Acronym dijak (alt.: taccahin)
Name (mono-)diminished icosiheptaheptacontidipeton,
tac atop hin,
vertex figure of jaka
Circumradius sqrt(2/3) = 0.816497
Lace city
in approx. ASCII-art 
o    		where:
    E		E = o3o3x *b3o (hex)
X    		O = o3o3o *b3x
    O		X = x3o3o *b3o
o    		o = o3o3o *b3o (point)
     
|   +		x3o3o *b3o3o (hin)
+----		o3o3o *b3o3x (tac)
Coordinates
  1. (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 0)    & all even changes of sign in one but last coord.
    (right hin layer)
  2. (1/sqrt(2), 0, 0, 0, 0, -sqrt(3/8))                                     & all permutations, all changes of sign in one but last coord.
    (left tac layer)
Dihedral angles
(at margins)
  • at pen between hix and tac:   arccos[-sqrt(3/8)] = 127.761244°
  • at hex between hexpy and hin:   120°
  • at pen between hexpy and tac:   arccos(-1/4) = 104.477512°
  • at pen between tac and tac:   arccos(-1/4) = 104.477512°
  • at pen between hin and tac:   arccos(1/4) = 75.522488°
Face vector 26, 200, 640, 920, 538, 84
Confer
uniform relative:
jak  
related segmentopeta:
tedjak   hedjak   hinpy  
general polytopal classes:
segmentopeta   fundamental lace prisms   lace simplices  

Incidence matrix according to Dynkin symbol

ox3oo3oo3xo *c3oo&#x   → height = sqrt(3/8) = 0.612372
(hin || tac)

o.3o.3o.3o. *c3o.    | 16  * ♦ 10  5  0 |  30  10  30  0 | 20 10  10  30  60  0 |  5  5  5 10  30 20 20  0  0 | 1  5 10  1  5 0
.o3.o3.o3.o *c3.o    |  * 10 ♦  0  8  8 |   0  32  24 24 |  0  0  48  48  32 32 |  0  0 32 24  32  8  8  8  8 | 0  1  8  8  8 1
---------------------+-------+----------+----------------+----------------------+-----------------------------+----------------
.. .. .. x.    ..    |  2  0 | 80  *  * ♦   6   0   3  0 |  6  3   0   3  12  0 |  2  3  0  1   6  6  6  0  0 | 1  3  3  0  2 0
oo3oo3oo3oo *c3oo&#x |  1  1 |  * 80  * ♦   0   4   6  0 |  0  0   6  12  12  0 |  0  0  4  6  12  4  4  0  0 | 0  1  4  1  4 0
.x .. .. ..    ..    |  0  2 |  *  * 40 ♦   0   4   0  6 |  0  0  12   6   0 12 |  0  0 12  6   4  0  0  4  4 | 0  0  1  4  4 1
---------------------+-------+----------+----------------+----------------------+-----------------------------+----------------
.. .. o.3x.    ..    |  3  0 |  3  0  0 | 160   *   *  * |  2  1   0   0   2  0 |  1  2  0  0   1  2  2  0  0 | 1  2  1  0  1 0
ox .. .. ..    ..&#x |  1  2 |  0  2  1 |   * 160   *  * ♦  0  0   3   3   0  0 |  0  0  3  3   3  0  0  0  0 | 0  0  1  1  3 0
.. .. .. xo    ..&#x |  2  1 |  1  2  0 |   *   * 240  * ♦  0  0   0   2   4  0 |  0  0  0  1   4  2  2  0  0 | 0  1  2  0  2 0
.x3.o .. ..    ..    |  0  3 |  0  0  3 |   *   *   * 80 ♦  0  0   2   0   0  4 |  0  0  4  1   0  0  0  2  2 | 0  0  0  2  2 1
---------------------+-------+----------+----------------+----------------------+-----------------------------+----------------
.. o.3o.3x.    ..    ♦  4  0 |  6  0  0 |   4   0   0  0 | 80  *   *   *   *  * |  1  1  0  0   0  1  0  0  0 | 1  1  0  0  1 0
.. .. o.3x. *c3o.    ♦  4  0 |  6  0  0 |   4   0   0  0 |  * 40   *   *   *  * |  0  2  0  0   0  0  2  0  0 | 1  2  1  0  0 0
ox3oo .. ..    ..&#x ♦  1  3 |  0  3  3 |   0   3   0  1 |  *  * 160   *   *  * |  0  0  2  1   0  0  0  0  0 | 0  0  0  1  2 0
ox .. .. xo    ..&#x ♦  2  2 |  1  4  1 |   0   2   2  0 |  *  *   * 240   *  * |  0  0  0  1   2  0  0  0  0 | 0  0  1  0  2 0
.. .. oo3xo    ..&#x ♦  3  1 |  3  3  0 |   1   0   3  0 |  *  *   *   * 320  * |  0  0  0  0   1  1  1  0  0 | 0  1  1  0  1 0
.x3.o3.o ..    ..    ♦  0  4 |  0  0  6 |   0   0   0  4 |  *  *   *   *   * 80 |  0  0  1  0   0  0  0  1  1 | 0  0  0  1  1 1
---------------------+-------+----------+----------------+----------------------+-----------------------------+----------------
o.3o.3o.3x.    ..    ♦  5  0 | 10  0  0 |  10   0   0  0 |  5  0   0   0   0  0 | 16  *  *  *   *  *  *  *  * | 1  0  0  0  1 0
.. o.3o.3x. *c3o.    ♦  8  0 | 24  0  0 |  32   0   0  0 |  8  8   0   0   0  0 |  * 10  *  *   *  *  *  *  * | 1  1  0  0  0 0
ox3oo3oo ..    ..&#x ♦  1  4 |  0  4  6 |   0   6   0  4 |  0  0   4   0   0  1 |  *  * 80  *   *  *  *  *  * | 0  0  0  1  1 0
ox3oo .. xo    ..&#x ♦  2  3 |  1  6  3 |   0   6   3  1 |  0  0   2   3   0  0 |  *  *  * 80   *  *  *  *  * | 0  0  0  0  2 0
ox .. oo3xo    ..&#x ♦  3  2 |  3  6  1 |   1   3   6  0 |  0  0   0   3   2  0 |  *  *  *  * 160  *  *  *  * | 0  0  1  0  1 0
.. oo3oo3xo    ..&#x ♦  4  1 |  6  4  0 |   4   0   6  0 |  1  0   0   0   4  0 |  *  *  *  *   * 80  *  *  * | 0  1  0  0  1 0
.. .. oo3xo *c3oo&#x ♦  4  1 |  6  4  0 |   4   0   6  0 |  0  1   0   0   4  0 |  *  *  *  *   *  * 80  *  * | 0  1  1  0  0 0
.x3.o3.o3.o    ..    ♦  0  5 |  0  0 10 |   0   0   0 10 |  0  0   0   0   0  5 |  *  *  *  *   *  *  * 16  * | 0  0  0  0  1 1
.x3.o3.o .. *c3.o    ♦  0  5 |  0  0 10 |   0   0   0 10 |  0  0   0   0   0  5 |  *  *  *  *   *  *  *  * 16 | 0  0  0  1  0 1
---------------------+-------+----------+----------------+----------------------+-----------------------------+----------------
o.3o.3o.3x. *c3o.    ♦ 16  0 | 80  0  0 | 160   0   0  0 | 80 40   0   0   0  0 | 16 10  0  0   0  0  0  0  0 | 1  *  *  *  * *
.. oo3oo3xo *c3oo&#x ♦  8  1 | 24  8  0 |  32   0  24  0 |  8  8   0   0  32  0 |  0  1  0  0   0  8  8  0  0 | * 10  *  *  * *
ox .. oo3xo *c3oo&#x ♦  4  2 |  6  8  1 |   4   4  12  0 |  0  1   0   6   8  0 |  0  0  0  0   4  0  2  0  0 | *  * 40  *  * *
ox3oo3oo .. *c3oo&#x ♦  1  5 |  0  5 10 |   0  10   0 10 |  0  0  10   0   0  5 |  0  0  5  0   0  0  0  0  1 | *  *  * 16  * *
ox3oo3oo3xo    ..&#x ♦  5  5 | 10 20 10 |  10  30  30 10 |  5  0  20  30  20  5 |  1  0  5 10  10  5  0  1  0 | *  *  *  * 16 *
.x3.o3.o3.o *c3.o    ♦  0 10 |  0  0 40 |   0   0   0 80 |  0  0   0   0   0 80 |  0  0  0  0   0  0  0 16 16 | *  *  *  *  * 1

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