Acronym | bittix (old: dittox) |
Name | bitruncated hexateron |
Field of sections |
© |
Circumradius | sqrt(29/12) = 1.554563 |
Inradius wrt. tip | 7/sqrt(60) = 0.903696 |
Inradius wrt. deca | sqrt(5/12) = 0.645497 |
Vertex figure |
© © |
Lace city in approx. ASCII-art |
o3o3x o3o3u o3x3x -- o3o3x3x (tip) o3o3u o3u3o -- o3o3u3o (u-rap) o3x3x o3u3o x3x3o -- o3x3x3o (deca) |
Volume | 841 sqrt(3)/240 = 6.069395 |
Surface | 153 sqrt(5)/8 = 42.764800 |
Dihedral angles
(at margins) | |
Face vector | 60, 150, 140, 60, 12 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
o3x3x3o3o . . . . . | 60 | 2 3 | 1 6 3 | 3 6 1 | 3 2 ----------+----+-------+----------+----------+---- . x . . . | 2 | 60 * | 1 3 0 | 3 3 0 | 3 1 . . x . . | 2 | * 90 | 0 2 2 | 1 4 1 | 2 2 ----------+----+-------+----------+----------+---- o3x . . . | 3 | 3 0 | 20 * * | 3 0 0 | 3 0 . x3x . . | 6 | 3 3 | * 60 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 60 | 0 2 1 | 1 2 ----------+----+-------+----------+----------+---- o3x3x . . ♦ 12 | 12 6 | 4 4 0 | 15 * * | 2 0 . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * 30 * | 1 1 . . x3o3o ♦ 4 | 0 6 | 0 0 4 | * * 15 | 0 2 ----------+----+-------+----------+----------+---- o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 5 5 0 | 6 * . x3x3o3o ♦ 20 | 10 30 | 0 10 20 | 0 5 5 | * 6
o3/2x3x3o3o . . . . . | 60 | 2 3 | 1 6 3 | 3 6 1 | 3 2 ------------+----+-------+----------+----------+---- . x . . . | 2 | 60 * | 1 3 0 | 3 3 0 | 3 1 . . x . . | 2 | * 90 | 0 2 2 | 1 4 1 | 2 2 ------------+----+-------+----------+----------+---- o3/2x . . . | 3 | 3 0 | 20 * * | 3 0 0 | 3 0 . x3x . . | 6 | 3 3 | * 60 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 60 | 0 2 1 | 1 2 ------------+----+-------+----------+----------+---- o3/2x3x . . ♦ 12 | 12 6 | 4 4 0 | 15 * * | 2 0 . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * 30 * | 1 1 . . x3o3o ♦ 4 | 0 6 | 0 0 4 | * * 15 | 0 2 ------------+----+-------+----------+----------+---- o3/2x3x3o . ♦ 30 | 30 30 | 10 20 10 | 5 5 0 | 6 * . x3x3o3o ♦ 20 | 10 30 | 0 10 20 | 0 5 5 | * 6
o3x3x3o3/2o . . . . . | 60 | 2 3 | 1 6 3 | 3 6 1 | 3 2 ------------+----+-------+----------+----------+---- . x . . . | 2 | 60 * | 1 3 0 | 3 3 0 | 3 1 . . x . . | 2 | * 90 | 0 2 2 | 1 4 1 | 2 2 ------------+----+-------+----------+----------+---- o3x . . . | 3 | 3 0 | 20 * * | 3 0 0 | 3 0 . x3x . . | 6 | 3 3 | * 60 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 60 | 0 2 1 | 1 2 ------------+----+-------+----------+----------+---- o3x3x . . ♦ 12 | 12 6 | 4 4 0 | 15 * * | 2 0 . x3x3o . ♦ 12 | 6 12 | 0 4 4 | * 30 * | 1 1 . . x3o3/2o ♦ 4 | 0 6 | 0 0 4 | * * 15 | 0 2 ------------+----+-------+----------+----------+---- o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 5 5 0 | 6 * . x3x3o3/2o ♦ 20 | 10 30 | 0 10 20 | 0 5 5 | * 6
oox3xux3xoo3ooo&#xt → both heights = sqrt(3/5) = 0.774597 (deca || pseudo u-rap || tip) o..3o..3o..3o.. | 30 * * | 2 2 1 0 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 1 4 0 0 | 1 2 2 0 .o.3.o.3.o.3.o. | * 10 * | 0 0 3 2 0 0 | 0 0 0 3 6 1 0 0 | 0 0 1 3 6 0 0 | 0 3 2 0 ..o3..o3..o3..o | * * 20 | 0 0 0 1 1 3 | 0 0 0 0 3 1 3 3 | 0 0 0 3 3 3 1 | 0 3 1 1 --------------------+----------+-------------------+-------------------------+------------------+-------- ... x.. ... ... | 2 0 0 | 30 * * * * * | 1 2 0 0 1 0 0 0 | 2 1 0 1 2 0 0 | 1 2 1 0 ... ... x.. ... | 2 0 0 | * 30 * * * * | 0 2 1 1 0 0 0 0 | 1 2 1 0 2 0 0 | 1 1 2 0 oo.3oo.3oo.3oo.&#x | 1 1 0 | * * 30 * * * | 0 0 0 2 2 0 0 0 | 0 0 1 1 4 0 0 | 0 2 2 0 .oo3.oo3.oo3.oo&#x | 0 1 1 | * * * 20 * * | 0 0 0 0 3 1 0 0 | 0 0 0 3 3 0 0 | 0 3 1 0 ..x ... ... ... | 0 0 2 | * * * * 10 * | 0 0 0 0 0 1 3 0 | 0 0 0 3 0 3 0 | 0 3 0 1 ... ..x ... ... | 0 0 2 | * * * * * 30 | 0 0 0 0 1 0 1 2 | 0 0 0 1 2 2 1 | 0 2 1 1 --------------------+----------+-------------------+-------------------------+------------------+-------- o..3x.. ... ... | 3 0 0 | 3 0 0 0 0 0 | 10 * * * * * * * | 2 0 0 1 0 0 0 | 1 2 0 0 ... x..3x.. ... | 6 0 0 | 3 3 0 0 0 0 | * 20 * * * * * * | 1 1 0 0 1 0 0 | 1 1 1 0 ... ... x..3o.. | 3 0 0 | 0 3 0 0 0 0 | * * 10 * * * * * | 0 2 1 0 0 0 0 | 1 0 2 0 ... ... xo. ...&#x | 2 1 0 | 0 1 2 0 0 0 | * * * 30 * * * * | 0 0 1 0 2 0 0 | 0 1 2 0 ... xux ... ...&#xt | 2 2 2 | 1 0 2 2 0 1 | * * * * 30 * * * | 0 0 0 1 2 0 0 | 0 2 1 0 .ox ... ... ...&#x | 0 1 2 | 0 0 0 2 1 0 | * * * * * 10 * * | 0 0 0 3 0 0 0 | 0 3 0 0 ..x3..x ... ... | 0 0 6 | 0 0 0 0 3 3 | * * * * * * 10 * | 0 0 0 1 0 2 0 | 0 2 0 1 ... ..x3..o ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * 20 | 0 0 0 0 1 1 1 | 0 1 1 1 --------------------+----------+-------------------+-------------------------+------------------+-------- o..3x..3x.. ... ♦ 12 0 0 | 12 6 0 0 0 0 | 4 4 0 0 0 0 0 0 | 5 * * * * * * | 1 1 0 0 ... x..3x..3o.. ♦ 12 0 0 | 6 12 0 0 0 0 | 0 4 4 0 0 0 0 0 | * 5 * * * * * | 1 0 1 0 ... ... xo.3oo.&#x ♦ 3 1 0 | 0 3 3 0 0 0 | 0 0 1 3 0 0 0 0 | * * 10 * * * * | 0 0 2 0 oox3xux ... ...&#xt ♦ 3 3 6 | 3 0 3 6 3 3 | 1 0 0 0 3 3 1 0 | * * * 10 * * * | 0 2 0 0 ... xux3xoo ...&#xt ♦ 6 3 3 | 3 3 6 3 0 3 | 0 1 0 3 3 0 0 1 | * * * * 20 * * | 0 1 1 0 ..x3..x3..o ... ♦ 0 0 12 | 0 0 0 0 6 12 | 0 0 0 0 0 0 4 4 | * * * * * 5 * | 0 1 0 1 ... ..x3..o3..o ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * 5 | 0 0 1 1 --------------------+----------+-------------------+-------------------------+------------------+-------- o..3x..3x..3o.. ♦ 30 0 0 | 30 30 0 0 0 0 | 10 20 10 0 0 0 0 0 | 5 5 0 0 0 0 0 | 1 * * * oox3xux3xoo ...&#xt ♦ 12 6 12 | 12 6 12 12 6 12 | 4 4 0 6 12 6 4 4 | 1 0 0 4 4 1 0 | * 5 * * ... xux3xoo3ooo&#xt ♦ 12 4 4 | 6 12 12 4 0 6 | 0 4 4 12 6 0 0 4 | 0 1 4 0 4 0 1 | * * 5 * ..x3..x3..o3..o ♦ 0 0 20 | 0 0 0 0 10 30 | 0 0 0 0 0 0 10 20 | 0 0 0 0 0 5 5 | * * * 1
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