Acronym | ictum |
Name |
(degenerate) ico-based tutsateron, ico-first bistratic "cap" of thext |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 240, 696, 720, 312, 50 |
Confer |
|
It either can be thought of as a degenerate 5D tutsatope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
xux3xoo4ooo3ooo&#xt → both heights = 0 (tico || u-ico || ico) o..3o..4o..3o.. | 192 * * | 1 3 1 0 0 | 3 3 1 3 0 | 3 1 3 3 0 | 1 3 1 0 .o.3.o.4.o.3.o. | * 24 * | 0 0 8 1 0 | 0 0 8 12 0 | 0 0 12 6 0 | 0 6 1 0 ..o3..o4..o3..o | * * 24 | 0 0 0 1 8 | 0 0 8 0 12 | 0 0 12 0 6 | 0 6 0 1 --------------------+-----------+------------------+------------------+-----------------+---------- x.. ... ... ... | 2 0 0 | 96 * * * * | 3 0 1 0 0 | 3 0 3 0 0 | 1 3 0 0 ... x.. ... ... | 2 0 0 | * 288 * * * | 1 2 0 1 0 | 2 1 1 2 0 | 1 2 1 0 oo.3oo.4oo.3oo.&#x | 1 1 0 | * * 192 * * | 0 0 1 3 0 | 0 0 3 3 0 | 0 3 1 0 .oo3.oo4.oo3.oo&#x | 0 1 1 | * * * 24 * ♦ 0 0 8 0 0 | 0 0 12 0 0 | 0 6 0 0 ..x ... ... ... | 0 0 2 | * * * * 96 | 0 0 1 0 3 | 0 0 3 0 3 | 0 3 0 1 --------------------+-----------+------------------+------------------+-----------------+---------- x..3x.. ... ... | 6 0 0 | 3 3 0 0 0 | 96 * * * * | 2 0 1 0 0 | 1 2 0 0 ... x..4o.. ... | 4 0 0 | 0 4 0 0 0 | * 144 * * * | 1 1 0 1 0 | 1 1 1 0 xux ... ... ...&#xt | 2 2 2 | 1 0 2 2 1 | * * 96 * * | 0 0 3 0 0 | 0 3 0 0 ... xo. ... ...&#x | 2 1 0 | 0 1 2 0 0 | * * * 288 * | 0 0 1 2 0 | 0 2 1 0 ..x3..o ... ... | 0 0 3 | 0 0 0 0 3 | * * * * 96 | 0 0 1 0 2 | 0 2 0 1 --------------------+-----------+------------------+------------------+-----------------+---------- x..3x..4o.. ... ♦ 24 0 0 | 12 24 0 0 0 | 8 6 0 0 0 | 24 * * * * | 1 1 0 0 ... x..4o..3o.. ♦ 8 0 0 | 0 12 0 0 0 | 0 6 0 0 0 | * 24 * * * | 1 0 1 0 xux3xoo ... ...&#xt ♦ 6 3 3 | 3 3 6 3 3 | 1 0 3 3 1 | * * 96 * * | 0 2 0 0 ... xo.4oo. ...&#x ♦ 4 1 0 | 0 4 4 0 0 | 0 1 0 4 0 | * * * 144 * | 0 1 1 0 ..x3..o4..o ... ♦ 0 0 6 | 0 0 0 0 12 | 0 0 0 0 8 | * * * * 24 | 0 1 0 1 --------------------+-----------+------------------+------------------+-----------------+---------- x..3x..4o..3o.. ♦ 192 0 0 | 96 288 0 0 0 | 96 144 0 0 0 | 24 24 0 0 0 | 1 * * * xux3xoo4ooo ...&#xt ♦ 24 6 6 | 12 24 24 6 12 | 8 6 12 24 8 | 1 0 8 6 1 | * 24 * * ... xo.4oo.3oo.&#x ♦ 8 1 0 | 0 12 8 0 0 | 0 6 0 12 0 | 0 1 0 6 0 | * * 24 * ..x3..o4..o3..o ♦ 0 0 24 | 0 0 0 0 96 | 0 0 0 0 96 | 0 0 0 0 24 | * * * 1
xoo3xux3xoo4ooo&#xt → both heights = 0 (tico || u-ico || ico) o..3o..3o..4o.. | 192 * * | 1 1 2 1 0 0 | 1 2 2 1 1 1 2 0 0 | 2 1 1 1 2 2 1 0 0 | 1 2 1 1 0 .o.3.o.3.o.4.o. | * 24 * | 0 0 0 8 1 0 | 0 0 0 0 4 8 8 0 0 | 0 0 0 4 4 8 2 0 0 | 0 4 1 2 0 ..o3..o3..o4..o | * * 24 | 0 0 0 0 1 8 | 0 0 0 0 0 8 0 4 8 | 0 0 0 4 0 8 0 4 2 | 0 4 0 2 1 --------------------+-----------+---------------------+-----------------------------+--------------------------+------------ x.. ... ... ... | 2 0 0 | 96 * * * * * | 1 2 0 0 1 0 0 0 0 | 2 1 0 1 2 0 0 0 0 | 1 2 1 0 0 ... x.. ... ... | 2 0 0 | * 96 * * * * | 1 0 2 0 0 1 0 0 0 | 2 0 1 1 0 2 0 0 0 | 1 2 0 1 0 ... ... x.. ... | 2 0 0 | * * 192 * * * | 0 1 1 1 0 0 1 0 0 | 1 1 1 0 1 1 1 0 0 | 1 1 1 1 0 oo.3oo.3oo.4oo.&#x | 1 1 0 | * * * 192 * * | 0 0 0 0 1 1 2 0 0 | 0 0 0 1 2 2 1 0 0 | 0 2 1 1 0 .oo3.oo3.oo4.oo&#x | 0 1 1 | * * * * 24 * ♦ 0 0 0 0 0 8 0 0 0 | 0 0 0 4 0 8 0 0 0 | 0 4 0 2 0 ... ..x ... ... | 0 0 2 | * * * * * 96 | 0 0 0 0 0 1 0 1 2 | 0 0 0 1 0 2 0 2 1 | 0 2 0 1 1 --------------------+-----------+---------------------+-----------------------------+--------------------------+------------ x..3x.. ... ... | 6 0 0 | 3 3 0 0 0 0 | 32 * * * * * * * * | 2 0 0 1 0 0 0 0 0 | 1 2 0 0 0 x.. ... x.. ... | 4 0 0 | 2 0 2 0 0 0 | * 96 * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 1 0 0 ... x..3x.. ... | 6 0 0 | 0 3 3 0 0 0 | * * 64 * * * * * * | 1 0 1 0 0 1 0 0 0 | 1 1 0 1 0 ... ... x..4o.. | 4 0 0 | 0 0 4 0 0 0 | * * * 48 * * * * * | 0 1 1 0 0 0 1 0 0 | 1 0 1 1 0 xo. ... ... ...&#x | 2 1 0 | 1 0 0 2 0 0 | * * * * 96 * * * * | 0 0 0 1 2 0 0 0 0 | 0 2 1 0 0 ... xux ... ...&#xt | 2 2 2 | 0 1 0 2 2 1 | * * * * * 96 * * * | 0 0 0 1 0 2 0 0 0 | 0 2 0 1 0 ... ... xo. ...&#x | 2 1 0 | 0 0 1 2 0 0 | * * * * * * 192 * * | 0 0 0 0 1 1 1 0 0 | 0 1 1 1 0 ..o3..x ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * 32 * | 0 0 0 1 0 0 0 2 0 | 0 2 0 0 1 ... ..x3..o ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 64 | 0 0 0 0 0 1 0 1 1 | 0 1 0 1 1 --------------------+-----------+---------------------+-----------------------------+--------------------------+------------ x..3x..3x.. ... ♦ 24 0 0 | 12 12 12 0 0 0 | 4 6 4 0 0 0 0 0 0 | 16 * * * * * * * * | 1 1 0 0 0 x.. ... x..4o.. ♦ 8 0 0 | 4 0 8 0 0 0 | 0 4 0 2 0 0 0 0 0 | * 24 * * * * * * * | 1 0 1 0 0 ... x..3x..4o.. ♦ 24 0 0 | 0 12 24 0 0 0 | 0 0 8 6 0 0 0 0 0 | * * 8 * * * * * * | 1 0 0 1 0 xoo3xux ... ...&#xt ♦ 6 3 3 | 3 3 0 6 3 3 | 1 0 0 0 3 3 0 1 0 | * * * 32 * * * * * | 0 2 0 0 0 xo. ... xo. ...&#x ♦ 4 1 0 | 2 0 2 4 0 0 | 0 1 0 0 2 0 2 0 0 | * * * * 96 * * * * | 0 1 1 0 0 ... xux3xoo ...&#xt ♦ 6 3 3 | 0 3 3 6 3 3 | 0 0 1 0 0 3 3 0 1 | * * * * * 64 * * * | 0 1 0 1 0 ... ... xo.4oo.&#x ♦ 4 1 0 | 0 0 4 4 0 0 | 0 0 0 1 0 0 4 0 0 | * * * * * * 48 * * | 0 0 1 1 0 ..o3..x3..o ... ♦ 0 0 6 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 4 4 | * * * * * * * 16 * | 0 1 0 0 1 ... ..x3..o4..o ♦ 0 0 6 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 8 | * * * * * * * * 8 | 0 0 0 1 1 --------------------+-----------+---------------------+-----------------------------+--------------------------+------------ x..3x..3x..4o.. ♦ 192 0 0 | 96 96 192 0 0 0 | 32 96 64 48 0 0 0 0 0 | 16 24 8 0 0 0 0 0 0 | 1 * * * * xoo3xux3xoo ...&#xt ♦ 24 6 6 | 12 12 12 24 6 12 | 4 6 4 0 12 12 12 4 4 | 1 0 0 4 6 4 0 1 0 | * 16 * * * xo. ... xo.4oo.&#x ♦ 8 1 0 | 4 0 8 8 0 0 | 0 4 0 2 4 0 8 0 0 | 0 1 0 0 4 0 2 0 0 | * * 24 * * ... xux3xoo4ooo&#xt ♦ 24 6 6 | 0 12 24 24 6 12 | 0 0 8 6 0 12 24 0 8 | 0 0 1 0 0 8 6 0 1 | * * * 8 * ..o3..x3..o4..o ♦ 0 0 24 | 0 0 0 0 0 96 | 0 0 0 0 0 0 0 32 64 | 0 0 0 0 0 0 0 16 8 | * * * * 1
© 2004-2024 | top of page |