12 0 | 60 0 0 | 160 0 0 0 0 | 240 0 0 0 0 | 192 0 0 0 0 | 64 0 0 0 0 | 1 * * *
xo3ox3oo3oo3oo ..&#x ♦ 6 15 | 15 30 60 | 20 15 60 20 60 | 15 20 60 15 30 | 6 15 30 6 6 | 1 6 6 1 0 | * 64 * *
.. ox3oo3oo3oo4oo&#x ♦ 1 10 | 0 10 40 | 0 0 40 0 80 | 0 0 80 0 80 | 0 0 80 0 32 | 0 0 32 0 1 | * * 12
.o3.x3.o3.o3.o4.o ♦ 0 60 | 0 0 480 | 0 0 0 160 960 | 0 0 0 240 960 | 0 0 0 192 384 | 0 0 0 64 12 | * * * 1
oo3oo3oo *b3oo3ox3xo&#x → height = 1/sqrt(2) = 0.707107
(gee || rag)
o.3o.3o. *b3o.3o.3o. | 12 * ♦ 10 10 0 | 40 40 10 0 0 | 80 80 40 0 0 | 80 80 80 0 0 0 | 16 16 16 16 80 0 0 0 | 1 1 16 16 0
.o3.o3.o *b3.o3.o3.o | * 60 | 0 2 16 | 0 16 1 48 8 | 0 48 8 64 24 | 0 64 24 16 16 32 | 0 0 16 16 32 2 8 8 | 0 2 8 8 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. .. .. .. .. x. | 2 0 | 60 * * | 8 0 1 0 0 | 24 0 8 0 0 | 32 0 24 0 0 0 | 8 8 0 0 32 0 0 0 | 1 0 8 8 0
oo3oo3oo *b3oo3oo3oo&#x | 1 1 | * 120 * | 0 8 1 0 0 | 0 24 8 0 0 | 0 32 24 0 0 0 | 0 0 8 8 32 0 0 0 | 0 1 8 8 0
.. .. .. .. .x .. | 0 2 | * * 480 | 0 1 0 6 1 | 0 6 1 12 6 | 0 12 6 4 4 12 | 0 0 4 4 12 1 4 4 | 0 1 4 4 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. .. .. .. o.3x. | 3 0 | 3 0 0 | 160 * * * * | 6 0 1 0 0 | 12 0 6 0 0 0 | 4 4 0 0 12 0 0 0 | 1 0 4 4 0
.. .. .. .. ox ..&#x | 1 2 | 0 2 1 | * 480 * * * | 0 6 1 0 0 | 0 12 6 0 0 0 | 0 0 4 4 12 0 0 0 | 0 1 4 4 0
.. .. .. .. .. xo&#x | 2 1 | 1 2 0 | * * 60 * * ♦ 0 0 8 0 0 | 0 0 24 0 0 0 | 0 0 0 0 32 0 0 0 | 0 0 8 8 0
.. .. .. .o3.x .. | 0 3 | 0 0 3 | * * * 960 * | 0 1 0 4 1 | 0 4 1 2 2 4 | 0 0 2 2 4 1 2 2 | 0 1 2 2 1
.. .. .. .. .x3.o | 0 3 | 0 0 3 | * * * * 160 ♦ 0 0 1 0 6 | 0 0 6 0 0 12 | 0 0 0 0 12 0 4 4 | 0 0 4 4 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. .. .. o.3o.3x. | 4 0 | 6 0 0 | 4 0 0 0 0 | 240 * * * * | 4 0 1 0 0 0 | 2 2 0 0 4 0 0 0 | 1 0 2 2 0
.. .. .. oo3ox ..&#x | 1 3 | 0 3 3 | 0 3 0 1 0 | * 960 * * * | 0 4 1 0 0 0 | 0 0 2 2 4 0 0 0 | 0 1 2 2 0
.. .. .. .. ox3xo&#x | 3 3 | 3 6 3 | 1 3 3 0 1 | * * 160 * * ♦ 0 0 6 0 0 0 | 0 0 0 0 12 0 0 0 | 0 0 4 4 0
.. .o .. .o3.x .. | 0 4 | 0 0 6 | 0 0 0 4 0 | * * * 960 * | 0 1 0 1 1 1 | 0 0 1 1 1 1 1 1 | 0 1 1 1 1
.. .. .. .o3.x3.o | 0 6 | 0 0 12 | 0 0 0 4 4 | * * * * 240 ♦ 0 0 1 0 0 4 | 0 0 0 0 4 0 2 2 | 0 0 2 2 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
.. o. .. *b3o.3o.3x. ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 192 * * * * * | 1 1 0 0 1 0 0 0 | 1 0 1 1 0
.. oo .. *b3oo3ox ..&#x ♦ 1 4 | 0 4 6 | 0 6 0 4 0 | 0 4 0 1 0 | * 960 * * * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.. .. .. oo3ox3xo&#x ♦ 4 6 | 6 12 12 | 4 12 6 4 4 | 1 4 4 0 1 | * * 240 * * * | 0 0 0 0 4 0 0 0 | 0 0 2 2 0
.o3.o .. *b3.o3.x .. ♦ 0 5 | 0 0 10 | 0 0 0 10 0 | 0 0 0 5 0 | * * * 192 * * | 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .o3.o *b3.o3.x .. ♦ 0 5 | 0 0 10 | 0 0 0 10 0 | 0 0 0 5 0 | * * * * 192 * | 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .o .. *b3.o3.x3.o ♦ 0 10 | 0 0 30 | 0 0 0 20 10 | 0 0 0 5 5 | * * * * * 192 | 0 0 0 0 1 0 1 1 | 0 0 1 1 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
o.3o. .. *b3o.3o.3x. ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 0 | 32 * * * * * * * | 1 0 1 0 0
.. o.3o. *b3o.3o.3x. ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 0 | * 32 * * * * * * | 1 0 0 1 0
oo3oo .. *b3oo3ox ..&#x ♦ 1 5 | 0 5 10 | 0 10 0 10 0 | 0 10 0 5 0 | 0 5 0 1 0 0 | * * 192 * * * * * | 0 1 1 0 0
.. oo3oo *b3oo3ox ..&#x ♦ 1 5 | 0 5 10 | 0 10 0 10 0 | 0 10 0 5 0 | 0 5 0 0 1 0 | * * * 192 * * * * | 0 1 0 1 0
.. oo .. *b3oo3ox3xo&#x ♦ 5 10 | 10 20 30 | 10 30 10 20 10 | 5 20 10 5 5 | 1 5 5 0 0 1 | * * * * 192 * * * | 0 0 1 1 0
.o3.o3.o *b3.o3.x .. ♦ 0 10 | 0 0 40 | 0 0 0 80 0 | 0 0 0 80 0 | 0 0 0 16 16 0 | * * * * * 12 * * | 0 1 0 0 1
.o3.o .. *b3.o3.x3.o ♦ 0 15 | 0 0 60 | 0 0 0 60 20 | 0 0 0 30 15 | 0 0 0 6 0 6 | * * * * * * 32 * | 0 0 1 0 1
.. .o3.o *b3.o3.x3.o ♦ 0 15 | 0 0 60 | 0 0 0 60 20 | 0 0 0 30 15 | 0 0 0 0 6 6 | * * * * * * * 32 | 0 0 0 1 1
------------------------+-------+------------+--------------------+---------------------+-------------------------+----------------------------+-------------
o.3o.3o. *b3o.3o.3x. ♦ 12 0 | 60 0 0 | 160 0 0 0 0 | 240 0 0 0 0 | 192 0 0 0 0 0 | 32 32 0 0 0 0 0 0 | 1 * * * *
oo3oo3oo *b3oo3ox ..&#x ♦ 1 10 | 0 10 40 | 0 40 0 80 0 | 0 80 0 80 0 | 0 80 0 16 16 0 | 0 0 16 16 0 1 0 0 | * 12 * * *
oo3oo .. *b3oo3ox3xo&#x ♦ 6 15 | 15 30 60 | 20 60 15 60 20 | 15 60 20 30 15 | 6 30 15 6 0 6 | 1 0 6 0 6 0 1 0 | * * 32 * *
.. oo3oo *b3oo3ox3xo&#x ♦ 6 15 | 15 30 60 | 20 60 15 60 20 | 15 60 20 30 15 | 6 30 15 0 6 6 | 0 1 0 6 6 0 0 1 | * * * 32 *
.o3.o3.o *b3.o3.x3.o ♦ 0 60 | 0 0 480 | 0 0 0 960 160 | 0 0 0 960 240 | 0 0 0 192 192 192 | 0 0 0 0 0 12 32 32 | * * * * 1
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