| Acronym | squagippid |
| Name | square - great-prismated-pentachoron duoprism |
| Circumradius | sqrt(11/2) = 2.345208 |
| Face vector | 480, 1440, 1680, 960, 274, 34 |
| Confer |
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Incidence matrix according to Dynkin symbol
x4o x3x3x3x . . . . . . | 480 | 2 2 2 | 1 4 4 2 2 1 1 | 2 2 4 4 2 2 2 2 | 2 2 1 1 4 4 1 | 2 2 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x . . . . . | 2 | 480 * * | 1 2 2 0 0 0 0 | 2 2 2 2 1 1 0 0 | 2 2 1 1 2 2 0 | 2 2 1 . . x . . . & | 2 | * 480 * | 0 2 0 1 1 1 0 | 1 0 2 2 2 0 1 2 | 1 1 1 0 2 4 1 | 1 2 2 . . . x . . & | 2 | * * 480 | 0 0 2 1 1 0 1 | 0 1 2 2 0 2 2 1 | 1 1 0 1 4 2 1 | 2 1 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x4o . . . . | 4 | 4 0 0 | 120 * * * * * * | 2 2 0 0 0 0 0 0 | 2 2 1 1 0 0 0 | 2 2 0 x . x . . . & | 4 | 2 2 0 | * 480 * * * * * | 1 0 1 1 1 0 0 0 | 1 1 1 0 1 2 0 | 1 2 1 x . . x . . & | 4 | 2 0 2 | * * 480 * * * * | 0 1 1 1 0 1 0 0 | 1 1 0 1 2 1 0 | 2 1 1 . . x3x . . & | 6 | 0 3 3 | * * * 160 * * * | 0 0 2 0 0 0 1 1 | 1 0 0 0 2 2 1 | 1 1 2 . . x . x . & | 4 | 0 2 2 | * * * * 240 * * | 0 0 0 2 0 0 1 1 | 0 1 0 0 2 2 1 | 1 1 2 . . x . . x | 4 | 0 4 0 | * * * * * 120 * | 0 0 0 0 2 0 0 2 | 0 0 1 0 0 4 1 | 0 2 2 . . . x3x . | 6 | 0 0 6 | * * * * * * 80 | 0 0 0 0 0 2 2 0 | 0 0 0 1 4 0 1 | 2 0 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x4o x . . . & ♦ 8 | 8 4 0 | 2 4 0 0 0 0 0 | 120 * * * * * * * | 1 1 1 0 0 0 0 | 1 2 0 x4o . x . . & ♦ 8 | 8 0 4 | 2 0 4 0 0 0 0 | * 120 * * * * * * | 1 1 0 1 0 0 0 | 2 1 0 x . x3x . . & ♦ 12 | 6 6 6 | 0 3 3 2 0 0 0 | * * 160 * * * * * | 1 0 0 0 1 1 0 | 1 1 1 x . x . x . & ♦ 8 | 4 4 4 | 0 2 2 0 2 0 0 | * * * 240 * * * * | 0 1 0 0 1 1 0 | 1 1 1 x . x . . x ♦ 8 | 4 8 0 | 0 4 0 0 0 2 0 | * * * * 120 * * * | 0 0 1 0 0 2 0 | 0 2 1 x . . x3x . ♦ 12 | 6 0 12 | 0 0 6 0 0 0 2 | * * * * * 80 * * | 0 0 0 1 2 0 0 | 2 0 1 . . x3x3x . & ♦ 24 | 0 12 24 | 0 0 0 4 6 0 4 | * * * * * * 40 * | 0 0 0 0 2 0 1 | 1 0 2 . . x3x . x & ♦ 12 | 0 12 6 | 0 0 0 2 3 3 0 | * * * * * * * 80 | 0 0 0 0 0 2 1 | 0 1 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x4o x3x . . & ♦ 24 | 24 12 12 | 6 12 12 4 0 0 0 | 3 3 4 0 0 0 0 0 | 40 * * * * * * | 1 1 0 x4o x . x . & ♦ 16 | 16 8 8 | 4 8 8 0 4 0 0 | 2 2 0 4 0 0 0 0 | * 60 * * * * * | 1 1 0 x4o x . . x ♦ 16 | 16 16 0 | 4 16 0 0 0 4 0 | 4 0 0 0 4 0 0 0 | * * 30 * * * * | 0 2 0 x4o . x3x . ♦ 24 | 24 0 24 | 6 0 24 0 0 0 4 | 0 6 0 0 0 4 0 0 | * * * 20 * * * | 2 0 0 x . x3x3x . & ♦ 48 | 24 24 48 | 0 12 24 8 12 0 8 | 0 0 4 6 0 4 2 0 | * * * * 40 * * | 1 0 1 x . x3x . x & ♦ 24 | 12 24 12 | 0 12 6 4 6 6 0 | 0 0 2 3 3 0 0 2 | * * * * * 80 * | 0 1 1 . . x3x3x3x ♦ 120 | 0 120 120 | 0 0 0 40 60 30 20 | 0 0 0 0 0 0 10 20 | * * * * * * 4 | 0 0 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x4o x3x3x . & ♦ 96 | 96 48 96 | 24 48 96 16 24 0 16 | 12 24 16 24 0 16 4 0 | 4 6 0 4 4 0 0 | 10 * * x4o x3x . x & ♦ 48 | 48 48 24 | 12 48 24 8 12 12 0 | 12 6 8 12 12 0 0 4 | 2 3 3 0 0 4 0 | * 20 * x . x3x3x3x & ♦ 240 | 120 240 240 | 0 120 120 80 120 60 40 | 0 0 40 60 30 20 20 40 | 0 0 0 0 10 20 2 | * * 4
x x x3x3x3x . . . . . . | 480 | 2 2 2 | 1 4 4 2 2 1 1 | 2 2 4 4 2 2 2 2 | 2 2 1 1 4 4 1 | 2 2 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x . . . . . & | 2 | 480 * * | 1 2 2 0 0 0 0 | 2 2 2 2 1 1 0 0 | 2 2 1 1 2 2 0 | 2 2 1 . . x . . . & | 2 | * 480 * | 0 2 0 1 1 1 0 | 1 0 2 2 2 0 1 2 | 1 1 1 0 2 4 1 | 1 2 2 . . . x . . & | 2 | * * 480 | 0 0 2 1 1 0 1 | 0 1 2 2 0 2 2 1 | 1 1 0 1 4 2 1 | 2 1 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x x . . . . | 4 | 4 0 0 | 120 * * * * * * | 2 2 0 0 0 0 0 0 | 2 2 1 1 0 0 0 | 2 2 0 x . x . . . & | 4 | 2 2 0 | * 480 * * * * * | 1 0 1 1 1 0 0 0 | 1 1 1 0 1 2 0 | 1 2 1 x . . x . . & | 4 | 2 0 2 | * * 480 * * * * | 0 1 1 1 0 1 0 0 | 1 1 0 1 2 1 0 | 2 1 1 . . x3x . . & | 6 | 0 3 3 | * * * 160 * * * | 0 0 2 0 0 0 1 1 | 1 0 0 0 2 2 1 | 1 1 2 . . x . x . & | 4 | 0 2 2 | * * * * 240 * * | 0 0 0 2 0 0 1 1 | 0 1 0 0 2 2 1 | 1 1 2 . . x . . x | 4 | 0 4 0 | * * * * * 120 * | 0 0 0 0 2 0 0 2 | 0 0 1 0 0 4 1 | 0 2 2 . . . x3x . | 6 | 0 0 6 | * * * * * * 80 | 0 0 0 0 0 2 2 0 | 0 0 0 1 4 0 1 | 2 0 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x x x . . . & ♦ 8 | 8 4 0 | 2 4 0 0 0 0 0 | 120 * * * * * * * | 1 1 1 0 0 0 0 | 1 2 0 x x . x . . & ♦ 8 | 8 0 4 | 2 0 4 0 0 0 0 | * 120 * * * * * * | 1 1 0 1 0 0 0 | 2 1 0 x . x3x . . & ♦ 12 | 6 6 6 | 0 3 3 2 0 0 0 | * * 160 * * * * * | 1 0 0 0 1 1 0 | 1 1 1 x . x . x . & ♦ 8 | 4 4 4 | 0 2 2 0 2 0 0 | * * * 240 * * * * | 0 1 0 0 1 1 0 | 1 1 1 x . x . . x ♦ 8 | 4 8 0 | 0 4 0 0 0 2 0 | * * * * 120 * * * | 0 0 1 0 0 2 0 | 0 2 1 x . . x3x . ♦ 12 | 6 0 12 | 0 0 6 0 0 0 2 | * * * * * 80 * * | 0 0 0 1 2 0 0 | 2 0 1 . . x3x3x . & ♦ 24 | 0 12 24 | 0 0 0 4 6 0 4 | * * * * * * 40 * | 0 0 0 0 2 0 1 | 1 0 2 . . x3x . x & ♦ 12 | 0 12 6 | 0 0 0 2 3 3 0 | * * * * * * * 80 | 0 0 0 0 0 2 1 | 0 1 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x x x3x . . & ♦ 24 | 24 12 12 | 6 12 12 4 0 0 0 | 3 3 4 0 0 0 0 0 | 40 * * * * * * | 1 1 0 x x x . x . & ♦ 16 | 16 8 8 | 4 8 8 0 4 0 0 | 2 2 0 4 0 0 0 0 | * 60 * * * * * | 1 1 0 x x x . . x ♦ 16 | 16 16 0 | 4 16 0 0 0 4 0 | 4 0 0 0 4 0 0 0 | * * 30 * * * * | 0 2 0 x x . x3x . ♦ 24 | 24 0 24 | 6 0 24 0 0 0 4 | 0 6 0 0 0 4 0 0 | * * * 20 * * * | 2 0 0 x . x3x3x . & ♦ 48 | 24 24 48 | 0 12 24 8 12 0 8 | 0 0 4 6 0 4 2 0 | * * * * 40 * * | 1 0 1 x . x3x . x & ♦ 24 | 12 24 12 | 0 12 6 4 6 6 0 | 0 0 2 3 3 0 0 2 | * * * * * 80 * | 0 1 1 . . x3x3x3x ♦ 120 | 0 120 120 | 0 0 0 40 60 30 20 | 0 0 0 0 0 0 10 20 | * * * * * * 4 | 0 0 2 --------------+-----+-------------+----------------------------+------------------------------+---------------------+-------- x x x3x3x . & ♦ 96 | 96 48 96 | 24 48 96 16 24 0 16 | 12 24 16 24 0 16 4 0 | 4 6 0 4 4 0 0 | 10 * * x x x3x . x & ♦ 48 | 48 48 24 | 12 48 24 8 12 12 0 | 12 6 8 12 12 0 0 4 | 2 3 3 0 0 4 0 | * 20 * x . x3x3x3x & ♦ 240 | 120 240 240 | 0 120 120 80 120 60 40 | 0 0 40 60 30 20 20 40 | 0 0 0 0 10 20 2 | * * 4
xx xx3xx3xx3xx&#x → height = 1 o. o.3o.3o.3o. & | 480 | 1 2 2 1 | 2 2 2 2 1 1 1 2 2 | 2 2 1 1 2 2 2 2 2 2 1 1 | 2 2 1 2 2 1 1 2 2 | 1 2 2 1 --------------------+-----+-----------------+------------------------------------+-----------------------------------------+---------------------------+---------- x. .. .. .. .. & | 2 | 240 * * * | 2 2 0 0 0 0 1 0 0 | 2 2 1 1 0 0 2 2 0 0 0 0 | 2 2 0 2 2 1 1 0 0 | 1 2 2 0 .. x. .. .. .. & | 2 | * 480 * * | 1 0 1 1 1 0 0 1 0 | 1 1 1 0 1 2 1 0 1 1 1 0 | 1 2 1 1 1 1 0 1 2 | 1 1 2 1 .. .. x. .. .. & | 2 | * * 480 * | 0 1 1 1 0 1 0 0 1 | 1 1 0 1 2 1 0 1 1 1 0 1 | 2 1 1 1 1 0 1 2 1 | 1 2 1 1 oo oo3oo3oo3oo&#x | 2 | * * * 240 | 0 0 0 0 0 0 1 2 2 | 0 0 0 0 0 0 2 2 2 2 1 1 | 0 0 0 2 2 1 1 2 2 | 0 2 2 1 --------------------+-----+-----------------+------------------------------------+-----------------------------------------+---------------------------+---------- x. x. .. .. .. & | 4 | 2 2 0 0 | 240 * * * * * * * * | 1 1 1 0 0 0 1 0 0 0 0 0 | 1 2 0 1 1 1 0 0 0 | 1 1 2 0 x. .. x. .. .. & | 4 | 2 0 2 0 | * 240 * * * * * * * | 1 1 0 1 0 0 0 1 0 0 0 0 | 2 1 0 1 1 0 1 0 0 | 1 2 1 0 .. x.3x. .. .. & | 6 | 0 3 3 0 | * * 160 * * * * * * | 1 0 0 0 1 1 0 0 1 0 0 0 | 1 1 1 1 0 0 0 1 1 | 1 1 1 1 .. x. .. x. .. & | 4 | 0 2 2 0 | * * * 240 * * * * * | 0 1 0 0 1 1 0 0 0 1 0 0 | 1 1 1 0 1 0 0 1 1 | 1 1 1 1 .. x. .. .. x. & | 4 | 0 4 0 0 | * * * * 120 * * * * | 0 0 1 0 0 2 0 0 0 0 1 0 | 0 2 1 0 0 1 0 0 2 | 1 0 2 1 .. .. x.3x. .. & | 6 | 0 0 6 0 | * * * * * 80 * * * | 0 0 0 1 2 0 0 0 0 0 0 1 | 2 0 1 0 0 0 1 2 0 | 1 2 0 1 xx .. .. .. ..&#x | 4 | 2 0 0 2 | * * * * * * 120 * * | 0 0 0 0 0 0 2 2 0 0 0 0 | 0 0 0 2 2 1 1 0 0 | 0 2 2 0 .. xx .. .. ..&#x & | 4 | 0 2 0 2 | * * * * * * * 240 * | 0 0 0 0 0 0 1 0 1 1 1 0 | 0 0 0 1 1 1 0 1 2 | 0 1 2 1 .. .. xx .. ..&#x & | 4 | 0 0 2 2 | * * * * * * * * 240 | 0 0 0 0 0 0 0 1 1 1 0 1 | 0 0 0 1 1 0 1 2 1 | 0 2 1 1 --------------------+-----+-----------------+------------------------------------+-----------------------------------------+---------------------------+---------- x. x.3x. .. .. & ♦ 12 | 6 6 6 0 | 3 3 2 0 0 0 0 0 0 | 80 * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 x. x. .. x. .. & ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 0 0 | * 120 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 1 0 x. x. .. .. x. & ♦ 8 | 4 8 0 0 | 4 0 0 0 2 0 0 0 0 | * * 60 * * * * * * * * * | 0 2 0 0 0 1 0 0 0 | 1 0 2 0 x. .. x.3x. .. & ♦ 12 | 6 0 12 0 | 0 6 0 0 0 2 0 0 0 | * * * 40 * * * * * * * * | 2 0 0 0 0 0 1 0 0 | 1 2 0 0 .. x.3x.3x. .. & ♦ 24 | 0 12 24 0 | 0 0 4 6 0 4 0 0 0 | * * * * 40 * * * * * * * | 1 0 1 0 0 0 0 1 0 | 1 1 0 1 .. x.3x. .. x. & ♦ 12 | 0 12 6 0 | 0 0 2 3 3 0 0 0 0 | * * * * * 80 * * * * * * | 0 1 1 0 0 0 0 0 1 | 1 0 1 1 xx xx .. .. ..&#x & ♦ 8 | 4 4 0 4 | 2 0 0 0 0 0 2 2 0 | * * * * * * 120 * * * * * | 0 0 0 1 1 1 0 0 0 | 0 1 2 0 xx .. xx .. ..&#x & ♦ 8 | 4 0 4 4 | 0 2 0 0 0 0 2 0 2 | * * * * * * * 120 * * * * | 0 0 0 1 1 0 1 0 0 | 0 2 1 0 .. xx3xx .. ..&#x & ♦ 12 | 0 6 6 6 | 0 0 2 0 0 0 0 3 3 | * * * * * * * * 80 * * * | 0 0 0 1 0 0 0 1 1 | 0 1 1 1 .. xx .. xx ..&#x & ♦ 8 | 0 4 4 4 | 0 0 0 2 0 0 0 2 2 | * * * * * * * * * 120 * * | 0 0 0 0 1 0 0 1 1 | 0 1 1 1 .. xx .. .. xx&#x ♦ 8 | 0 8 0 4 | 0 0 0 0 2 0 0 4 0 | * * * * * * * * * * 60 * | 0 0 0 0 0 1 0 0 2 | 0 0 2 1 .. .. xx3xx ..&#x ♦ 12 | 0 0 12 6 | 0 0 0 0 0 2 0 0 6 | * * * * * * * * * * * 40 | 0 0 0 0 0 0 1 2 0 | 0 2 0 1 --------------------+-----+-----------------+------------------------------------+-----------------------------------------+---------------------------+---------- x. x.3x.3x. .. & ♦ 48 | 24 24 48 0 | 12 24 8 12 0 8 0 0 0 | 4 6 0 4 2 0 0 0 0 0 0 0 | 20 * * * * * * * * | 1 1 0 0 x. x.3x. .. x. & ♦ 24 | 12 24 12 0 | 12 6 4 6 6 0 0 0 0 | 2 3 3 0 0 2 0 0 0 0 0 0 | * 40 * * * * * * * | 1 0 1 0 .. x.3x.3x.3x. & ♦ 120 | 0 120 120 0 | 0 0 40 60 30 20 0 0 0 | 0 0 0 0 10 20 0 0 0 0 0 0 | * * 4 * * * * * * | 1 0 0 1 xx xx3xx .. ..&#x & ♦ 24 | 12 12 12 12 | 6 6 4 0 0 0 6 6 6 | 2 0 0 0 0 0 3 3 2 0 0 0 | * * * 40 * * * * * | 0 1 1 0 xx xx .. xx ..&#x & ♦ 16 | 8 8 8 8 | 4 4 0 4 0 0 4 4 4 | 0 2 0 0 0 0 2 2 0 2 0 0 | * * * * 60 * * * * | 0 1 1 0 xx xx .. .. xx&#x ♦ 16 | 8 16 0 8 | 8 0 0 0 4 0 4 8 0 | 0 0 2 0 0 0 4 0 0 0 2 0 | * * * * * 30 * * * | 0 0 2 0 xx .. xx3xx ..&#x ♦ 24 | 12 0 24 12 | 0 12 0 0 0 4 6 0 12 | 0 0 0 2 0 0 0 6 0 0 0 2 | * * * * * * 20 * * | 0 2 0 0 .. xx3xx3xx ..&#x & ♦ 48 | 0 24 48 24 | 0 0 8 12 0 8 0 12 24 | 0 0 0 0 2 0 0 0 4 6 0 4 | * * * * * * * 20 * | 0 1 0 1 .. xx3xx .. xx&#x & ♦ 24 | 0 24 12 12 | 0 0 4 6 6 0 0 12 6 | 0 0 0 0 0 2 0 0 2 3 3 0 | * * * * * * * * 40 | 0 0 1 1 --------------------+-----+-----------------+------------------------------------+-----------------------------------------+---------------------------+---------- x. x.3x.3x.3x. & ♦ 240 | 120 240 240 0 | 120 120 80 120 60 40 0 0 0 | 40 60 30 20 20 40 0 0 0 0 0 0 | 10 20 2 0 0 0 0 0 0 | 2 * * * xx xx3xx3xx ..&#x & ♦ 96 | 48 48 96 48 | 24 48 16 24 0 16 24 24 48 | 8 12 0 8 2 0 12 24 8 12 0 8 | 2 0 0 4 6 0 4 2 0 | * 10 * * xx xx3xx .. xx&#x & ♦ 48 | 24 48 24 24 | 24 12 8 12 12 0 12 24 12 | 4 6 6 0 0 4 12 6 4 6 6 0 | 0 2 0 2 3 3 0 0 2 | * * 20 * .. xx3xx3xx3xx&#x ♦ 240 | 0 240 240 120 | 0 0 80 120 60 40 0 120 120 | 0 0 0 0 20 40 0 0 40 60 30 20 | 0 0 2 0 0 0 0 10 20 | * * * 2
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