Acronym | squadinit |
Name | square-diminished nit |
Circumradius | sqrt(3/2) = 1.224745 |
Lace city in approx. ASCII-art |
o3x4o o3x4o o3o4q o3x4o -- o3o3x4o (rit) o3x4o _ \_ +-- x o3x4o (cope) |
Face vector | 56, 240, 344, 200, 42 |
Confer |
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Incidence matrix according to Dynkin symbol
oo3ox4qo ox4oo&#zx → heights = 0 (tegum sum of q-cube and squaco) o.3o.4o. o.4o. | 8 * | 12 0 0 | 12 12 0 0 0 | 4 12 3 0 0 0 | 4 3 0 .o3.o4.o .o4.o | * 48 | 2 4 2 | 4 4 2 2 8 | 2 8 1 1 4 4 | 4 2 2 -------------------+------+----------+----------------+------------------+------- oo3oo4oo oo4oo&#x | 1 1 | 96 * * | 2 2 0 0 0 | 1 4 1 0 0 0 | 2 2 0 .. .x .. .. .. | 0 2 | * 96 * | 1 0 1 1 2 | 1 2 0 1 2 2 | 2 1 2 .. .. .. .x .. | 0 2 | * * 48 | 0 2 0 0 4 | 0 4 1 0 2 2 | 2 2 1 -------------------+------+----------+----------------+------------------+------- .. ox .. .. ..&#x | 1 2 | 2 1 0 | 96 * * * * | 1 2 0 0 0 0 | 2 1 0 .. .. .. ox ..&#x | 1 2 | 2 0 1 | * 96 * * * | 0 2 1 0 0 0 | 1 2 0 .o3.x .. .. .. | 0 3 | 0 3 0 | * * 32 * * | 1 0 0 1 2 0 | 2 0 2 .. .x4.o .. .. | 0 4 | 0 4 0 | * * * 24 * | 0 0 0 1 0 2 | 0 1 2 .. .x .. .x .. | 0 4 | 0 2 2 | * * * * 96 | 0 1 0 0 1 1 | 1 1 1 -------------------+------+----------+----------------+------------------+------- oo3ox .. .. ..&#x ♦ 1 3 | 3 3 0 | 3 0 1 0 0 | 32 * * * * * | 2 0 0 .. ox .. ox ..&#x ♦ 1 4 | 4 2 2 | 2 2 0 0 1 | * 96 * * * * | 1 1 0 .. .. qo ox4oo&#zx ♦ 2 4 | 8 0 4 | 0 8 0 0 0 | * * 12 * * * | 0 2 0 .o3.x4.o .. .. ♦ 0 12 | 0 24 0 | 0 0 8 6 0 | * * * 4 * * | 0 0 2 .o3.x .. .x .. ♦ 0 6 | 0 6 3 | 0 0 2 0 3 | * * * * 32 * | 1 0 1 .. .x4.o .x .. ♦ 0 8 | 0 8 4 | 0 0 0 2 4 | * * * * * 24 | 0 1 1 -------------------+------+----------+----------------+------------------+------- oo3ox .. ox ..&#x ♦ 1 6 | 6 6 3 | 6 3 2 0 3 | 2 3 0 0 1 0 | 32 * * .. ox4qo ox4oo&#zx ♦ 4 16 | 32 16 16 | 16 32 0 4 16 | 0 16 4 0 0 4 | * 6 * .o3.x4.o .x .. ♦ 0 24 | 0 48 12 | 0 0 16 12 24 | 0 0 0 2 8 6 | * * 4
xox ooo3xox4oqo&#xt → both heights = 1/2 (cope || pseudo q-cube || cope) o.. o..3o..4o.. & | 48 * | 1 4 2 1 | 4 2 2 2 4 2 4 | 2 2 1 4 2 1 4 2 2 | 1 2 2 2 1 .o. .o.3.o.4.o. | * 8 | 0 0 12 0 | 0 0 0 6 12 6 0 | 0 0 0 6 4 3 6 0 0 | 0 2 3 2 0 ----------------------+------+-------------+----------------------+---------------------------+------------ x.. ... ... ... & | 2 0 | 24 * * * | 4 0 0 2 0 0 0 | 2 2 0 4 0 1 0 0 0 | 1 2 2 0 0 ... ... x.. ... & | 2 0 | * 96 * * | 1 1 1 0 1 0 1 | 1 1 1 1 1 0 1 1 1 | 1 1 1 1 1 oo. oo.3oo.4oo.&#x & | 1 1 | * * 96 * | 0 0 0 1 2 1 0 | 0 0 0 2 1 1 2 0 0 | 0 1 2 1 0 o.o o.o3o.o4o.o&#x | 2 0 | * * * 24 | 0 0 0 0 0 2 4 | 0 0 0 0 0 1 4 2 2 | 0 0 2 2 1 ----------------------+------+-------------+----------------------+---------------------------+------------ x.. ... x.. ... & | 4 0 | 2 2 0 0 | 48 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 ... o..3x.. ... & | 3 0 | 0 3 0 0 | * 32 * * * * * | 1 0 1 0 1 0 0 1 0 | 1 1 0 1 1 ... ... x..4o.. & | 4 0 | 0 4 0 0 | * * 24 * * * * | 0 1 1 0 0 0 0 0 1 | 1 0 1 0 1 xo. ... ... ...&#x & | 2 1 | 1 0 2 0 | * * * 48 * * * | 0 0 0 2 0 1 0 0 0 | 0 1 2 0 0 ... ... xo. ...&#x & | 2 1 | 0 1 2 0 | * * * * 96 * * | 0 0 0 1 1 0 1 0 0 | 0 1 1 1 0 ooo ooo3ooo4ooo&#x | 2 1 | 0 0 2 1 | * * * * * 48 * | 0 0 0 0 0 1 2 0 0 | 0 0 2 1 0 ... ... x.x ...&#x | 4 0 | 0 2 0 2 | * * * * * * 48 | 0 0 0 0 0 0 1 1 1 | 0 0 1 1 1 ----------------------+------+-------------+----------------------+---------------------------+------------ x.. o..3x.. ... & ♦ 6 0 | 3 6 0 0 | 3 2 0 0 0 0 0 | 16 * * * * * * * * | 1 1 0 0 0 x.. ... x..4o.. & ♦ 8 0 | 4 8 0 0 | 4 0 2 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 0 ... o..3x..4o.. & ♦ 12 0 | 0 24 0 0 | 0 8 6 0 0 0 0 | * * 4 * * * * * * | 1 0 0 0 1 xo. ... xo. ...&#x & ♦ 4 1 | 2 2 4 0 | 1 0 0 2 2 0 0 | * * * 48 * * * * * | 0 1 1 0 0 ... oo.3xo. ...&#x & ♦ 3 1 | 0 3 3 0 | 0 1 0 0 3 0 0 | * * * * 32 * * * * | 0 1 0 1 0 xox ... ... oqo&#xt ♦ 4 2 | 2 0 8 2 | 0 0 0 4 0 4 0 | * * * * * 12 * * * | 0 0 2 0 0 ... ... xox ...&#xt ♦ 4 1 | 0 2 4 2 | 0 0 0 0 2 2 1 | * * * * * * 48 * * | 0 0 1 1 0 ... o.o3x.x ...&#x ♦ 6 0 | 0 6 0 3 | 0 2 0 0 0 0 3 | * * * * * * * 16 * | 0 0 0 1 1 ... ... x.x4o.o&#x ♦ 8 0 | 0 8 0 4 | 0 0 2 0 0 0 4 | * * * * * * * * 12 | 0 0 1 0 1 ----------------------+------+-------------+----------------------+---------------------------+------------ x.. o..3x..4o.. & ♦ 24 0 | 12 48 0 0 | 24 16 12 0 0 0 0 | 8 6 2 0 0 0 0 0 0 | 2 * * * * xo. oo.3xo. ...&#x & ♦ 6 1 | 3 6 6 0 | 3 2 0 3 6 0 0 | 1 0 0 3 2 0 0 0 0 | * 16 * * * xox ... xox4oqo&#xt ♦ 16 4 | 8 16 32 8 | 8 0 4 16 16 16 8 | 0 2 0 8 0 4 8 0 2 | * * 6 * * ... ooo3xox ...&#x ♦ 6 1 | 0 6 6 3 | 0 2 0 0 6 3 3 | 0 0 0 0 2 0 3 1 0 | * * * 16 * ... o.o3x.x4o.o&#x ♦ 24 0 | 0 48 0 12 | 0 16 12 0 0 0 24 | 0 0 2 0 0 0 0 8 6 | * * * * 2
o3x4o || ooo3xox4oqo&#xt || o3x4o → both heights = 1/sqrt(2) = 0.707107 (co || pseudo rit || co) o3o3o ... ... ... . . . & | 24 * * | 4 2 2 0 0 | 2 2 8 4 4 0 0 0 | 1 4 4 8 1 2 0 0 | 2 4 2 . . . o..3o..3o.. . . . & | * 24 * | 0 2 0 4 2 | 0 0 8 4 0 2 2 4 | 0 4 4 8 1 0 1 2 | 2 4 2 . . . .o.3.o.3.o. . . . | * * 8 | 0 0 6 0 6 | 0 0 0 12 6 0 0 6 | 0 0 0 12 3 2 0 2 | 0 4 3 -----------------------------------+---------+----------------+-------------------------+-----------------------+------- . x . ... ... ... . . . & | 2 0 0 | 48 * * * * | 1 1 2 0 1 0 0 0 | 1 2 2 2 0 1 0 0 | 2 2 1 o3o3o || o..3o..3o.. . . . & | 1 1 0 | * 48 * * * | 0 0 4 2 0 0 0 0 | 0 2 2 4 1 0 0 0 | 1 2 2 o3o3o || .o.3.o.3.o. . . . & | 1 0 1 | * * 48 * * | 0 0 0 2 2 0 0 0 | 0 0 0 4 1 1 0 0 | 0 2 2 . . . ... x.. ... . . . & | 0 2 0 | * * * 48 * | 0 0 2 0 0 1 1 1 | 0 2 2 2 0 0 1 1 | 2 2 1 . . . oo.3oo.3oo.&#x . . . & | 0 1 1 | * * * * 48 | 0 0 0 2 0 0 0 2 | 0 0 0 4 1 0 0 1 | 0 2 2 -----------------------------------+---------+----------------+-------------------------+-----------------------+------- o3x . ... ... ... . . . & | 3 0 0 | 3 0 0 0 0 | 16 * * * * * * * | 1 2 0 0 0 1 0 0 | 2 2 0 . x4o ... ... ... . . . & | 4 0 0 | 4 0 0 0 0 | * 12 * * * * * * | 1 0 2 0 0 0 0 0 | 2 0 1 . x . || ... x.. ... . . . & | 2 2 0 | 1 2 0 1 0 | * * 96 * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 o3o3o || oo.3oo.3oo.&#x . . . & | 1 1 1 | 0 1 1 0 1 | * * * 96 * * * * | 0 0 0 2 1 0 0 0 | 0 1 2 . x . || .o.3.o.3.o. . . . & | 2 0 1 | 1 0 2 0 0 | * * * * 48 * * * | 0 0 0 2 0 1 0 0 | 0 2 1 . . . o..3x.. ... . . . & | 0 3 0 | 0 0 0 3 0 | * * * * * 16 * * | 0 2 0 0 0 0 1 1 | 2 2 0 . . . ... x..4o.. . . . & | 0 4 0 | 0 0 0 4 0 | * * * * * * 12 * | 0 0 2 0 0 0 1 0 | 2 0 1 . . . ... xo. ...&#x . . . & | 0 2 1 | 0 0 0 1 2 | * * * * * * * 48 | 0 0 0 2 0 0 0 1 | 0 2 1 -----------------------------------+---------+----------------+-------------------------+-----------------------+------- o3x4o ... ... ... . . . & ♦ 12 0 0 | 24 0 0 0 0 | 8 6 0 0 0 0 0 0 | 2 * * * * * * * | 2 0 0 o3x . || o..3x.. ... . . . & ♦ 3 3 0 | 3 3 0 3 0 | 1 0 3 0 0 1 0 0 | * 32 * * * * * * | 1 1 0 . x4o || ... x..4o.. . . . & ♦ 4 4 0 | 4 4 0 4 0 | 0 1 4 0 0 0 1 0 | * * 24 * * * * * | 1 0 1 . x . || ... xo. ...&#x . . . & ♦ 2 2 1 | 1 2 2 1 2 | 0 0 1 2 1 0 0 1 | * * * 96 * * * * | 0 1 1 o3o3o || ... ... oqo&#xt || o3o3o ♦ 2 2 2 | 0 4 4 0 4 | 0 0 0 8 0 0 0 0 | * * * * 12 * * * | 0 0 2 o3x . || .o.3.o. ... . . . & ♦ 3 0 1 | 3 0 3 0 0 | 1 0 0 0 3 0 0 0 | * * * * * 16 * * | 0 2 0 . . . o..3x..4o.. . . . & ♦ 0 12 0 | 0 0 0 24 0 | 0 0 0 0 0 8 6 0 | * * * * * * 2 * | 2 0 0 . . . oo.3xo. ...&#x . . . & ♦ 0 3 1 | 0 0 0 3 3 | 0 0 0 0 0 1 0 3 | * * * * * * * 16 | 0 2 0 -----------------------------------+---------+----------------+-------------------------+-----------------------+------- o3x4o || o..3x..4o.. . . . & ♦ 12 12 0 | 24 12 0 24 0 | 8 6 24 0 0 8 6 0 | 1 8 6 0 0 0 1 0 | 4 * * o3x . || oo.3xo. ...&#x . . . & ♦ 3 3 1 | 3 3 3 3 3 | 1 0 3 3 3 1 0 3 | 0 1 0 3 0 1 0 1 | * 32 * . x4o || ... xox4oqo&#xt || . x4o ♦ 8 8 4 | 8 16 16 8 16 | 0 2 16 32 8 0 2 8 | 0 0 4 16 4 0 0 0 | * * 6
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