Acronym | dijakpy |
Name |
diminished-icosiheptaheptacontidipetic pyramid, (hin, tac, point)-trigonic |
Circumradius | sqrt(3)/2 = 0.866025 |
Lace city in approx. ASCII-art |
o where: o = o3o3o *b3o3o (point) t h = x3o3o *b3o3o (hin) h t = o3o3o *b3o3x (tac) |
Face vector | 27, 226, 840, 1560, 1458, 622, 85 |
Confer |
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Incidence matrix according to Dynkin symbol
oxo3ooo3ooo3xoo *c3ooo&#x → height(1,2) = height(1,3) = sqrt(3/8) = 0.612372 height(2,3) = height = 1/sqrt(2) = 0.707107 height(12,3) = 1/sqrt(3) = 0.577350 o..3o..3o..3o.. *c3o.. | 16 * * ♦ 10 5 1 0 0 | 30 10 30 5 10 0 0 | 20 10 10 30 60 10 30 30 0 0 | 5 5 5 10 30 20 20 10 30 60 20 10 0 0 0 | 1 5 1 10 5 5 10 30 20 20 5 5 0 0 0 | 1 5 1 10 5 1 0 .o.3.o.3.o.3.o. *c3.o. | * 10 * ♦ 0 8 0 8 1 | 0 32 24 8 0 24 8 | 0 0 48 48 32 32 24 0 32 24 | 0 0 32 24 32 8 8 48 48 32 0 0 8 8 32 | 0 8 8 8 1 32 24 32 8 8 0 0 1 8 8 | 1 8 8 8 1 0 1 ..o3..o3..o3..o *c3..o | * * 1 ♦ 0 0 16 0 10 | 0 0 0 80 80 80 40 | 0 0 0 0 0 160 240 160 0 80 | 0 0 0 0 0 0 0 160 240 320 80 40 0 0 80 | 0 0 0 0 0 80 80 160 80 80 16 10 0 16 16 | 0 16 16 40 10 1 1 --------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------ ... ... ... x.. ... | 2 0 0 | 80 * * * * | 6 0 3 0 1 0 0 | 6 3 0 3 12 0 3 6 0 0 | 2 3 0 1 6 6 6 0 3 12 6 3 0 0 0 | 1 2 0 3 3 0 1 6 6 6 2 3 0 0 0 | 1 2 0 3 3 1 0 oo.3oo.3oo.3oo. *c3oo.&#x | 1 1 0 | * 80 * * * ♦ 0 4 6 1 0 0 0 | 0 0 6 12 12 4 6 0 0 0 | 0 0 4 6 12 4 4 6 12 12 0 0 0 0 0 | 0 4 1 4 1 4 6 12 4 4 0 0 0 0 0 | 1 4 1 4 1 0 0 o.o3o.o3o.o3o.o *c3o.o&#x | 1 0 1 | * * 16 * * ♦ 0 0 0 5 10 0 0 | 0 0 0 0 0 10 30 30 0 0 | 0 0 0 0 0 0 0 10 30 60 20 10 0 0 0 | 0 0 0 0 0 5 10 30 20 20 5 5 0 0 0 | 0 5 1 10 5 1 0 .x. ... ... ... ... | 0 2 0 | * * * 40 * ♦ 0 4 0 0 0 6 1 | 0 0 12 6 0 4 0 0 12 6 | 0 0 12 6 4 0 0 12 6 0 0 0 4 4 12 | 0 4 4 1 0 12 6 4 0 0 0 0 1 4 4 | 1 4 4 1 0 0 1 .oo3.oo3.oo3.oo *c3.oo&#x | 0 1 1 | * * * * 10 ♦ 0 0 0 8 0 0 8 | 0 0 0 0 0 32 24 0 0 24 | 0 0 0 0 0 0 0 48 48 32 0 0 0 0 32 | 0 0 0 0 0 32 24 32 8 8 0 0 0 8 8 | 0 8 8 8 1 0 1 --------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------ ... ... o..3x.. ... | 3 0 0 | 3 0 0 0 0 | 160 * * * * * * | 2 1 0 0 2 0 0 1 0 0 | 1 2 0 0 1 2 2 0 0 2 2 1 0 0 0 | 1 1 0 1 2 0 0 1 2 2 1 2 0 0 0 | 1 1 0 1 2 1 0 ox. ... ... ... ...&#x | 1 2 0 | 0 2 0 1 0 | * 160 * * * * * | 0 0 3 3 0 1 0 0 0 0 | 0 0 3 3 3 0 0 3 3 0 0 0 0 0 0 | 0 3 1 1 0 3 3 3 0 0 0 0 0 0 0 | 1 3 1 1 0 0 0 ... ... ... xo. ...&#x | 2 1 0 | 1 2 0 0 0 | * * 240 * * * * | 0 0 0 2 4 0 1 0 0 0 | 0 0 0 1 4 2 2 0 2 4 0 0 0 0 0 | 0 2 0 2 1 0 1 4 2 2 0 0 0 0 0 | 1 2 0 2 1 0 0 ooo3ooo3ooo3ooo *c3ooo&#x | 1 1 1 | 0 1 1 0 1 | * * * 80 * * * ♦ 0 0 0 0 0 4 6 0 0 0 | 0 0 0 0 0 0 0 6 12 12 0 0 0 0 0 | 0 0 0 0 0 4 6 12 4 4 0 0 0 0 0 | 0 4 1 4 1 0 0 ... ... ... x.o ...&#x | 2 0 1 | 1 0 2 0 0 | * * * * 80 * * ♦ 0 0 0 0 0 0 3 6 0 0 | 0 0 0 0 0 0 0 0 3 12 6 3 0 0 0 | 0 0 0 0 0 0 1 6 6 6 2 3 0 0 0 | 0 2 0 3 3 1 0 .x.3.o. ... ... ... | 0 3 0 | 0 0 0 3 0 | * * * * * 80 * | 0 0 2 0 0 0 0 0 4 1 | 0 0 4 1 0 0 0 2 0 0 0 0 2 2 4 | 0 2 2 0 0 4 1 0 0 0 0 0 1 2 2 | 1 2 2 0 0 0 1 .xo ... ... ... ...&#x | 0 2 1 | 0 0 0 1 2 | * * * * * * 40 ♦ 0 0 0 0 0 4 0 0 0 6 | 0 0 0 0 0 0 0 12 6 0 0 0 0 0 12 | 0 0 0 0 0 12 6 4 0 0 0 0 0 4 4 | 0 4 4 1 0 0 1 --------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------ ... o..3o..3x.. ... ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 | 80 * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 | 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 | 1 1 0 0 1 1 0 ... ... o..3x.. *c3o.. ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 | * 40 * * * * * * * * | 0 2 0 0 0 0 2 0 0 0 0 1 0 0 0 | 1 0 0 1 2 0 0 0 0 2 0 2 0 0 0 | 1 0 0 1 2 1 0 ox.3oo. ... ... ...&#x ♦ 1 3 0 | 0 3 0 3 0 | 0 3 0 0 0 1 0 | * * 160 * * * * * * * | 0 0 2 1 0 0 0 1 0 0 0 0 0 0 0 | 0 2 1 0 0 2 1 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 ox. ... ... xo. ...&#x ♦ 2 2 0 | 1 4 0 1 0 | 0 2 2 0 0 0 0 | * * * 240 * * * * * * | 0 0 0 1 2 0 0 0 1 0 0 0 0 0 0 | 0 2 0 1 0 0 1 2 0 0 0 0 0 0 0 | 1 2 0 1 0 0 0 ... ... oo.3xo. ...&#x ♦ 3 1 0 | 3 3 0 0 0 | 1 0 3 0 0 0 0 | * * * * 320 * * * * * | 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 | 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 | 1 1 0 1 1 0 0 oxo ... ... ... ...&#x ♦ 1 2 1 | 0 2 1 1 2 | 0 1 0 2 0 0 1 | * * * * * 160 * * * * ♦ 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 | 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 | 0 3 1 1 0 0 0 ... ... ... xoo ...&#x ♦ 2 1 1 | 1 2 2 0 1 | 0 0 1 2 1 0 0 | * * * * * * 240 * * * | 0 0 0 0 0 0 0 0 2 4 0 0 0 0 0 | 0 0 0 0 0 0 1 4 2 2 0 0 0 0 0 | 0 2 0 2 1 0 0 ... ... o.o3x.o ...&#x ♦ 3 0 1 | 3 0 3 0 0 | 1 0 0 0 3 0 0 | * * * * * * * 160 * * | 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 | 0 0 0 0 0 0 0 1 2 2 1 2 0 0 0 | 0 1 0 1 2 1 0 .x.3.o.3.o. ... ... ♦ 0 4 0 | 0 0 0 6 0 | 0 0 0 0 0 4 0 | * * * * * * * * 80 * | 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 | 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 | 1 1 1 0 0 0 1 .xo3.oo ... ... ...&#x ♦ 0 3 1 | 0 0 0 3 3 | 0 0 0 0 0 1 3 | * * * * * * * * * 80 ♦ 0 0 0 0 0 0 0 2 0 0 0 0 0 0 4 | 0 0 0 0 0 4 1 0 0 0 0 0 0 2 2 | 0 2 2 0 0 0 1 --------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------ o..3o..3o..3x.. ... ♦ 5 0 0 | 10 0 0 0 0 | 10 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1 1 0 0 0 1 0 ... o..3o..3x.. *c3o.. ♦ 8 0 0 | 24 0 0 0 0 | 32 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 | 1 0 0 0 1 1 0 ox.3oo.3oo. ... ...&#x ♦ 1 4 0 | 0 4 0 6 0 | 0 6 0 0 0 4 0 | 0 0 4 0 0 0 0 0 1 0 | * * 80 * * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 ox.3oo. ... xo. ...&#x ♦ 2 3 0 | 1 6 0 3 0 | 0 6 3 0 0 1 0 | 0 0 2 3 0 0 0 0 0 0 | * * * 80 * * * * * * * * * * * | 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 ox. ... oo.3xo. ...&#x ♦ 3 2 0 | 3 6 0 1 0 | 1 3 6 0 0 0 0 | 0 0 0 3 2 0 0 0 0 0 | * * * * 160 * * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 ... oo.3oo.3xo. ...&#x ♦ 4 1 0 | 6 4 0 0 0 | 4 0 6 0 0 0 0 | 1 0 0 0 4 0 0 0 0 0 | * * * * * 80 * * * * * * * * * | 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0 0 ... ... oo.3xo. *c3oo.&#x ♦ 4 1 0 | 6 4 0 0 0 | 4 0 6 0 0 0 0 | 0 1 0 0 4 0 0 0 0 0 | * * * * * * 80 * * * * * * * * | 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 0 oxo3ooo ... ... ...&#x ♦ 1 3 1 | 0 3 1 3 3 | 0 3 0 3 0 1 3 | 0 0 1 0 0 3 0 0 0 1 | * * * * * * * 160 * * * * * * * | 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0 oxo ... ... xoo ...&#x ♦ 2 2 1 | 1 4 2 1 2 | 0 2 2 4 1 0 1 | 0 0 0 1 0 2 2 0 0 0 | * * * * * * * * 240 * * * * * * | 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 | 0 2 0 1 0 0 0 ... ... ooo3xoo ...&#x ♦ 3 1 1 | 3 3 3 0 1 | 1 0 3 3 3 0 0 | 0 0 0 0 1 0 3 1 0 0 | * * * * * * * * * 320 * * * * * | 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 1 0 1 1 0 0 ... o.o3o.o3x.o ...&#x ♦ 4 0 1 | 6 0 4 0 0 | 4 0 0 0 6 0 0 | 1 0 0 0 0 0 0 4 0 0 | * * * * * * * * * * 80 * * * * | 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 | 0 1 0 0 1 1 0 ... ... o.o3x.o *c3o.o&#x ♦ 4 0 1 | 6 0 4 0 0 | 4 0 0 0 6 0 0 | 0 1 0 0 0 0 0 4 0 0 | * * * * * * * * * * * 40 * * * | 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 | 0 0 0 1 2 1 0 .x.3.o.3.o.3.o. ... ♦ 0 5 0 | 0 0 0 10 0 | 0 0 0 0 0 10 0 | 0 0 0 0 0 0 0 0 5 0 | * * * * * * * * * * * * 16 * * | 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 | 1 1 0 0 0 0 1 .x.3.o.3.o. ... *c3.o. ♦ 0 5 0 | 0 0 0 10 0 | 0 0 0 0 0 10 0 | 0 0 0 0 0 0 0 0 5 0 | * * * * * * * * * * * * * 16 * | 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 | 1 0 1 0 0 0 1 .xo3.oo3.oo ... ...&#x ♦ 0 4 1 | 0 0 0 6 4 | 0 0 0 0 0 4 6 | 0 0 0 0 0 0 0 0 1 4 | * * * * * * * * * * * * * * 80 | 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 | 0 1 1 0 0 0 1 --------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------ o..3o..3o..3x.. *c3o.. ♦ 16 0 0 | 80 0 0 0 0 | 160 0 0 0 0 0 0 | 80 40 0 0 0 0 0 0 0 0 | 16 10 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 0 0 1 0 ox.3oo.3oo.3xo. ...&#x ♦ 5 5 0 | 10 20 0 10 0 | 10 30 30 0 0 10 0 | 5 0 20 30 20 0 0 0 5 0 | 1 0 5 10 10 5 0 0 0 0 0 0 1 0 0 | * 16 * * * * * * * * * * * * * | 1 1 0 0 0 0 0 ox.3oo.3oo. ... *c3oo.&#x ♦ 1 5 0 | 0 5 0 10 0 | 0 10 0 0 0 10 0 | 0 0 10 0 0 0 0 0 5 0 | 0 0 5 0 0 0 0 0 0 0 0 0 0 1 0 | * * 16 * * * * * * * * * * * * | 1 0 1 0 0 0 0 ox. ... oo.3xo. *c3oo.&#x ♦ 4 2 0 | 6 8 0 1 0 | 4 4 12 0 0 0 0 | 0 1 0 6 8 0 0 0 0 0 | 0 0 0 0 4 0 2 0 0 0 0 0 0 0 0 | * * * 40 * * * * * * * * * * * | 1 0 0 1 0 0 0 ... oo.3oo.3xo. *c3oo.&#x ♦ 8 1 0 | 24 8 0 0 0 | 32 0 24 0 0 0 0 | 8 8 0 0 32 0 0 0 0 0 | 0 1 0 0 0 8 8 0 0 0 0 0 0 0 0 | * * * * 10 * * * * * * * * * * | 1 0 0 0 1 0 0 oxo3ooo3ooo ... ...&#x ♦ 1 4 1 | 0 4 1 6 4 | 0 6 0 4 0 4 6 | 0 0 4 0 0 6 0 0 1 4 | 0 0 1 0 0 0 0 4 0 0 0 0 0 0 1 | * * * * * 80 * * * * * * * * * | 0 1 1 0 0 0 0 oxo3ooo ... xoo ...&#x ♦ 2 3 1 | 1 6 2 3 3 | 0 6 3 6 1 1 3 | 0 0 2 3 0 6 3 0 0 1 | 0 0 0 1 0 0 0 2 3 0 0 0 0 0 0 | * * * * * * 80 * * * * * * * * | 0 2 0 0 0 0 0 oxo ... ooo3xoo ...&#x ♦ 3 2 1 | 3 6 3 1 2 | 1 3 6 6 3 0 1 | 0 0 0 3 2 3 6 1 0 0 | 0 0 0 0 1 0 0 0 3 2 0 0 0 0 0 | * * * * * * * 160 * * * * * * * | 0 1 0 1 0 0 0 ... ooo3ooo3xoo ...&#x ♦ 4 1 1 | 6 4 4 0 1 | 4 0 6 4 6 0 0 | 1 0 0 0 4 0 6 4 0 0 | 0 0 0 0 0 1 0 0 0 4 1 0 0 0 0 | * * * * * * * * 80 * * * * * * | 0 1 0 0 1 0 0 ... ... ooo3xoo *c3ooo&#x ♦ 4 1 1 | 6 4 4 0 1 | 4 0 6 4 6 0 0 | 0 1 0 0 4 0 6 4 0 0 | 0 0 0 0 0 0 1 0 0 4 0 1 0 0 0 | * * * * * * * * * 80 * * * * * | 0 0 0 1 1 0 0 o.o3o.o3o.o3x.o ...&#x ♦ 5 0 1 | 10 0 5 0 0 | 10 0 0 0 10 0 0 | 5 0 0 0 0 0 0 10 0 0 | 1 0 0 0 0 0 0 0 0 0 5 0 0 0 0 | * * * * * * * * * * 16 * * * * | 0 1 0 0 0 1 0 ... o.o3o.o3x.o *c3o.o&#x ♦ 8 0 1 | 24 0 8 0 0 | 32 0 0 0 24 0 0 | 8 8 0 0 0 0 0 32 0 0 | 0 1 0 0 0 0 0 0 0 0 8 8 0 0 0 | * * * * * * * * * * * 10 * * * | 0 0 0 0 1 1 0 .x.3.o.3.o.3.o. *c3.o. ♦ 0 10 0 | 0 0 0 40 0 | 0 0 0 0 0 80 0 | 0 0 0 0 0 0 0 0 80 0 | 0 0 0 0 0 0 0 0 0 0 0 0 16 16 0 | * * * * * * * * * * * * 1 * * | 1 0 0 0 0 0 1 .xo3.oo3.oo3.oo ...&#x ♦ 0 5 1 | 0 0 0 10 5 | 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 5 10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 5 | * * * * * * * * * * * * * 16 * | 0 1 0 0 0 0 1 .xo3.oo3.oo ... *c3.oo&#x ♦ 0 5 1 | 0 0 0 10 5 | 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 5 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 | * * * * * * * * * * * * * * 16 | 0 0 1 0 0 0 1 --------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------ ox.3oo.3oo.3xo. *c3oo.&#x ♦ 16 10 0 | 80 80 0 40 0 | 160 160 240 0 0 80 0 | 80 40 160 240 320 0 0 0 80 0 | 16 10 80 80 160 80 80 0 0 0 0 0 16 16 0 | 1 16 16 40 10 0 0 0 0 0 0 0 1 0 0 | 1 * * * * * * oxo3ooo3ooo3xoo ...&#x ♦ 5 5 1 | 10 20 5 10 5 | 10 30 30 20 10 10 10 | 5 0 20 30 20 30 30 10 5 10 | 1 0 5 10 10 5 0 20 30 20 5 0 1 0 5 | 0 1 0 0 0 5 10 10 5 0 1 0 0 1 0 | * 16 * * * * * oxo3ooo3ooo ... *c3ooo&#x ♦ 1 5 1 | 0 5 1 10 5 | 0 10 0 5 0 10 10 | 0 0 10 0 0 10 0 0 5 10 | 0 0 5 0 0 0 0 10 0 0 0 0 0 1 5 | 0 0 1 0 0 5 0 0 0 0 0 0 0 0 1 | * * 16 * * * * oxo ... ooo3xoo *c3ooo&#x ♦ 4 2 1 | 6 8 4 1 2 | 4 4 12 8 6 0 1 | 0 1 0 6 8 4 12 4 0 0 | 0 0 0 0 4 0 2 0 6 8 0 1 0 0 0 | 0 0 0 1 0 0 0 4 0 2 0 0 0 0 0 | * * * 40 * * * ... ooo3ooo3xoo *c3ooo&#x ♦ 8 1 1 | 24 8 8 0 1 | 32 0 24 8 24 0 0 | 8 8 0 0 32 0 24 32 0 0 | 0 1 0 0 0 8 8 0 0 32 8 8 0 0 0 | 0 0 0 0 1 0 0 0 8 8 0 1 0 0 0 | * * * * 10 * * o.o3o.o3o.o3x.o *c3o.o&#x ♦ 16 0 1 | 80 0 16 0 0 | 160 0 0 0 80 0 0 | 80 40 0 0 0 0 0 160 0 0 | 16 10 0 0 0 0 0 0 0 0 80 40 0 0 0 | 1 0 0 0 0 0 0 0 0 0 16 10 0 0 0 | * * * * * 1 * .xo3.oo3.oo3.oo *c3.oo&#x ♦ 0 10 1 | 0 0 0 40 10 | 0 0 0 0 0 80 40 | 0 0 0 0 0 0 0 0 80 80 | 0 0 0 0 0 0 0 0 0 0 0 0 16 16 80 | 0 0 0 0 0 0 0 0 0 0 0 0 1 16 16 | * * * * * * 1
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