Acronym | icoahin |
Name |
ico atop hin, 1/6-lune of mo |
Circumradius | 1 |
Lace city in approx. ASCII-art |
I E O where: I = o3x3o *b3o (ico) E = o3o3x *b3o (hex) O = o3o3o *b3x (alt. hex) |
Volume | 13 sqrt(3)/160 = 0.140729 |
Face vector | 40, 272, 592, 528, 195, 27 |
Confer |
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Incidence matrix according to Dynkin symbol
ooo3xoo3oxo *b3oox&#x → height(1,2) = height(1,3) = height(2,3) = 1/sqrt(2) = 0.707107 height(1,23) = height(2,13) = height(3,12) = sqrt(3/8) = 0.612372 (ico || hin) (ico || hin) o..3o..3o.. *b3o.. | 24 * | 8 4 0 0 | 4 8 16 2 4 0 0 | 4 2 8 8 8 8 4 0 0 0 0 | 1 4 4 4 4 8 1 0 0 0 | 2 4 2 0 .o.3.o.3.o. *b3.o. & | * 16 | 0 6 6 4 | 0 0 12 6 12 12 18 | 0 0 4 12 4 12 18 4 4 16 6 | 0 4 1 4 4 16 6 1 5 4 | 1 5 4 1 ------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+--------- ... x.. ... ... | 2 0 | 96 * * * | 1 2 2 0 0 0 0 | 2 1 2 2 2 1 0 0 0 0 0 | 1 2 2 2 1 2 0 0 0 0 | 2 2 1 0 oo.3oo.3oo. *b3oo.&#x & | 1 1 | * 96 * * | 0 0 4 1 2 0 0 | 0 0 2 4 2 4 3 0 0 0 0 | 0 2 1 2 2 6 1 0 0 0 | 1 3 2 0 ... ... .x. ... & | 0 2 | * * 48 * | 0 0 0 1 0 4 2 | 0 0 0 4 0 0 2 2 2 4 1 | 0 2 0 2 0 4 1 1 2 2 | 1 2 2 1 .oo3.oo3.oo *b3.oo&#x | 0 2 | * * * 32 | 0 0 0 0 3 0 6 | 0 0 0 0 0 3 6 0 0 6 3 | 0 0 0 0 1 6 3 0 2 3 | 0 2 3 1 ------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+--------- o..3x.. ... ... | 3 0 | 3 0 0 0 | 32 * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 | 1 2 2 0 1 0 0 0 0 0 | 2 2 0 0 ... x..3o.. ... & | 3 0 | 3 0 0 0 | * 64 * * * * * | 1 1 0 1 1 0 0 0 0 0 0 | 1 1 1 2 0 1 0 0 0 0 | 2 1 1 0 ... xo. ... ...&#x & | 2 1 | 1 2 0 0 | * * 192 * * * * | 0 0 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 2 0 0 0 0 | 1 2 1 0 ... ... ox. ...&#x & | 1 2 | 0 2 1 0 | * * * 48 * * * | 0 0 0 4 0 0 2 0 0 0 0 | 0 2 0 2 0 4 1 0 0 0 | 1 2 2 0 ooo3ooo3ooo *b3ooo&#x | 1 2 | 0 2 0 1 | * * * * 96 * * | 0 0 0 0 0 2 2 0 0 0 0 | 0 0 0 0 1 4 1 0 0 0 | 0 2 2 0 ... .o.3.x. ... & | 0 3 | 0 0 3 0 | * * * * * 64 * | 0 0 0 1 0 0 0 1 1 1 0 | 0 1 0 1 0 1 0 1 1 1 | 1 1 1 1 ... ... .xo ...&#x & | 0 3 | 0 0 1 2 | * * * * * * 96 | 0 0 0 0 0 0 1 0 0 2 1 | 0 0 0 0 0 2 1 0 1 2 | 0 1 2 1 ------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+--------- o..3x..3o.. ... & ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 | 16 * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 2 1 0 0 ... x..3o.. *b3o.. ♦ 6 0 | 12 0 0 0 | 0 8 0 0 0 0 0 | * 8 * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 | 2 0 1 0 oo.3xo. ... ...&#x ♦ 3 1 | 3 3 0 0 | 1 0 3 0 0 0 0 | * * 64 * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 | 1 2 0 0 ... xo.3ox. ...&#x & ♦ 3 3 | 3 6 3 0 | 0 1 3 3 0 1 0 | * * * 64 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 1 1 0 ... xo. ... *b3oo.&#x & ♦ 3 1 | 3 3 0 0 | 0 1 3 0 0 0 0 | * * * * 64 * * * * * * | 0 0 1 1 0 1 0 0 0 0 | 1 1 1 0 ... xoo ... ...&#x ♦ 2 2 | 1 4 0 1 | 0 0 2 0 2 0 0 | * * * * * 96 * * * * * | 0 0 0 0 1 2 0 0 0 0 | 0 2 1 0 ... ... oxo ...&#x & ♦ 1 3 | 0 3 1 2 | 0 0 0 1 2 0 1 | * * * * * * 96 * * * * | 0 0 0 0 0 2 1 0 0 0 | 0 1 2 0 .o.3.o.3.x. ... & ♦ 0 4 | 0 0 6 0 | 0 0 0 0 0 4 0 | * * * * * * * 16 * * * | 0 1 0 0 0 0 0 1 1 0 | 1 1 0 1 ... .o.3.x. *b3.o. & ♦ 0 4 | 0 0 6 0 | 0 0 0 0 0 4 0 | * * * * * * * * 16 * * | 0 0 0 1 0 0 0 1 0 1 | 1 0 1 1 ... .oo3.xo ...&#x & ♦ 0 4 | 0 0 3 3 | 0 0 0 0 0 1 3 | * * * * * * * * * 64 * | 0 0 0 0 0 1 0 0 1 1 | 0 1 1 1 ... ... .xo .ox&#x ♦ 0 4 | 0 0 2 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * 24 | 0 0 0 0 0 0 1 0 0 2 | 0 0 2 1 ------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+--------- o..3x..3o.. *b3o.. ♦ 24 0 | 96 0 0 0 | 32 64 0 0 0 0 0 | 16 8 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 2 0 0 0 oo.3xo.3ox. ...&#x & ♦ 6 4 | 12 12 6 0 | 4 4 12 6 0 4 0 | 1 0 4 4 0 0 0 1 0 0 0 | * 16 * * * * * * * * | 1 1 0 0 oo.3xo. ... *b3oo.&#x & ♦ 6 1 | 12 6 0 0 | 4 4 12 0 0 0 0 | 1 0 4 0 4 0 0 0 0 0 0 | * * 16 * * * * * * * | 1 1 0 0 ... xo.3ox. *b3oo.&#x & ♦ 6 4 | 12 12 6 0 | 0 8 12 6 0 4 0 | 0 1 0 4 4 0 0 0 1 0 0 | * * * 16 * * * * * * | 1 0 1 0 ooo3xoo ... ...&#x ♦ 3 2 | 3 6 0 1 | 1 0 6 0 3 0 0 | 0 0 2 0 0 3 0 0 0 0 0 | * * * * 32 * * * * * | 0 2 0 0 ... xoo3oxo ...&#x & ♦ 3 4 | 3 9 3 3 | 0 1 6 3 6 1 3 | 0 0 0 1 1 3 3 0 0 1 0 | * * * * * 64 * * * * | 0 1 1 0 ... ... oxo oox&#x ♦ 1 4 | 0 4 2 4 | 0 0 0 2 4 0 4 | 0 0 0 0 0 0 4 0 0 0 1 | * * * * * * 24 * * * | 0 0 2 0 .o.3.o.3.x. *b3.o. & ♦ 0 8 | 0 0 24 0 | 0 0 0 0 0 32 0 | 0 0 0 0 0 0 0 8 8 0 0 | * * * * * * * 2 * * | 1 0 0 1 .oo3.oo3.xo ...&#x & ♦ 0 5 | 0 0 6 4 | 0 0 0 0 0 4 6 | 0 0 0 0 0 0 0 1 0 4 0 | * * * * * * * * 16 * | 0 1 0 1 ... .oo3.xo *b3.ox&#x ♦ 0 8 | 0 0 12 12 | 0 0 0 0 0 8 24 | 0 0 0 0 0 0 0 0 2 8 6 | * * * * * * * * * 8 | 0 0 1 1 ------------------------+-------+-------------+-----------------------+---------------------------------+----------------------------+--------- oo.3xo.3ox. *b3oo.&#x & ♦ 24 8 | 96 48 24 0 | 32 64 96 24 0 32 0 | 16 8 32 32 32 0 0 8 8 0 0 | 1 8 8 8 0 0 0 1 0 0 | 2 * * * ooo3xoo3oxo ...&#x & ♦ 6 5 | 12 18 6 4 | 4 4 24 6 12 4 6 | 1 0 8 4 4 12 6 1 0 4 0 | 0 1 1 0 4 4 0 0 1 0 | * 16 * * ... xoo3oxo *b3oox&#x ♦ 6 8 | 12 24 12 12 | 0 8 24 12 24 8 24 | 0 1 0 8 8 12 24 0 2 8 6 | 0 0 0 2 0 8 6 0 0 1 | * * 8 * .oo3.oo3.xo *b3.ox&#x ♦ 0 16 | 0 0 48 32 | 0 0 0 0 0 64 96 | 0 0 0 0 0 0 0 16 16 64 24 | 0 0 0 0 0 0 0 2 16 8 | * * * 1
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