Acronym | jakapy (alt.: pabdinaqpy) |
Name |
icosiheptaheptacontidipetic-alterprism pyramid, parabidimished-hecatonicosihexapentacosiheptacontihexaexon pyramid, (jak, alt. jak, point)-trigonic |
Circumradius | 1 |
Lace city in approx. ASCII-art |
o where: o = o3o3o3o3o *c3o (point) J J = x3o3o3o3o *c3o (jak) j j = o3o3o3o3x *c3o (alt. jak) |
Face vector | 55, 756, 4302, 12240, 18576, 14742, 5366, 561 |
Confer |
|
Incidence matrix according to Dynkin symbol
xoo3ooo3ooo3ooo3oxo *c3ooo&#x → all pw. heights = 1/sqrt(3) = 0.577350 height(12,3) = 1/2 o..3o..3o..3o..3o.. *c3o.. & | 54 * ♦ 16 10 1 | 80 120 10 16 | 160 320 160 120 80 | 80 40 400 400 320 160 160 | 16 10 96 240 96 80 400 400 80 40 | 1 16 11 56 96 240 96 80 16 10 | 1 16 11 56 1 ..o3..o3..o3..o3..o *c3..o | * 1 ♦ 0 0 54 | 0 0 270 432 | 0 0 0 2160 1440 | 0 0 0 0 4320 2160 2160 | 0 0 0 0 0 0 4320 4320 864 432 | 0 0 0 0 864 2160 864 720 144 54 | 0 72 54 432 2 --------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+-------------- x.. ... ... ... ... ... & | 2 0 | 432 * * ♦ 10 5 0 1 | 30 30 10 5 10 | 20 10 60 40 30 10 30 | 5 5 20 35 20 10 60 40 20 10 | 1 5 5 11 20 35 20 10 5 5 | 1 5 5 11 1 oo.3oo.3oo.3oo.3oo. *c3oo.&#x | 2 0 | * 270 * ♦ 0 16 1 0 | 0 48 32 16 0 | 0 0 64 96 48 32 0 | 0 0 16 64 16 24 64 96 0 0 | 0 8 2 16 16 64 16 24 0 0 | 1 8 2 16 0 o.o3o.o3o.o3o.o3o.o *c3o.o&#x & | 1 1 | * * 54 ♦ 0 0 10 16 | 0 0 0 120 80 | 0 0 0 0 320 160 160 | 0 0 0 0 0 0 400 400 80 40 | 0 0 0 0 96 240 96 80 16 10 | 0 16 11 56 1 --------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+-------------- x..3o.. ... ... ... ... & | 3 0 | 3 0 0 | 1440 * * * | 6 3 0 0 1 | 6 3 12 3 3 0 6 | 2 3 6 6 6 1 12 3 6 3 | 1 2 3 3 6 6 6 1 2 3 | 1 2 3 3 3 xo. ... ... ... ... ...&#x & | 3 0 | 1 2 0 | * 2160 * * ♦ 0 6 4 1 0 | 0 0 12 18 6 4 0 | 0 0 4 16 4 6 12 18 0 0 | 0 4 1 5 4 16 4 6 0 0 | 1 4 1 5 0 ooo3ooo3ooo3ooo3ooo *c3ooo&#x | 2 1 | 0 1 2 | * * 270 * ♦ 0 0 0 16 0 | 0 0 0 0 48 32 0 | 0 0 0 0 0 0 64 96 0 0 | 0 0 0 0 16 64 16 24 0 0 | 0 8 2 16 0 x.o ... ... ... ... ...&#x & | 2 1 | 1 0 2 | * * * 432 ♦ 0 0 0 5 10 | 0 0 0 0 30 10 30 | 0 0 0 0 0 0 60 40 20 10 | 0 0 0 0 20 35 20 10 5 5 | 0 5 5 11 1 --------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+-------------- x..3o..3o.. ... ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 | 2160 * * * * | 2 1 2 0 0 0 1 | 1 2 2 1 2 0 2 0 2 1 | 1 1 2 1 2 1 2 0 1 2 | 1 1 2 1 1 xo.3oo. ... ... ... ...&#x & ♦ 4 0 | 3 3 0 | 1 3 0 0 | * 4320 * * * | 0 0 4 2 1 0 0 | 0 0 2 4 2 1 4 2 0 0 | 0 2 1 2 2 4 2 1 0 0 | 1 2 1 2 0 xo. ... ... ... ox. ...&#x ♦ 4 0 | 2 4 0 | 0 4 0 0 | * * 2160 * * ♦ 0 0 0 6 0 1 0 | 0 0 0 6 0 3 0 6 0 0 | 0 3 0 2 0 6 0 3 0 0 | 1 3 0 2 0 xoo ... ... ... ... ...&#x & ♦ 3 1 | 1 2 3 | 0 1 2 1 | * * * 2160 * ♦ 0 0 0 0 6 4 0 | 0 0 0 0 0 0 12 18 0 0 | 0 0 0 0 4 16 4 6 0 0 | 0 4 1 5 0 x.o3o.o ... ... ... ...&#x & ♦ 3 1 | 3 0 3 | 1 0 0 3 | * * * * 1440 ♦ 0 0 0 0 3 0 6 | 0 0 0 0 0 0 12 3 6 3 | 0 0 0 0 6 6 6 1 2 3 | 0 2 3 3 1 --------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+-------------- x..3o..3o..3o.. ... ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | 864 * * * * * * | 1 1 1 0 0 0 0 0 1 0 | 1 1 1 0 1 0 0 0 1 1 | 1 1 1 0 1 x..3o..3o.. ... ... *c3o.. & ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | * 432 * * * * * | 0 2 0 0 2 0 0 0 0 1 | 1 0 2 1 0 0 2 0 0 2 | 1 0 2 1 1 xo.3oo.3oo. ... ... ...&#x & ♦ 5 0 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 | * * 4320 * * * * | 0 0 1 1 1 0 1 0 0 0 | 0 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0 xo.3oo. ... ... ox. ...&#x & ♦ 5 0 | 4 6 0 | 1 9 0 0 | 0 2 3 0 0 | * * * 4320 * * * | 0 0 0 2 0 1 0 1 0 0 | 0 2 0 1 0 2 0 1 0 0 | 1 2 0 1 0 xoo3ooo ... ... ... ...&#x & ♦ 4 1 | 3 3 4 | 1 3 3 3 | 0 1 0 3 1 | * * * * 4320 * * | 0 0 0 0 0 0 4 2 0 0 | 0 0 0 0 2 4 2 1 0 0 | 0 2 1 2 0 xoo ... ... ... oxo ...&#x & ♦ 4 1 | 2 4 4 | 0 4 4 2 | 0 0 1 4 0 | * * * * * 2160 * ♦ 0 0 0 0 0 0 0 6 0 0 | 0 0 0 0 0 6 0 3 0 0 | 0 3 0 2 0 x.o3o.o3o.o ... ... ...&#x & ♦ 4 1 | 6 0 4 | 4 0 0 6 | 1 0 0 0 4 | * * * * * * 2160 | 0 0 0 0 0 0 2 0 2 1 | 0 0 0 0 2 1 2 0 1 2 | 0 1 2 1 1 --------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+-------------- x..3o..3o..3o..3o.. ... & ♦ 6 0 | 15 0 0 | 20 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 0 0 | 144 * * * * * * * * * | 1 1 0 0 0 0 0 0 1 0 | 1 1 0 0 1 x..3o..3o..3o.. ... *c3o.. & ♦ 10 0 | 40 0 0 | 80 0 0 0 | 80 0 0 0 0 | 16 16 0 0 0 0 0 | * 54 * * * * * * * * | 1 0 1 0 0 0 0 0 0 1 | 1 0 1 0 1 xo.3oo.3oo.3oo. ... ...&#x & ♦ 6 0 | 10 5 0 | 10 10 0 0 | 5 10 0 0 0 | 1 0 5 0 0 0 0 | * * 864 * * * * * * * | 0 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 xo.3oo.3oo. ... ox. ...&#x & ♦ 6 0 | 7 8 0 | 4 16 0 0 | 1 8 6 0 0 | 0 0 2 4 0 0 0 | * * * 2160 * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 1 0 1 0 xo.3oo.3oo. ... ... *c3oo.&#x & ♦ 6 0 | 10 5 0 | 10 10 0 0 | 5 10 0 0 0 | 0 1 5 0 0 0 0 | * * * * 864 * * * * * | 0 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0 xo.3oo. ... oo.3ox. ...&#x ♦ 6 0 | 6 9 0 | 2 18 0 0 | 0 6 9 0 0 | 0 0 0 6 0 0 0 | * * * * * 720 * * * * | 0 2 0 0 0 0 0 1 0 0 | 1 2 0 0 0 xoo3ooo3ooo ... ... ...&#x & ♦ 5 1 | 6 4 5 | 4 6 4 6 | 1 4 0 6 4 | 0 0 1 0 4 0 1 | * * * * * * 4320 * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 xoo3ooo ... ... oxo ...&#x & ♦ 5 1 | 4 6 5 | 1 9 6 4 | 0 2 3 9 1 | 0 0 0 1 2 3 0 | * * * * * * * 4320 * * | 0 0 0 0 0 2 0 1 0 0 | 0 2 0 1 0 x.o3o.o3o.o3o.o ... ...&#x & ♦ 5 1 | 10 0 5 | 10 0 0 10 | 5 0 0 0 10 | 1 0 0 0 0 0 5 | * * * * * * * * 864 * | 0 0 0 0 1 0 0 0 1 1 | 0 1 1 0 1 x.o3o.o3o.o ... ... *c3o.o&#x & ♦ 5 1 | 10 0 5 | 10 0 0 10 | 5 0 0 0 10 | 0 1 0 0 0 0 5 | * * * * * * * * * 432 | 0 0 0 0 0 0 2 0 0 2 | 0 0 2 1 1 --------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+-------------- x..3o..3o..3o..3o.. *c3o.. & ♦ 27 0 | 216 0 0 | 720 0 0 0 | 1080 0 0 0 0 | 432 216 0 0 0 0 0 | 72 27 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * | 1 0 0 0 1 xo.3oo.3oo.3oo.3ox. ...&#x ♦ 12 0 | 30 30 0 | 40 120 0 0 | 30 120 90 0 0 | 12 0 60 120 0 0 0 | 2 0 12 30 0 20 0 0 0 0 | * 72 * * * * * * * * | 1 1 0 0 0 xo.3oo.3oo.3oo. ... *c3oo.&#x & ♦ 11 0 | 40 10 0 | 80 40 0 0 | 80 80 0 0 0 | 16 16 80 0 0 0 0 | 0 1 16 0 16 0 0 0 0 0 | * * 54 * * * * * * * | 1 0 1 0 0 xo.3oo.3oo. ... ox. *c3oo.&#x & ♦ 7 0 | 11 10 0 | 10 25 0 0 | 5 20 10 0 0 | 0 1 10 10 0 0 0 | 0 0 0 5 2 0 0 0 0 0 | * * * 432 * * * * * * | 1 0 0 1 0 xoo3ooo3ooo3ooo ... ...&#x & ♦ 6 1 | 10 5 6 | 10 10 5 10 | 5 10 0 10 10 | 1 0 5 0 10 0 5 | 0 0 1 0 0 0 5 0 1 0 | * * * * 864 * * * * * | 0 1 1 0 0 xoo3ooo3ooo ... oxo ...&#x & ♦ 6 1 | 7 8 6 | 4 16 8 7 | 1 8 6 16 4 | 0 0 2 4 8 6 1 | 0 0 0 1 0 0 2 4 0 0 | * * * * * 2160 * * * * | 0 1 0 1 0 xoo3ooo3ooo ... ... *c3ooo&#x & ♦ 6 1 | 10 5 6 | 10 10 5 10 | 5 10 0 10 10 | 0 1 5 0 10 0 5 | 0 0 0 0 1 0 5 0 0 1 | * * * * * * 864 * * * | 0 0 1 1 0 xoo3ooo ... ooo3oxo ...&#x ♦ 6 1 | 6 9 6 | 2 18 9 6 | 0 6 9 18 2 | 0 0 0 6 6 9 0 | 0 0 0 0 0 1 0 6 0 0 | * * * * * * * 720 * * | 0 2 0 0 0 x.o3o.o3o.o3o.o3o.o ...&#x & ♦ 6 1 | 15 0 6 | 20 0 0 15 | 15 0 0 0 20 | 6 0 0 0 0 0 15 | 1 0 0 0 0 0 0 0 6 0 | * * * * * * * * 144 * | 0 1 0 0 1 x.o3o.o3o.o3o.o ... *c3o.o&#x & ♦ 10 1 | 40 0 10 | 80 0 0 40 | 80 0 0 0 80 | 16 16 0 0 0 0 80 | 0 1 0 0 0 0 0 0 16 16 | * * * * * * * * * 54 | 0 0 1 0 1 --------------------------------+------+------------+-------------------+--------------------------+----------------------------------+-------------------------------------------+-------------------------------------+-------------- xo.3oo.3oo.3oo.3ox. *c3oo.&#x ♦ 54 0 | 432 270 0 | 1440 2160 0 0 | 2160 4320 2160 0 0 | 864 432 4320 4320 0 0 0 | 144 54 864 2160 864 720 0 0 0 0 | 2 72 54 432 0 0 0 0 0 0 | 1 * * * * xoo3ooo3ooo3ooo3oxo ...&#x ♦ 12 1 | 30 30 12 | 40 120 30 30 | 30 120 90 120 40 | 12 0 60 120 120 90 30 | 2 0 12 30 0 20 60 120 12 0 | 0 1 0 0 12 30 0 20 2 0 | * 72 * * * xoo3ooo3ooo3ooo ... *c3ooo&#x & ♦ 11 1 | 40 10 11 | 80 40 10 40 | 80 80 0 40 80 | 16 16 80 0 80 0 80 | 0 1 16 0 16 0 80 0 16 16 | 0 0 1 0 16 0 16 0 0 1 | * * 54 * * xoo3ooo3ooo ... oxo *c3ooo&#x & ♦ 7 1 | 11 10 7 | 10 25 10 11 | 5 20 10 25 10 | 0 1 10 10 20 10 5 | 0 0 0 5 2 0 10 10 0 1 | 0 0 0 1 0 5 2 0 0 0 | * * * 432 * x.o3o.o3o.o3o.o3o.o *c3o.o&#x & ♦ 27 1 | 216 0 27 | 720 0 0 216 | 1080 0 0 0 720 | 432 216 0 0 0 0 1080 | 72 27 0 0 0 0 0 0 432 216 | 1 0 0 0 0 0 0 0 72 27 | * * * * 2
© 2004-2024 | top of page |