| Acronym | sikvacadint |
| Name | small skewverted cellidispenteractitriacontaditeron |
| Circumradius | sqrt[11+2 sqrt(2)]/2 = 1.859330 |
| Coordinates | (1+sqrt(2), 1+sqrt(2), sqrt(2)-1, 1, 1)/2 & all permutations, all changes of sign |
| Colonel of regiment | skivbadant |
| Face vector | 960, 3840, 3760, 1080, 92 |
| Confer |
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As abstract polytope sikvacadint is isomorphic to gikvacadint, thereby replacing octagons by octagrams, resp. querco by sirco, socco by gocco, tic by quith, and op by stop, resp. gikviphado by skiviphado, ticcup by quithip, and rawvatoth by wavitoth. – As such gektabcadont is a lieutenant.
Incidence matrix according to Dynkin symbol
3 3 3
x---o---x---o
4/3 \ / 4
x
x3o3x3o *b4/3x4*c
. . . . . | 960 | 2 4 2 | 1 4 2 2 1 2 4 | 2 1 2 4 1 2 2 | 1 2 2 1
------------------+-----+--------------+-----------------------------+--------------------------+------------
x . . . . | 2 | 960 * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
. . x . . | 2 | * 1920 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1
. . . . x | 2 | * * 960 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1
------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o . . . | 3 | 3 0 0 | 320 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0
x . x . . | 4 | 2 2 0 | * 960 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0
x . . . x | 4 | 2 0 2 | * * 480 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0
. o3x . . | 3 | 0 3 0 | * * * 640 * * * | 1 0 0 0 1 1 0 | 1 1 0 1
. o . . *b4/3x | 4 | 0 0 4 | * * * * 240 * * | 0 1 0 0 0 2 0 | 0 2 0 1
. . x3o . | 3 | 0 3 0 | * * * * * 640 * | 0 0 1 0 1 0 1 | 1 0 1 1
. . x . x4*c | 8 | 0 4 4 | * * * * * * 480 | 0 0 0 1 0 1 1 | 0 1 1 1 {8}
------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 160 * * * * * * | 1 1 0 0
x3o . . *b4/3x ♦ 24 | 24 0 24 | 8 0 12 0 6 0 0 | * 40 * * * * * | 0 2 0 0
x . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 0 2 0 | * * 320 * * * * | 1 0 1 0
x . x . x4*c ♦ 16 | 8 8 8 | 0 4 4 0 0 0 2 | * * * 240 * * * | 0 1 1 0
. o3x3o . ♦ 6 | 0 12 0 | 0 0 0 4 0 4 0 | * * * * 160 * * | 1 0 0 1
. o3x . *b4/3x4*c ♦ 24 | 0 24 24 | 0 0 0 8 6 0 6 | * * * * * 80 * | 0 1 0 1
. . x3o x4*c ♦ 24 | 0 24 12 | 0 0 0 0 0 8 6 | * * * * * * 80 | 0 0 1 1
------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x3o . ♦ 30 | 30 60 0 | 10 30 0 20 0 20 0 | 5 0 10 0 5 0 0 | 32 * * *
x3o3x . *b4/3x4*c ♦ 192 | 192 192 192 | 64 96 96 64 48 0 48 | 16 8 0 24 0 8 0 | * 10 * *
x . x3o x4*c ♦ 48 | 24 48 24 | 0 24 12 0 0 16 12 | 0 0 8 6 0 0 2 | * * 40 *
. o3x3o *b4/3x4*c ♦ 96 | 0 192 96 | 0 0 0 64 24 64 48 | 0 0 0 0 16 8 8 | * * * 10
3 3 3/2
x---o---x---o
4/3 \ / 4
x
x3o3x3/2o *b4/3x4*c
. . . . . | 960 | 2 4 2 | 1 4 2 2 1 2 4 | 2 1 2 4 1 2 2 | 1 2 2 1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x . . . . | 2 | 960 * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
. . x . . | 2 | * 1920 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1
. . . . x | 2 | * * 960 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o . . . | 3 | 3 0 0 | 320 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0
x . x . . | 4 | 2 2 0 | * 960 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0
x . . . x | 4 | 2 0 2 | * * 480 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0
. o3x . . | 3 | 0 3 0 | * * * 640 * * * | 1 0 0 0 1 1 0 | 1 1 0 1
. o . . *b4/3x | 4 | 0 0 4 | * * * * 240 * * | 0 1 0 0 0 2 0 | 0 2 0 1
. . x3/2o . | 3 | 0 3 0 | * * * * * 640 * | 0 0 1 0 1 0 1 | 1 0 1 1
. . x . x4*c | 8 | 0 4 4 | * * * * * * 480 | 0 0 0 1 0 1 1 | 0 1 1 1 {8}
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 160 * * * * * * | 1 1 0 0
x3o . . *b4/3x ♦ 24 | 24 0 24 | 8 0 12 0 6 0 0 | * 40 * * * * * | 0 2 0 0
x . x3/2o . ♦ 6 | 3 6 0 | 0 3 0 0 0 2 0 | * * 320 * * * * | 1 0 1 0
x . x . x4*c ♦ 16 | 8 8 8 | 0 4 4 0 0 0 2 | * * * 240 * * * | 0 1 1 0
. o3x3/2o . ♦ 6 | 0 12 0 | 0 0 0 4 0 4 0 | * * * * 160 * * | 1 0 0 1
. o3x . *b4/3x4*c ♦ 24 | 0 24 24 | 0 0 0 8 6 0 6 | * * * * * 80 * | 0 1 0 1
. . x3/2o x4*c ♦ 24 | 0 24 12 | 0 0 0 0 0 8 6 | * * * * * * 80 | 0 0 1 1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3o3x3/2o . ♦ 30 | 30 60 0 | 10 30 0 20 0 20 0 | 5 0 10 0 5 0 0 | 32 * * *
x3o3x . *b4/3x4*c ♦ 192 | 192 192 192 | 64 96 96 64 48 0 48 | 16 8 0 24 0 8 0 | * 10 * *
x . x3/2o x4*c ♦ 48 | 24 48 24 | 0 24 12 0 0 16 12 | 0 0 8 6 0 0 2 | * * 40 *
. o3x3/2o *b4/3x4*c ♦ 96 | 0 192 96 | 0 0 0 64 24 64 48 | 0 0 0 0 16 8 8 | * * * 10
3/2 3/2 3
x---o---x---o
4 \ / 4
x
x3/2o3/2x3o *b4x4*c
. . . . . | 960 | 2 4 2 | 1 4 2 2 1 2 4 | 2 1 2 4 1 2 2 | 1 2 2 1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x . . . . | 2 | 960 * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
. . x . . | 2 | * 1920 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1
. . . . x | 2 | * * 960 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o . . . | 3 | 3 0 0 | 320 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0
x . x . . | 4 | 2 2 0 | * 960 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0
x . . . x | 4 | 2 0 2 | * * 480 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0
. o3/2x . . | 3 | 0 3 0 | * * * 640 * * * | 1 0 0 0 1 1 0 | 1 1 0 1
. o . . *b4x | 4 | 0 0 4 | * * * * 240 * * | 0 1 0 0 0 2 0 | 0 2 0 1
. . x3o . | 3 | 0 3 0 | * * * * * 640 * | 0 0 1 0 1 0 1 | 1 0 1 1
. . x . x4*c | 8 | 0 4 4 | * * * * * * 480 | 0 0 0 1 0 1 1 | 0 1 1 1 {8}
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 160 * * * * * * | 1 1 0 0
x3/2o . . *b4x ♦ 24 | 24 0 24 | 8 0 12 0 6 0 0 | * 40 * * * * * | 0 2 0 0
x . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 0 2 0 | * * 320 * * * * | 1 0 1 0
x . x . x4*c ♦ 16 | 8 8 8 | 0 4 4 0 0 0 2 | * * * 240 * * * | 0 1 1 0
. o3/2x3o . ♦ 6 | 0 12 0 | 0 0 0 4 0 4 0 | * * * * 160 * * | 1 0 0 1
. o3/2x . *b4x4*c ♦ 24 | 0 24 24 | 0 0 0 8 6 0 6 | * * * * * 80 * | 0 1 0 1
. . x3o x4*c ♦ 24 | 0 24 12 | 0 0 0 0 0 8 6 | * * * * * * 80 | 0 0 1 1
--------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x3o . ♦ 30 | 30 60 0 | 10 30 0 20 0 20 0 | 5 0 10 0 5 0 0 | 32 * * *
x3/2o3/2x . *b4x4*c ♦ 192 | 192 192 192 | 64 96 96 64 48 0 48 | 16 8 0 24 0 8 0 | * 10 * *
x . x3o x4*c ♦ 48 | 24 48 24 | 0 24 12 0 0 16 12 | 0 0 8 6 0 0 2 | * * 40 *
. o3/2x3o *b4x4*c ♦ 96 | 0 192 96 | 0 0 0 64 24 64 48 | 0 0 0 0 16 8 8 | * * * 10
3/2 3/2 3/2
x---o---x---o
4 \ / 4
x
x3/2o3/2x3/2o *b4x4*c
. . . . . | 960 | 2 4 2 | 1 4 2 2 1 2 4 | 2 1 2 4 1 2 2 | 1 2 2 1
----------------------+-----+--------------+-----------------------------+--------------------------+------------
x . . . . | 2 | 960 * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
. . x . . | 2 | * 1920 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1
. . . . x | 2 | * * 960 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1
----------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o . . . | 3 | 3 0 0 | 320 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0
x . x . . | 4 | 2 2 0 | * 960 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0
x . . . x | 4 | 2 0 2 | * * 480 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0
. o3/2x . . | 3 | 0 3 0 | * * * 640 * * * | 1 0 0 0 1 1 0 | 1 1 0 1
. o . . *b4x | 4 | 0 0 4 | * * * * 240 * * | 0 1 0 0 0 2 0 | 0 2 0 1
. . x3/2o . | 3 | 0 3 0 | * * * * * 640 * | 0 0 1 0 1 0 1 | 1 0 1 1
. . x . x4*c | 8 | 0 4 4 | * * * * * * 480 | 0 0 0 1 0 1 1 | 0 1 1 1 {8}
----------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | 160 * * * * * * | 1 1 0 0
x3/2o . . *b4x ♦ 24 | 24 0 24 | 8 0 12 0 6 0 0 | * 40 * * * * * | 0 2 0 0
x . x3/2o . ♦ 6 | 3 6 0 | 0 3 0 0 0 2 0 | * * 320 * * * * | 1 0 1 0
x . x . x4*c ♦ 16 | 8 8 8 | 0 4 4 0 0 0 2 | * * * 240 * * * | 0 1 1 0
. o3/2x3/2o . ♦ 6 | 0 12 0 | 0 0 0 4 0 4 0 | * * * * 160 * * | 1 0 0 1
. o3/2x . *b4x4*c ♦ 24 | 0 24 24 | 0 0 0 8 6 0 6 | * * * * * 80 * | 0 1 0 1
. . x3/2o x4*c ♦ 24 | 0 24 12 | 0 0 0 0 0 8 6 | * * * * * * 80 | 0 0 1 1
----------------------+-----+--------------+-----------------------------+--------------------------+------------
x3/2o3/2x3/2o . ♦ 30 | 30 60 0 | 10 30 0 20 0 20 0 | 5 0 10 0 5 0 0 | 32 * * *
x3/2o3/2x . *b4x4*c ♦ 192 | 192 192 192 | 64 96 96 64 48 0 48 | 16 8 0 24 0 8 0 | * 10 * *
x . x3/2o x4*c ♦ 48 | 24 48 24 | 0 24 12 0 0 16 12 | 0 0 8 6 0 0 2 | * * 40 *
. o3/2x3/2o *b4x4*c ♦ 96 | 0 192 96 | 0 0 0 64 24 64 48 | 0 0 0 0 16 8 8 | * * * 10
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