Acronym | fe |
Name |
tetradecapeton, tritruncated heptapeton, equatorial cross-section of (vertex first) q-hept |
Circumradius | sqrt(3) = 1.732051 |
Inradius | sqrt(7/12) = 0.763763 |
Lace city in approx. ASCII-art |
o3o3x3x o3o3u3o o3x3x3o o3o3u3o o3u3o3o o3x3x3o o3u3o3o x3x3o3o |
Volume | 5887 sqrt(7)/1440 = 10.816346 |
Surface | 5887 sqrt(3)/120 = 84.971526 |
Dihedral angles
(at margins) | |
Dual | bife |
Face vector | 140, 420, 490, 280, 84, 14 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3o3x3x3o3o . . . . . . | 140 | 3 3 | 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 ------------+-----+---------+-------------+---------------+----------+---- . . x . . . | 2 | 210 * | 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . x . . | 2 | * 210 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------+-----+---------+-------------+---------------+----------+---- . o3x . . . | 3 | 3 0 | 140 * * | 1 3 0 0 | 3 3 0 | 3 1 . . x3x . . | 6 | 3 3 | * 210 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 0 3 | * * 140 | 0 0 3 1 | 0 3 3 | 1 3 ------------+-----+---------+-------------+---------------+----------+---- o3o3x . . . ♦ 4 | 6 0 | 4 0 0 | 35 * * * | 3 0 0 | 3 0 . o3x3x . . ♦ 12 | 12 6 | 4 4 0 | * 105 * * | 1 2 0 | 2 1 . . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * * 105 * | 0 2 1 | 1 2 . . . x3o3o ♦ 4 | 0 6 | 0 0 4 | * * * 35 | 0 0 3 | 0 3 ------------+-----+---------+-------------+---------------+----------+---- o3o3x3x . . ♦ 20 | 30 10 | 20 10 0 | 5 5 0 0 | 21 * * | 2 0 . o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 0 5 5 0 | * 42 * | 1 1 . . x3x3o3o ♦ 20 | 10 30 | 0 10 20 | 0 0 5 5 | * * 21 | 0 2 ------------+-----+---------+-------------+---------------+----------+---- o3o3x3x3o . ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 6 6 0 | 7 * . o3x3x3o3o ♦ 60 | 60 90 | 20 60 60 | 0 15 30 15 | 0 6 6 | * 7
or . . . . . . | 140 | 6 | 6 9 | 2 18 | 6 9 | 6 ---------------+-----+-----+---------+--------+-------+--- . . x . . . & | 2 | 420 | 2 3 | 1 9 | 4 6 | 5 ---------------+-----+-----+---------+--------+-------+--- . o3x . . . & | 3 | 3 | 280 * | 1 3 | 3 3 | 4 . . x3x . . | 6 | 6 | * 210 | 0 4 | 2 4 | 4 ---------------+-----+-----+---------+--------+-------+--- o3o3x . . . & ♦ 4 | 6 | 4 0 | 70 * | 3 0 | 3 . o3x3x . . & ♦ 12 | 18 | 4 4 | * 210 | 1 2 | 3 ---------------+-----+-----+---------+--------+-------+--- o3o3x3x . . & ♦ 20 | 40 | 20 10 | 5 5 | 42 * | 2 . o3x3x3o . ♦ 30 | 60 | 20 20 | 0 10 | * 42 | 2 ---------------+-----+-----+---------+--------+-------+--- o3o3x3x3o . & ♦ 60 | 150 | 80 60 | 15 45 | 6 6 | 14
ooo3xoo3xux3oox3ooo&#xt → both heights = sqrt(7/12) = 0.763763 (bittix || pseudo u-dot || inv bittix) o..3o..3o..3o..3o.. | 60 * * | 2 3 1 0 0 0 | 1 6 3 2 3 0 0 0 0 | 3 6 1 1 6 3 0 0 0 0 | 3 2 3 6 1 0 0 | 1 3 2 0 .o.3.o.3.o.3.o.3.o. | * 20 * | 0 0 3 3 0 0 | 0 0 0 3 9 3 0 0 0 | 0 0 0 1 9 9 1 0 0 0 | 0 0 3 9 3 0 0 | 0 3 3 0 ..o3..o3..o3..o3..o | * * 60 | 0 0 0 1 3 2 | 0 0 0 0 3 2 3 6 1 | 0 0 0 0 3 6 1 1 6 3 | 0 0 1 6 3 2 3 | 0 2 3 1 ------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+-------- ... x.. ... ... ... | 2 0 0 | 60 * * * * * | 1 3 0 1 0 0 0 0 0 | 3 3 0 1 3 0 0 0 0 0 | 3 1 3 3 0 0 0 | 1 3 1 0 ... ... x.. ... ... | 2 0 0 | * 90 * * * * | 0 2 2 0 1 0 0 0 0 | 1 4 1 0 2 2 0 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0 oo.3oo.3oo.3oo.3oo.&#x | 1 1 0 | * * 60 * * * | 0 0 0 2 3 0 0 0 0 | 0 0 0 1 6 3 0 0 0 0 | 0 0 3 6 1 0 0 | 0 3 2 0 .oo3.oo3.oo3.oo3.oo&#x | 0 1 1 | * * * 60 * * | 0 0 0 0 3 2 0 0 0 | 0 0 0 0 3 6 1 0 0 0 | 0 0 1 6 3 0 0 | 0 2 3 0 ... ... ..x ... ... | 0 0 2 | * * * * 90 * | 0 0 0 0 1 0 2 2 0 | 0 0 0 0 2 2 0 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1 ... ... ... ..x ... | 0 0 2 | * * * * * 60 | 0 0 0 0 0 1 0 3 1 | 0 0 0 0 0 3 1 0 3 3 | 0 0 0 3 3 1 3 | 0 1 3 1 ------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+-------- o..3x.. ... ... ... | 3 0 0 | 3 0 0 0 0 0 | 20 * * * * * * * * | 3 0 0 1 0 0 0 0 0 0 | 3 0 3 0 0 0 0 | 1 3 0 0 ... x..3x.. ... ... | 6 0 0 | 3 3 0 0 0 0 | * 60 * * * * * * * | 1 2 0 0 1 0 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0 ... ... x..3o.. ... | 3 0 0 | 0 3 0 0 0 0 | * * 60 * * * * * * | 0 2 1 0 0 1 0 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0 ... xo. ... ... ...&#x | 2 1 0 | 1 0 2 0 0 0 | * * * 60 * * * * * | 0 0 0 1 3 0 0 0 0 0 | 0 0 3 3 0 0 0 | 0 3 1 0 ... ... xux ... ...&#xt | 2 2 2 | 0 1 2 2 1 0 | * * * * 90 * * * * | 0 0 0 0 2 2 0 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0 ... ... ... .ox ...&#x | 0 1 2 | 0 0 0 2 0 1 | * * * * * 60 * * * | 0 0 0 0 0 3 1 0 0 0 | 0 0 0 3 3 0 0 | 0 1 3 0 ... ..o3..x ... ... | 0 0 3 | 0 0 0 0 3 0 | * * * * * * 60 * * | 0 0 0 0 1 0 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1 ... ... ..x3..x ... | 0 0 6 | 0 0 0 0 3 3 | * * * * * * * 60 * | 0 0 0 0 0 1 0 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1 ... ... ... ..x3..o | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 20 | 0 0 0 0 0 0 1 0 0 3 | 0 0 0 0 3 0 3 | 0 0 3 1 ------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+-------- o..3x..3x.. ... ... ♦ 12 0 0 | 12 6 0 0 0 0 | 4 4 0 0 0 0 0 0 0 | 15 * * * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0 ... x..3x..3o.. ... ♦ 12 0 0 | 6 12 0 0 0 0 | 0 4 4 0 0 0 0 0 0 | * 30 * * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0 ... ... x..3o..3o.. ♦ 4 0 0 | 0 6 0 0 0 0 | 0 0 4 0 0 0 0 0 0 | * * 15 * * * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0 oo.3xo. ... ... ...&#x ♦ 3 1 0 | 3 0 3 0 0 0 | 1 0 0 3 0 0 0 0 0 | * * * 20 * * * * * * | 0 0 3 0 0 0 0 | 0 3 0 0 ... xoo3xux ... ...&#xt ♦ 6 3 3 | 3 3 6 3 3 0 | 0 1 0 3 3 0 1 0 0 | * * * * 60 * * * * * | 0 0 1 2 0 0 0 | 0 2 1 0 ... ... xux3oox ...&#xt ♦ 3 3 6 | 0 3 3 6 3 3 | 0 0 1 0 3 3 0 1 0 | * * * * * 60 * * * * | 0 0 0 2 1 0 0 | 0 1 2 0 ... ... ... .ox3.oo&#x ♦ 0 1 3 | 0 0 0 3 0 3 | 0 0 0 0 0 3 0 0 1 | * * * * * * 20 * * * | 0 0 0 0 3 0 0 | 0 0 3 0 ..o3..o3..x ... ... ♦ 0 0 4 | 0 0 0 0 6 0 | 0 0 0 0 0 0 4 0 0 | * * * * * * * 15 * * | 0 0 1 0 0 2 0 | 0 2 0 1 ... ..o3..x3..x ... ♦ 0 0 12 | 0 0 0 0 12 6 | 0 0 0 0 0 0 4 4 0 | * * * * * * * * 30 * | 0 0 0 1 0 1 1 | 0 1 1 1 ... ... ..x3..x3..o ♦ 0 0 12 | 0 0 0 0 6 12 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * 15 | 0 0 0 0 1 0 2 | 0 0 2 1 ------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+-------- o..3x..3x..3o.. ... ♦ 30 0 0 | 30 30 0 0 0 0 | 10 20 10 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 | 6 * * * * * * | 1 1 0 0 ... x..3x..3o..3o.. ♦ 20 0 0 | 10 30 0 0 0 0 | 0 10 20 0 0 0 0 0 0 | 0 5 5 0 0 0 0 0 0 0 | * 6 * * * * * | 1 0 1 0 ooo3xoo3xux ... ...&#xt ♦ 12 4 4 | 12 6 12 4 6 0 | 4 4 0 12 6 0 4 0 0 | 1 0 0 4 4 0 0 1 0 0 | * * 15 * * * * | 0 2 0 0 ... xoo3xux3oox ...&#xt ♦ 12 6 12 | 6 12 12 12 12 6 | 0 4 4 6 12 6 4 4 0 | 0 1 0 0 4 4 0 0 1 0 | * * * 30 * * * | 0 1 1 0 ... ... xux3oox3ooo&#xt ♦ 4 4 12 | 0 6 4 12 6 12 | 0 0 4 0 6 12 0 4 4 | 0 0 1 0 0 4 4 0 0 1 | * * * * 15 * * | 0 0 2 0 ..o3..o3..x3..x ... ♦ 0 0 20 | 0 0 0 0 30 10 | 0 0 0 0 0 0 20 10 0 | 0 0 0 0 0 0 0 5 5 0 | * * * * * 6 * | 0 1 0 1 ... ..o3..x3..x3..o ♦ 0 0 30 | 0 0 0 0 30 30 | 0 0 0 0 0 0 10 20 10 | 0 0 0 0 0 0 0 0 5 5 | * * * * * * 6 | 0 0 1 1 ------------------------+----------+-------------------+----------------------------+-------------------------------+------------------+-------- o..3x..3x..3o..3o.. ♦ 60 0 0 | 60 90 0 0 0 0 | 20 60 60 0 0 0 0 0 0 | 15 30 15 0 0 0 0 0 0 0 | 6 6 0 0 0 0 0 | 1 * * * ooo3xoo3xux3oox ...&#xt ♦ 30 10 20 | 30 30 30 20 30 10 | 10 20 10 30 30 10 20 10 0 | 5 5 0 10 20 10 0 5 5 0 | 1 0 5 5 0 1 0 | * 6 * * ... xoo3xux3oox3ooo&#xt ♦ 20 10 30 | 10 30 20 30 30 30 | 0 10 20 10 30 30 10 20 10 | 0 5 5 0 10 20 10 0 5 5 | 0 1 0 5 5 0 1 | * * 6 * ..o3..o3..x3..x3..o ♦ 0 0 60 | 0 0 0 0 90 60 | 0 0 0 0 0 0 60 60 20 | 0 0 0 0 0 0 0 15 30 15 | 0 0 0 0 0 6 6 | * * * 1
or o..3o..3o..3o..3o.. & | 120 * | 2 3 1 | 1 6 3 2 3 | 3 6 1 1 9 | 3 2 4 6 | 1 5 .o.3.o.3.o.3.o.3.o. | * 20 | 0 0 6 | 0 0 0 6 9 | 0 0 0 2 18 | 0 0 6 9 | 0 6 --------------------------+--------+-------------+-------------------+-----------------+-------------+----- ... x.. ... ... ... & | 2 0 | 120 * * | 1 3 0 1 0 | 3 3 0 1 3 | 3 1 3 3 | 1 4 ... ... x.. ... ... & | 2 0 | * 180 * | 0 2 2 0 1 | 1 4 1 0 4 | 2 2 2 4 | 1 4 oo.3oo.3oo.3oo.3oo.&#x & | 1 1 | * * 120 | 0 0 0 2 3 | 0 0 0 1 9 | 0 0 4 6 | 0 5 --------------------------+--------+-------------+-------------------+-----------------+-------------+----- o..3x.. ... ... ... & | 3 0 | 3 0 0 | 40 * * * * | 3 0 0 1 0 | 3 0 3 0 | 1 3 ... x..3x.. ... ... & | 6 0 | 3 3 0 | * 120 * * * | 1 2 0 0 1 | 2 1 1 2 | 1 3 ... ... x..3o.. ... & | 3 0 | 0 3 0 | * * 120 * * | 0 2 1 0 1 | 1 2 1 2 | 1 3 ... xo. ... ... ...&#x & | 2 1 | 1 0 2 | * * * 120 * | 0 0 0 1 3 | 0 0 3 3 | 0 4 ... ... xux ... ...&#xt | 4 2 | 0 2 4 | * * * * 90 | 0 0 0 0 4 | 0 0 2 4 | 0 4 --------------------------+--------+-------------+-------------------+-----------------+-------------+----- o..3x..3x.. ... ... & ♦ 12 0 | 12 6 0 | 4 4 0 0 0 | 30 * * * * | 2 0 1 0 | 1 2 ... x..3x..3o.. ... & ♦ 12 0 | 6 12 0 | 0 4 4 0 0 | * 60 * * * | 1 1 0 1 | 1 2 ... ... x..3o..3o.. & ♦ 4 0 | 0 6 0 | 0 0 4 0 0 | * * 30 * * | 0 2 1 0 | 1 2 oo.3xo. ... ... ...&#x & ♦ 3 1 | 3 0 3 | 1 0 0 3 0 | * * * 40 * | 0 0 3 0 | 0 3 ... xoo3xux ... ...&#xt & ♦ 9 3 | 3 6 9 | 0 1 1 3 3 | * * * * 120 | 0 0 1 2 | 0 3 --------------------------+--------+-------------+-------------------+-----------------+-------------+----- o..3x..3x..3o.. ... & ♦ 30 0 | 30 30 0 | 10 20 10 0 0 | 5 5 0 0 0 | 12 * * * | 1 1 ... x..3x..3o..3o.. & ♦ 20 0 | 10 30 0 | 0 10 20 0 0 | 0 5 5 0 0 | * 12 * * | 1 1 ooo3xoo3xux ... ...&#xt & ♦ 16 4 | 12 12 16 | 4 4 4 12 6 | 1 0 1 4 4 | * * 30 * | 0 2 ... xoo3xux3oox ...&#xt ♦ 24 6 | 12 24 24 | 0 8 8 12 12 | 0 2 0 0 8 | * * * 30 | 0 2 --------------------------+--------+-------------+-------------------+-----------------+-------------+----- o..3x..3x..3o..3o.. & ♦ 60 0 | 60 90 0 | 20 60 60 0 0 | 15 30 15 0 0 | 6 6 0 0 | 2 * ooo3xoo3xux3oox ...&#xt & ♦ 50 10 | 40 60 50 | 10 30 30 40 30 | 5 10 5 10 30 | 1 1 5 5 | * 12
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