Acronym | thenne |
Name |
truncated hemienneract, cantic enneract |
Circumradius | sqrt(65/8) = 2.850439 |
Inradius wrt. rene | 23/sqrt(72) = 2.710576 |
Inradius wrt. tene | 7/sqrt(8) = 2.474874 |
Inradius wrt. thocto | 3/sqrt(8) = 1.060660 |
Lace city in approx. ASCII-art |
t u U T -- x3x3o *b3o3o3o3o3o (thocto) u d D U -- u3o3x *b3o3o3o3o3o ((u,x)-recto) U D d u -- x3o3u *b3o3o3o3o3o ((x,u)-recto) T U u t -- o3x3x *b3o3o3o3o3o (gyro thocto) where: t = x3x3o *b3o3o3o3o (thesa) T = o3x3x *b3o3o3o3o (gyro thesa) u = u3o3x *b3o3o3o3o ((u,x)-rasa) U = x3o3u *b3o3o3o3o ((x,u)-rasa) d = d3o3o *b3o3o3o3o (d-hesa) D = o3o3d *b3o3o3o3o (gyro d-hesa) |
Dihedral angles
(at margins) | |
Face vector | 9216, 69120, 172032, 231168, 197568, 109536, 37536, 7056, 530 |
Confer |
|
Incidence matrix according to Dynkin symbol
x3x3o *b3o3o3o3o3o3o . . . . . . . . . | 9216 | 1 14 | 14 7 42 | 7 42 21 70 | 21 70 35 70 | 35 70 35 42 | 35 42 21 14 | 21 14 7 2 | 7 2 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x . . . . . . . . | 2 | 4608 * ♦ 14 0 0 | 7 42 0 0 | 21 70 0 0 | 35 70 0 0 | 35 42 0 0 | 21 14 0 0 | 7 2 0 . x . . . . . . . | 2 | * 64512 | 1 1 6 | 1 6 6 15 | 6 15 15 20 | 15 20 20 15 | 20 15 15 6 | 15 6 6 1 | 6 1 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x3x . . . . . . . | 6 | 3 3 | 21504 * * | 1 6 0 0 | 6 15 0 0 | 15 20 0 0 | 20 15 0 0 | 15 6 0 0 | 6 1 0 . x3o . . . . . . | 3 | 0 3 | * 21504 * | 1 0 6 0 | 6 0 15 0 | 15 0 20 0 | 20 0 15 0 | 15 0 6 0 | 6 0 1 . x . *b3o . . . . . | 3 | 0 3 | * * 129024 | 0 1 1 5 | 1 5 5 10 | 5 10 10 10 | 10 10 10 5 | 10 5 5 1 | 5 1 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x3x3o . . . . . . ♦ 12 | 6 12 | 4 4 0 | 5376 * * * ♦ 6 0 0 0 | 15 0 0 0 | 20 0 0 0 | 15 0 0 0 | 6 0 0 x3x . *b3o . . . . . ♦ 12 | 6 12 | 4 0 4 | * 32256 * * | 1 5 0 0 | 5 10 0 0 | 10 10 0 0 | 10 5 0 0 | 5 1 0 . x3o *b3o . . . . . ♦ 6 | 0 12 | 0 4 4 | * * 32256 * | 1 0 5 0 | 5 0 10 0 | 10 0 10 0 | 10 0 5 0 | 5 0 1 . x . *b3o3o . . . . ♦ 4 | 0 6 | 0 0 4 | * * * 161280 | 0 1 1 4 | 1 4 4 6 | 4 6 6 4 | 6 4 4 1 | 4 1 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x3x3o *b3o . . . . . ♦ 48 | 24 96 | 32 32 32 | 8 8 8 0 | 4032 * * * ♦ 5 0 0 0 | 10 0 0 0 | 10 0 0 0 | 5 0 0 x3x . *b3o3o . . . . ♦ 20 | 10 30 | 10 0 20 | 0 5 0 5 | * 32256 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 0 | 4 1 0 . x3o *b3o3o . . . . ♦ 10 | 0 30 | 0 10 20 | 0 0 5 5 | * * 32256 * | 1 0 4 0 | 4 0 6 0 | 6 0 4 0 | 4 0 1 . x . *b3o3o3o . . . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * 129024 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x3x3o *b3o3o . . . . ♦ 160 | 80 480 | 160 160 320 | 40 80 80 80 | 10 16 16 0 | 2016 * * * ♦ 4 0 0 0 | 6 0 0 0 | 4 0 0 x3x . *b3o3o3o . . . ♦ 30 | 15 60 | 20 0 60 | 0 15 0 30 | 0 6 0 6 | * 21504 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x3o *b3o3o3o . . . ♦ 15 | 0 60 | 0 20 60 | 0 0 15 30 | 0 0 6 6 | * * 21504 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . x . *b3o3o3o3o . . ♦ 6 | 0 15 | 0 0 20 | 0 0 0 15 | 0 0 0 6 | * * * 64512 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x3x3o *b3o3o3o . . . ♦ 480 | 240 1920 | 640 640 1920 | 160 480 480 960 | 60 192 192 192 | 12 32 32 0 | 672 * * * | 3 0 0 0 | 3 0 0 x3x . *b3o3o3o3o . . ♦ 42 | 21 105 | 35 0 140 | 0 35 0 105 | 0 21 0 42 | 0 7 0 7 | * 9216 * * | 1 2 0 0 | 2 1 0 . x3o *b3o3o3o3o . . ♦ 21 | 0 105 | 0 35 140 | 0 0 35 105 | 0 0 21 42 | 0 0 7 7 | * * 9216 * | 1 0 2 0 | 2 0 1 . x . *b3o3o3o3o3o . ♦ 7 | 0 21 | 0 0 35 | 0 0 0 35 | 0 0 0 21 | 0 0 0 7 | * * * 18432 | 0 1 1 1 | 1 1 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x3x3o *b3o3o3o3o . . ♦ 1344 | 672 6720 | 2240 2240 8960 | 560 2240 2240 6720 | 280 1344 1344 2688 | 84 448 448 448 | 14 64 64 0 | 144 * * * | 2 0 0 x3x . *b3o3o3o3o3o . ♦ 56 | 28 168 | 56 0 280 | 0 70 0 280 | 0 56 0 168 | 0 28 0 56 | 0 8 0 8 | * 2304 * * | 1 1 0 . x3o *b3o3o3o3o3o . ♦ 28 | 0 168 | 0 56 280 | 0 0 70 280 | 0 0 56 168 | 0 0 28 56 | 0 0 8 8 | * * 2304 * | 1 0 1 . x . *b3o3o3o3o3o3o ♦ 8 | 0 28 | 0 0 56 | 0 0 0 70 | 0 0 0 56 | 0 0 0 28 | 0 0 0 8 | * * * 2304 | 0 1 1 ---------------------+------+------------+--------------------+-------------------------+-------------------------+------------------------+---------------------+--------------------+----------- x3x3o *b3o3o3o3o3o . ♦ 3584 | 1792 21504 | 7168 7168 35840 | 1792 8960 8960 35840 | 1120 7168 7168 21504 | 448 3584 3584 7168 | 112 1024 1024 1024 | 16 128 128 0 | 18 * * x3x . *b3o3o3o3o3o3o ♦ 72 | 36 252 | 84 0 504 | 0 126 0 630 | 0 126 0 504 | 0 84 0 252 | 0 36 0 72 | 0 9 0 9 | * 256 * . x3o *b3o3o3o3o3o3o ♦ 36 | 0 252 | 0 84 504 | 0 0 126 630 | 0 0 126 504 | 0 0 84 252 | 0 0 36 72 | 0 0 9 9 | * * 256
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