Acronym	tojak
Name	truncated icosiheptaheptacontidipeton
Circumradius	2
Inradius wrt. hin	sqrt(27/8) = 1.837117
Inradius wrt. tix	3/2 = 1.5
Inradius wrt. tot	sqrt(3/2) = 1.224745
Lace city in approx. ASCII-art	n o -- x3o3o *b3o3o (hin) N O -- u3o3o *b3o3o (u-hin) X r R Z -- x3x3o *b3o3o (thin) N S t O -- u3o3o *b3o3x ((u,x)-siphin) n s T o -- x3o3o *b3o3u ((x,u)-siphin) e E Y E e -- o3o3o *b3x3x (tot) where: n = x3o3o *b3o (hex) e = o3o3x *b3o (+gyro hex) o = o3o3o *b3x (-gyro hex) N = u3o3o *b3o (u-hex) E = o3o3u *b3o (+gyro u-hex) O = o3o3o *b3u (-gyro u-hex) X = x3x3o *b3o (thex) Y = o3x3x *b3o (+gyro thex) Z = o3x3o *b3x (-gyro thex) r = u3o3o *b3x ((u,x)-rit) s = x3o3u *b3o (+gyro (u,x)-rit) t = o3o3x *b3u (-gyro (u,x)-rit) R = x3o3o *b3u ((x,u)-rit) S = u3o3x *b3o (+gyro (x,u)-rit) T = o3o3u *b3x (-gyro (x,u)-rit)
Volume	7251 sqrt(3)/160 = 78.494378
Surface	[8685 sqrt(2)+1422 sqrt(3)]/40 = 368.635526
Dihedral angles (at margins)	at pen between hin and tix:   arccos[-sqrt(3/8)] = 127.761244° at tip between tix and tot:   arccos[-sqrt(3/8)] = 127.761244° at hex between hin and tot:   120° at tip between tot and tot:   arccos(-1/4) = 104.477512°
Face vector	432, 2376, 5040, 4320, 1350, 126
Confer	general polytopal classes: Wythoffian polypeta   lace simplices   analogs: truncated Gossetic t(n2,1)   truncated Gossetic t(2n,1)
External links

Incidence matrix according to Dynkin symbol

x3x3o3o3o *c3o

. . . . .    . | 432 |   1   10 |  10   30 |   30   20   10 |  20  10   5   5 |  5  5  1
---------------+-----+----------+----------+----------------+-----------------+---------
x . . . .    . |   2 | 216    * |  10    0 |   30    0    0 |  20  10   0   0 |  5  5  0
. x . . .    . |   2 |   * 2160 |   1    6 |    6    6    3 |   6   3   2   3 |  2  3  1
---------------+-----+----------+----------+----------------+-----------------+---------
x3x . . .    . |   6 |   3    3 | 720    * ♦    6    0    0 |   6   3   0   0 |  2  3  0
. x3o . .    . |   3 |   0    3 |   * 4320 |    1    2    1 |   2   1   1   2 |  1  2  1
---------------+-----+----------+----------+----------------+-----------------+---------
x3x3o . .    . ♦  12 |   6   12 |   4    4 | 1080    *    * |   2   1   0   0 |  1  2  0
. x3o3o .    . ♦   4 |   0    6 |   0    4 |    * 2160    * |   1   0   1   1 |  1  1  1
. x3o . . *c3o ♦   4 |   0    6 |   0    4 |    *    * 1080 |   0   1   0   2 |  0  2  1
---------------+-----+----------+----------+----------------+-----------------+---------
x3x3o3o .    . ♦  20 |  10   30 |  10   20 |    5    5    0 | 432   *   *   * |  1  1  0
x3x3o . . *c3o ♦  20 |  10   30 |  10   20 |    5    0    5 |   * 216   *   * |  0  2  0
. x3o3o3o    . ♦   5 |   0   10 |   0   10 |    0    5    0 |   *   * 432   * |  1  0  1
. x3o3o . *c3o ♦   8 |   0   24 |   0   32 |    0    8    8 |   *   *   * 270 |  0  1  1
---------------+-----+----------+----------+----------------+-----------------+---------
x3x3o3o3o    . ♦  30 |  15   60 |  20   60 |   15   30    0 |   6   0   6   0 | 72  *  *
x3x3o3o . *c3o ♦  80 |  40  240 |  80  320 |   80   80   80 |  16  16   0  10 |  * 27  *
. x3o3o3o *c3o ♦  16 |   0   80 |   0  160 |    0   80   40 |   0   0  16  10 |  *  * 27

xuxuxo3ooxooo3oooooo *b3ooooox3oooxux&#xt   → all heights = sqrt(3/8) = 0.612372
(hin || u-hin || thin || (u,x)-siphin || (x,u)-siphin || tot)

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