Acronym	batal
Name	bitruncated heptapeton
Circumradius	sqrt(19/7) = 1.647509
Inradius wrt. tix	sqrt(27/28) = 0.981981
Inradius wrt. bittix	5/sqrt(84) = 0.545545
Lace city in approx. ASCII-art	o3o3o3x o3o3o3u o3o3x3x -- o3o3o3x3x (tix) o3o3o3u o3o3u3o -- o3o3o3u3o (u-rix) o3o3x3x o3o3u3o o3x3x3o -- o3o3x3x3o (bittix)
Dihedral angles (at margins)	at tip between bittix and tix:   arccos(-1/6) = 99.594068° at deca between bittix and bittix:   arccos(1/6) = 80.405932° at pen between tix and tix:   arccos(1/6) = 80.405932°
Face vector	105, 315, 385, 245, 84, 14
Confer	general polytopal classes: Wythoffian polypeta   lace simplices   analogs: bitruncated simplex btSn
External links

Incidence matrix according to Dynkin symbol

o3x3x3o3o3o

. . . . . . | 105 |   2   4 |  1   8   6 |  4  12   4 |  6  8  1 | 4 2
------------+-----+---------+------------+------------+----------+----
. x . . . . |   2 | 105   * |  1   4   0 |  4   6   0 |  6  4  0 | 4 1
. . x . . . |   2 |   * 210 |  0   2   3 |  1   6   3 |  3  6  1 | 3 2
------------+-----+---------+------------+------------+----------+----
o3x . . . . |   3 |   3   0 | 35   *   * ♦  4   0   0 |  6  0  0 | 4 0
. x3x . . . |   6 |   3   3 |  * 140   * |  1   3   0 |  3  3  0 | 3 1
. . x3o . . |   3 |   0   3 |  *   * 210 |  0   2   2 |  1  4  1 | 2 2
------------+-----+---------+------------+------------+----------+----
o3x3x . . . ♦  12 |  12   6 |  4   4   0 | 35   *   * |  3  0  0 | 3 0
. x3x3o . . ♦  12 |   6  12 |  0   4   4 |  * 105   * |  1  2  0 | 2 1
. . x3o3o . ♦   4 |   0   6 |  0   0   4 |  *   * 105 |  0  2  1 | 1 2
------------+-----+---------+------------+------------+----------+----
o3x3x3o . . ♦  30 |  30  30 | 10  20  10 |  5   5   0 | 21  *  * | 2 0
. x3x3o3o . ♦  20 |  10  30 |  0  10  20 |  0   5   5 |  * 42  * | 1 1
. . x3o3o3o ♦   5 |   0  10 |  0   0  10 |  0   0   5 |  *  * 21 | 0 2
------------+-----+---------+------------+------------+----------+----
o3x3x3o3o . ♦  60 |  60  90 | 20  60  60 | 15  30  15 |  6  6  0 | 7 *
. x3x3o3o3o ♦  30 |  15  60 |  0  20  60 |  0  15  30 |  0  6  6 | * 7

xoo3xux3oox3ooo3ooo&#xt   → both heights = sqrt(7/12) = 0.763763
(tix || pseudo u-rix || bittix)

o..3o..3o..3o..3o..     | 30  *  * |  1  4  1  0  0  0 |  4  6  1  4  0  0  0  0 |  6  4  4  6  0  0  0  0 | 4 1  6  4  0 0 0 | 1 4 1 0
.o.3.o.3.o.3.o.3.o.     |  * 15  * |  0  0  2  4  0  0 |  0  0  1  8  6  0  0  0 |  0  0  4 12  4  0  0  0 | 0 0  6  8  1 0 0 | 0 4 2 0
..o3..o3..o3..o3..o     |  *  * 60 |  0  0  0  1  2  3 |  0  0  0  2  3  1  6  3 |  0  0  1  6  3  3  6  1 | 0 0  3  6  1 3 2 | 0 3 2 1
------------------------+----------+-------------------+-------------------------+-------------------------+------------------+--------
x.. ... ... ... ...     |  2  0  0 | 15  *  *  *  *  * |  4  0  1  0  0  0  0  0 |  6  0  4  0  0  0  0  0 | 4 0  6  0  0 0 0 | 1 4 0 0
... x.. ... ... ...     |  2  0  0 |  * 60  *  *  *  * |  1  3  0  1  0  0  0  0 |  3  3  1  3  0  0  0  0 | 3 1  3  3  0 0 0 | 1 3 1 0
oo.3oo.3oo.3oo.3oo.&#x  |  1  1  0 |  *  * 30  *  *  * |  0  0  1  4  0  0  0  0 |  0  0  4  6  0  0  0  0 | 0 0  6  4  0 0 0 | 0 4 1 0
.oo3.oo3.oo3.oo3.oo&#x  |  0  1  1 |  *  *  * 60  *  * |  0  0  0  2  3  0  0  0 |  0  0  1  6  3  0  0  0 | 0 0  3  6  1 0 0 | 0 3 2 0
... ..x ... ... ...     |  0  0  2 |  *  *  *  * 60  * |  0  0  0  1  0  1  3  0 |  0  0  1  3  0  3  3  0 | 0 0  3  3  0 3 1 | 0 3 1 1
... ... ..x ... ...     |  0  0  2 |  *  *  *  *  * 90 |  0  0  0  0  1  0  2  2 |  0  0  0  2  2  1  4  1 | 0 0  1  4  1 2 2 | 0 2 2 1
------------------------+----------+-------------------+-------------------------+-------------------------+------------------+--------
x..3x.. ... ... ...     |  6  0  0 |  3  3  0  0  0  0 | 20  *  *  *  *  *  *  * |  3  0  1  0  0  0  0  0 | 3 0  3  0  0 0 0 | 1 3 0 0
... x..3o.. ... ...     |  3  0  0 |  0  3  0  0  0  0 |  * 60  *  *  *  *  *  * |  1  2  0  1  0  0  0  0 | 2 1  1  2  0 0 0 | 1 2 1 0
xo. ... ... ... ...&#x  |  2  1  0 |  1  0  2  0  0  0 |  *  * 15  *  *  *  *  * ♦  0  0  4  0  0  0  0  0 | 0 0  6  0  0 0 0 | 0 4 0 0
... xux ... ... ...&#xt |  2  2  2 |  0  1  2  2  1  0 |  *  *  * 60  *  *  *  * |  0  0  1  3  0  0  0  0 | 0 0  3  3  0 0 0 | 0 3 1 0
... ... .ox ... ...&#x  |  0  1  2 |  0  0  0  2  0  1 |  *  *  *  * 90  *  *  * |  0  0  0  2  2  0  0  0 | 0 0  1  4  1 0 0 | 0 2 2 0
..o3..x ... ... ...     |  0  0  3 |  0  0  0  0  3  0 |  *  *  *  *  * 20  *  * ♦  0  0  1  0  0  3  0  0 | 0 0  3  0  0 3 0 | 0 3 0 1
... ..x3..x ... ...     |  0  0  6 |  0  0  0  0  3  3 |  *  *  *  *  *  * 60  * |  0  0  0  1  0  1  2  0 | 0 0  1  2  0 2 1 | 0 2 1 1
... ... ..x3..o ...     |  0  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  * 60 |  0  0  0  0  1  0  2  1 | 0 0  0  2  1 1 2 | 0 1 2 1
------------------------+----------+-------------------+-------------------------+-------------------------+------------------+--------
x..3x..3o.. ... ...     ♦ 12  0  0 |  6 12  0  0  0  0 |  4  4  0  0  0  0  0  0 | 15  *  *  *  *  *  *  * | 2 0  1  0  0 0 0 | 1 2 0 0
... x..3o..3o.. ...     ♦  4  0  0 |  0  6  0  0  0  0 |  0  4  0  0  0  0  0  0 |  * 30  *  *  *  *  *  * | 1 1  0  1  0 0 0 | 1 1 1 0
xoo3xux ... ... ...&#xt ♦  6  3  3 |  3  3  6  3  3  0 |  1  0  3  3  0  1  0  0 |  *  * 20  *  *  *  *  * | 0 0  3  0  0 0 0 | 0 3 0 0
... xux3oox ... ...&#xt ♦  3  3  6 |  0  3  3  6  3  3 |  0  1  0  3  3  0  1  0 |  *  *  * 60  *  *  *  * | 0 0  1  2  0 0 0 | 0 2 1 0
... ... .ox3.oo ...&#x  ♦  0  1  3 |  0  0  0  3  0  3 |  0  0  0  0  3  0  0  1 |  *  *  *  * 60  *  *  * | 0 0  0  2  1 0 0 | 0 1 2 0
..o3..x3..x ... ...     ♦  0  0 12 |  0  0  0  0 12  6 |  0  0  0  0  0  4  4  0 |  *  *  *  *  * 15  *  * | 0 0  1  0  0 2 0 | 0 2 0 1
... ..x3..x3..o ...     ♦  0  0 12 |  0  0  0  0  6 12 |  0  0  0  0  0  0  4  4 |  *  *  *  *  *  * 30  * | 0 0  0  1  0 1 1 | 0 1 1 1
... ... ..x3..o3..o     ♦  0  0  4 |  0  0  0  0  0  6 |  0  0  0  0  0  0  0  4 |  *  *  *  *  *  *  * 15 | 0 0  0  0  1 0 2 | 0 0 2 1
------------------------+----------+-------------------+-------------------------+-------------------------+------------------+--------
x..3x..3o..3o.. ...     ♦ 20  0  0 | 10 30  0  0  0  0 | 10 20  0  0  0  0  0  0 |  5  5  0  0  0  0  0  0 | 6 *  *  *  * * * | 1 1 0 0
... x..3o..3o..3o..     ♦  5  0  0 |  0 10  0  0  0  0 |  0 10  0  0  0  0  0  0 |  0  5  0  0  0  0  0  0 | * 6  *  *  * * * | 1 0 1 0
xoo3xux3oox ... ...&#xt ♦ 12  6 12 |  6 12 12 12 12  6 |  4  4  6 12  6  4  4  0 |  1  0  4  4  0  1  0  0 | * * 15  *  * * * | 0 2 0 0
... xux3oox3ooo ...&#xt ♦  4  4 12 |  0  6  4 12  6 12 |  0  4  0  6 12  0  4  4 |  0  1  0  4  4  0  1  0 | * *  * 30  * * * | 0 1 1 0
... ... .ox3.oo3.oo&#x  ♦  0  1  4 |  0  0  0  4  0  6 |  0  0  0  0  6  0  0  4 |  0  0  0  0  4  0  0  1 | * *  *  * 15 * * | 0 0 2 0
..o3..x3..x3..o ...     ♦  0  0 30 |  0  0  0  0 30 30 |  0  0  0  0  0 10 20 10 |  0  0  0  0  0  5  5  0 | * *  *  *  * 6 * | 0 1 0 1
... ..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  0  5  5 | * *  *  *  * * 6 | 0 0 1 1
------------------------+----------+-------------------+-------------------------+-------------------------+------------------+--------
x..3x..3o..3o..3o..     ♦ 30  0  0 | 15 60  0  0  0  0 | 20 60  0  0  0  0  0  0 | 15 30  0  0  0  0  0  0 | 6 6  0  0  0 0 0 | 1 * * *
xoo3xux3oox3ooo ...&#xt ♦ 20 10 30 | 10 30 20 30 30 30 | 10 20 10 30 30 10 20 10 |  5  5 10 20 10  5  5  0 | 1 0  5  5  0 1 0 | * 6 * *
... xux3oox3ooo3ooo&#xt ♦  5  5 20 |  0 10  5 20 10 30 |  0 10  0 10 30  0 10 20 |  0  5  0 10 20  0  5  5 | 0 1  0  5  5 0 1 | * * 6 *
..o3..x3..x3..o3..o     ♦  0  0 60 |  0  0  0  0 60 90 |  0  0  0  0  0 20 60 60 |  0  0  0  0  0 15 30 15 | 0 0  0  0  0 6 6 | * * * 1