Acronym dijakpy
Name diminished-icosiheptaheptacontidipetic pyramid,
(hin, tac, point)-trigonic
Circumradius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art
o    	where: o = o3o3o *b3o3o (point)
    t	       h = x3o3o *b3o3o (hin)
h    	       t = o3o3o *b3o3x (tac)
Face vector 27, 226, 840, 1560, 1458, 622, 85
Confer
uniform relative:
naq  
related CRFs:
jakpy  
general polytopal classes:
segmentoexa   lace simplices  

Incidence matrix according to Dynkin symbol

oxo3ooo3ooo3xoo *c3ooo&#x   → height(1,2) = height(1,3) = sqrt(3/8) = 0.612372
                              height(2,3) = height = 1/sqrt(2) = 0.707107
                              height(12,3) = 1/sqrt(3) = 0.577350

o..3o..3o..3o.. *c3o..    | 16  * *  10  5  1  0  0 |  30  10  30  5 10  0  0 | 20 10  10  30  60  10  30  30  0  0 |  5  5  5 10  30 20 20  10  30  60 20 10  0  0  0 | 1  5  1 10  5  5 10  30 20 20  5  5 0  0  0 | 1  5  1 10  5 1 0
.o.3.o.3.o.3.o. *c3.o.    |  * 10 *   0  8  0  8  1 |   0  32  24  8  0 24  8 |  0  0  48  48  32  32  24   0 32 24 |  0  0 32 24  32  8  8  48  48  32  0  0  8  8 32 | 0  8  8  8  1 32 24  32  8  8  0  0 1  8  8 | 1  8  8  8  1 0 1
..o3..o3..o3..o *c3..o    |  *  * 1   0  0 16  0 10 |   0   0   0 80 80 80 40 |  0  0   0   0   0 160 240 160  0 80 |  0  0  0  0   0  0  0 160 240 320 80 40  0  0 80 | 0  0  0  0  0 80 80 160 80 80 16 10 0 16 16 | 0 16 16 40 10 1 1
--------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------
... ... ... x..    ...    |  2  0 0 | 80  *  *  *  * |   6   0   3  0  1  0  0 |  6  3   0   3  12   0   3   6  0  0 |  2  3  0  1   6  6  6   0   3  12  6  3  0  0  0 | 1  2  0  3  3  0  1   6  6  6  2  3 0  0  0 | 1  2  0  3  3 1 0
oo.3oo.3oo.3oo. *c3oo.&#x |  1  1 0 |  * 80  *  *  *    0   4   6  1  0  0  0 |  0  0   6  12  12   4   6   0  0  0 |  0  0  4  6  12  4  4   6  12  12  0  0  0  0  0 | 0  4  1  4  1  4  6  12  4  4  0  0 0  0  0 | 1  4  1  4  1 0 0
o.o3o.o3o.o3o.o *c3o.o&#x |  1  0 1 |  *  * 16  *  *    0   0   0  5 10  0  0 |  0  0   0   0   0  10  30  30  0  0 |  0  0  0  0   0  0  0  10  30  60 20 10  0  0  0 | 0  0  0  0  0  5 10  30 20 20  5  5 0  0  0 | 0  5  1 10  5 1 0
.x. ... ... ...    ...    |  0  2 0 |  *  *  * 40  *    0   4   0  0  0  6  1 |  0  0  12   6   0   4   0   0 12  6 |  0  0 12  6   4  0  0  12   6   0  0  0  4  4 12 | 0  4  4  1  0 12  6   4  0  0  0  0 1  4  4 | 1  4  4  1  0 0 1
.oo3.oo3.oo3.oo *c3.oo&#x |  0  1 1 |  *  *  *  * 10    0   0   0  8  0  0  8 |  0  0   0   0   0  32  24   0  0 24 |  0  0  0  0   0  0  0  48  48  32  0  0  0  0 32 | 0  0  0  0  0 32 24  32  8  8  0  0 0  8  8 | 0  8  8  8  1 0 1
--------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------
... ... o..3x..    ...    |  3  0 0 |  3  0  0  0  0 | 160   *   *  *  *  *  * |  2  1   0   0   2   0   0   1  0  0 |  1  2  0  0   1  2  2   0   0   2  2  1  0  0  0 | 1  1  0  1  2  0  0   1  2  2  1  2 0  0  0 | 1  1  0  1  2 1 0
ox. ... ... ...    ...&#x |  1  2 0 |  0  2  0  1  0 |   * 160   *  *  *  *  * |  0  0   3   3   0   1   0   0  0  0 |  0  0  3  3   3  0  0   3   3   0  0  0  0  0  0 | 0  3  1  1  0  3  3   3  0  0  0  0 0  0  0 | 1  3  1  1  0 0 0
... ... ... xo.    ...&#x |  2  1 0 |  1  2  0  0  0 |   *   * 240  *  *  *  * |  0  0   0   2   4   0   1   0  0  0 |  0  0  0  1   4  2  2   0   2   4  0  0  0  0  0 | 0  2  0  2  1  0  1   4  2  2  0  0 0  0  0 | 1  2  0  2  1 0 0
ooo3ooo3ooo3ooo *c3ooo&#x |  1  1 1 |  0  1  1  0  1 |   *   *   * 80  *  *  *   0  0   0   0   0   4   6   0  0  0 |  0  0  0  0   0  0  0   6  12  12  0  0  0  0  0 | 0  0  0  0  0  4  6  12  4  4  0  0 0  0  0 | 0  4  1  4  1 0 0
... ... ... x.o    ...&#x |  2  0 1 |  1  0  2  0  0 |   *   *   *  * 80  *  *   0  0   0   0   0   0   3   6  0  0 |  0  0  0  0   0  0  0   0   3  12  6  3  0  0  0 | 0  0  0  0  0  0  1   6  6  6  2  3 0  0  0 | 0  2  0  3  3 1 0
.x.3.o. ... ...    ...    |  0  3 0 |  0  0  0  3  0 |   *   *   *  *  * 80  * |  0  0   2   0   0   0   0   0  4  1 |  0  0  4  1   0  0  0   2   0   0  0  0  2  2  4 | 0  2  2  0  0  4  1   0  0  0  0  0 1  2  2 | 1  2  2  0  0 0 1
.xo ... ... ...    ...&#x |  0  2 1 |  0  0  0  1  2 |   *   *   *  *  *  * 40   0  0   0   0   0   4   0   0  0  6 |  0  0  0  0   0  0  0  12   6   0  0  0  0  0 12 | 0  0  0  0  0 12  6   4  0  0  0  0 0  4  4 | 0  4  4  1  0 0 1
--------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------
... o..3o..3x..    ...      4  0 0 |  6  0  0  0  0 |   4   0   0  0  0  0  0 | 80  *   *   *   *   *   *   *  *  * |  1  1  0  0   0  1  0   0   0   0  1  0  0  0  0 | 1  1  0  0  1  0  0   0  1  0  1  1 0  0  0 | 1  1  0  0  1 1 0
... ... o..3x.. *c3o..      4  0 0 |  6  0  0  0  0 |   4   0   0  0  0  0  0 |  * 40   *   *   *   *   *   *  *  * |  0  2  0  0   0  0  2   0   0   0  0  1  0  0  0 | 1  0  0  1  2  0  0   0  0  2  0  2 0  0  0 | 1  0  0  1  2 1 0
ox.3oo. ... ...    ...&#x   1  3 0 |  0  3  0  3  0 |   0   3   0  0  0  1  0 |  *  * 160   *   *   *   *   *  *  * |  0  0  2  1   0  0  0   1   0   0  0  0  0  0  0 | 0  2  1  0  0  2  1   0  0  0  0  0 0  0  0 | 1  2  1  0  0 0 0
ox. ... ... xo.    ...&#x   2  2 0 |  1  4  0  1  0 |   0   2   2  0  0  0  0 |  *  *   * 240   *   *   *   *  *  * |  0  0  0  1   2  0  0   0   1   0  0  0  0  0  0 | 0  2  0  1  0  0  1   2  0  0  0  0 0  0  0 | 1  2  0  1  0 0 0
... ... oo.3xo.    ...&#x   3  1 0 |  3  3  0  0  0 |   1   0   3  0  0  0  0 |  *  *   *   * 320   *   *   *  *  * |  0  0  0  0   1  1  1   0   0   1  0  0  0  0  0 | 0  1  0  1  1  0  0   1  1  1  0  0 0  0  0 | 1  1  0  1  1 0 0
oxo ... ... ...    ...&#x   1  2 1 |  0  2  1  1  2 |   0   1   0  2  0  0  1 |  *  *   *   *   * 160   *   *  *  *   0  0  0  0   0  0  0   3   3   0  0  0  0  0  0 | 0  0  0  0  0  3  3   3  0  0  0  0 0  0  0 | 0  3  1  1  0 0 0
... ... ... xoo    ...&#x   2  1 1 |  1  2  2  0  1 |   0   0   1  2  1  0  0 |  *  *   *   *   *   * 240   *  *  * |  0  0  0  0   0  0  0   0   2   4  0  0  0  0  0 | 0  0  0  0  0  0  1   4  2  2  0  0 0  0  0 | 0  2  0  2  1 0 0
... ... o.o3x.o    ...&#x   3  0 1 |  3  0  3  0  0 |   1   0   0  0  3  0  0 |  *  *   *   *   *   *   * 160  *  * |  0  0  0  0   0  0  0   0   0   2  2  1  0  0  0 | 0  0  0  0  0  0  0   1  2  2  1  2 0  0  0 | 0  1  0  1  2 1 0
.x.3.o.3.o. ...    ...      0  4 0 |  0  0  0  6  0 |   0   0   0  0  0  4  0 |  *  *   *   *   *   *   *   * 80  * |  0  0  1  0   0  0  0   0   0   0  0  0  1  1  1 | 0  1  1  0  0  1  0   0  0  0  0  0 1  1  1 | 1  1  1  0  0 0 1
.xo3.oo ... ...    ...&#x   0  3 1 |  0  0  0  3  3 |   0   0   0  0  0  1  3 |  *  *   *   *   *   *   *   *  * 80   0  0  0  0   0  0  0   2   0   0  0  0  0  0  4 | 0  0  0  0  0  4  1   0  0  0  0  0 0  2  2 | 0  2  2  0  0 0 1
--------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------
o..3o..3o..3x..    ...      5  0 0 | 10  0  0  0  0 |  10   0   0  0  0  0  0 |  5  0   0   0   0   0   0   0  0  0 | 16  *  *  *   *  *  *   *   *   *  *  *  *  *  * | 1  1  0  0  0  0  0   0  0  0  1  0 0  0  0 | 1  1  0  0  0 1 0
... o..3o..3x.. *c3o..      8  0 0 | 24  0  0  0  0 |  32   0   0  0  0  0  0 |  8  8   0   0   0   0   0   0  0  0 |  * 10  *  *   *  *  *   *   *   *  *  *  *  *  * | 1  0  0  0  1  0  0   0  0  0  0  1 0  0  0 | 1  0  0  0  1 1 0
ox.3oo.3oo. ...    ...&#x   1  4 0 |  0  4  0  6  0 |   0   6   0  0  0  4  0 |  0  0   4   0   0   0   0   0  1  0 |  *  * 80  *   *  *  *   *   *   *  *  *  *  *  * | 0  1  1  0  0  1  0   0  0  0  0  0 0  0  0 | 1  1  1  0  0 0 0
ox.3oo. ... xo.    ...&#x   2  3 0 |  1  6  0  3  0 |   0   6   3  0  0  1  0 |  0  0   2   3   0   0   0   0  0  0 |  *  *  * 80   *  *  *   *   *   *  *  *  *  *  * | 0  2  0  0  0  0  1   0  0  0  0  0 0  0  0 | 1  2  0  0  0 0 0
ox. ... oo.3xo.    ...&#x   3  2 0 |  3  6  0  1  0 |   1   3   6  0  0  0  0 |  0  0   0   3   2   0   0   0  0  0 |  *  *  *  * 160  *  *   *   *   *  *  *  *  *  * | 0  1  0  1  0  0  0   1  0  0  0  0 0  0  0 | 1  1  0  1  0 0 0
... oo.3oo.3xo.    ...&#x   4  1 0 |  6  4  0  0  0 |   4   0   6  0  0  0  0 |  1  0   0   0   4   0   0   0  0  0 |  *  *  *  *   * 80  *   *   *   *  *  *  *  *  * | 0  1  0  0  1  0  0   0  1  0  0  0 0  0  0 | 1  1  0  0  1 0 0
... ... oo.3xo. *c3oo.&#x   4  1 0 |  6  4  0  0  0 |   4   0   6  0  0  0  0 |  0  1   0   0   4   0   0   0  0  0 |  *  *  *  *   *  * 80   *   *   *  *  *  *  *  * | 0  0  0  1  1  0  0   0  0  1  0  0 0  0  0 | 1  0  0  1  1 0 0
oxo3ooo ... ...    ...&#x   1  3 1 |  0  3  1  3  3 |   0   3   0  3  0  1  3 |  0  0   1   0   0   3   0   0  0  1 |  *  *  *  *   *  *  * 160   *   *  *  *  *  *  * | 0  0  0  0  0  2  1   0  0  0  0  0 0  0  0 | 0  2  1  0  0 0 0
oxo ... ... xoo    ...&#x   2  2 1 |  1  4  2  1  2 |   0   2   2  4  1  0  1 |  0  0   0   1   0   2   2   0  0  0 |  *  *  *  *   *  *  *   * 240   *  *  *  *  *  * | 0  0  0  0  0  0  1   2  0  0  0  0 0  0  0 | 0  2  0  1  0 0 0
... ... ooo3xoo    ...&#x   3  1 1 |  3  3  3  0  1 |   1   0   3  3  3  0  0 |  0  0   0   0   1   0   3   1  0  0 |  *  *  *  *   *  *  *   *   * 320  *  *  *  *  * | 0  0  0  0  0  0  0   1  1  1  0  0 0  0  0 | 0  1  0  1  1 0 0
... o.o3o.o3x.o    ...&#x   4  0 1 |  6  0  4  0  0 |   4   0   0  0  6  0  0 |  1  0   0   0   0   0   0   4  0  0 |  *  *  *  *   *  *  *   *   *   * 80  *  *  *  * | 0  0  0  0  0  0  0   0  1  0  1  1 0  0  0 | 0  1  0  0  1 1 0
... ... o.o3x.o *c3o.o&#x   4  0 1 |  6  0  4  0  0 |   4   0   0  0  6  0  0 |  0  1   0   0   0   0   0   4  0  0 |  *  *  *  *   *  *  *   *   *   *  * 40  *  *  * | 0  0  0  0  0  0  0   0  0  2  0  2 0  0  0 | 0  0  0  1  2 1 0
.x.3.o.3.o.3.o.    ...      0  5 0 |  0  0  0 10  0 |   0   0   0  0  0 10  0 |  0  0   0   0   0   0   0   0  5  0 |  *  *  *  *   *  *  *   *   *   *  *  * 16  *  * | 0  1  0  0  0  0  0   0  0  0  0  0 1  1  0 | 1  1  0  0  0 0 1
.x.3.o.3.o. ... *c3.o.      0  5 0 |  0  0  0 10  0 |   0   0   0  0  0 10  0 |  0  0   0   0   0   0   0   0  5  0 |  *  *  *  *   *  *  *   *   *   *  *  *  * 16  * | 0  0  1  0  0  0  0   0  0  0  0  0 1  0  1 | 1  0  1  0  0 0 1
.xo3.oo3.oo ...    ...&#x   0  4 1 |  0  0  0  6  4 |   0   0   0  0  0  4  6 |  0  0   0   0   0   0   0   0  1  4 |  *  *  *  *   *  *  *   *   *   *  *  *  *  * 80 | 0  0  0  0  0  1  0   0  0  0  0  0 0  1  1 | 0  1  1  0  0 0 1
--------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------
o..3o..3o..3x.. *c3o..     16  0 0 | 80  0  0  0  0 | 160   0   0  0  0  0  0 | 80 40   0   0   0   0   0   0  0  0 | 16 10  0  0   0  0  0   0   0   0  0  0  0  0  0 | 1  *  *  *  *  *  *   *  *  *  *  * *  *  * | 1  0  0  0  0 1 0
ox.3oo.3oo.3xo.    ...&#x   5  5 0 | 10 20  0 10  0 |  10  30  30  0  0 10  0 |  5  0  20  30  20   0   0   0  5  0 |  1  0  5 10  10  5  0   0   0   0  0  0  1  0  0 | * 16  *  *  *  *  *   *  *  *  *  * *  *  * | 1  1  0  0  0 0 0
ox.3oo.3oo. ... *c3oo.&#x   1  5 0 |  0  5  0 10  0 |   0  10   0  0  0 10  0 |  0  0  10   0   0   0   0   0  5  0 |  0  0  5  0   0  0  0   0   0   0  0  0  0  1  0 | *  * 16  *  *  *  *   *  *  *  *  * *  *  * | 1  0  1  0  0 0 0
ox. ... oo.3xo. *c3oo.&#x   4  2 0 |  6  8  0  1  0 |   4   4  12  0  0  0  0 |  0  1   0   6   8   0   0   0  0  0 |  0  0  0  0   4  0  2   0   0   0  0  0  0  0  0 | *  *  * 40  *  *  *   *  *  *  *  * *  *  * | 1  0  0  1  0 0 0
... oo.3oo.3xo. *c3oo.&#x   8  1 0 | 24  8  0  0  0 |  32   0  24  0  0  0  0 |  8  8   0   0  32   0   0   0  0  0 |  0  1  0  0   0  8  8   0   0   0  0  0  0  0  0 | *  *  *  * 10  *  *   *  *  *  *  * *  *  * | 1  0  0  0  1 0 0
oxo3ooo3ooo ...    ...&#x   1  4 1 |  0  4  1  6  4 |   0   6   0  4  0  4  6 |  0  0   4   0   0   6   0   0  1  4 |  0  0  1  0   0  0  0   4   0   0  0  0  0  0  1 | *  *  *  *  * 80  *   *  *  *  *  * *  *  * | 0  1  1  0  0 0 0
oxo3ooo ... xoo    ...&#x   2  3 1 |  1  6  2  3  3 |   0   6   3  6  1  1  3 |  0  0   2   3   0   6   3   0  0  1 |  0  0  0  1   0  0  0   2   3   0  0  0  0  0  0 | *  *  *  *  *  * 80   *  *  *  *  * *  *  * | 0  2  0  0  0 0 0
oxo ... ooo3xoo    ...&#x   3  2 1 |  3  6  3  1  2 |   1   3   6  6  3  0  1 |  0  0   0   3   2   3   6   1  0  0 |  0  0  0  0   1  0  0   0   3   2  0  0  0  0  0 | *  *  *  *  *  *  * 160  *  *  *  * *  *  * | 0  1  0  1  0 0 0
... ooo3ooo3xoo    ...&#x   4  1 1 |  6  4  4  0  1 |   4   0   6  4  6  0  0 |  1  0   0   0   4   0   6   4  0  0 |  0  0  0  0   0  1  0   0   0   4  1  0  0  0  0 | *  *  *  *  *  *  *   * 80  *  *  * *  *  * | 0  1  0  0  1 0 0
... ... ooo3xoo *c3ooo&#x   4  1 1 |  6  4  4  0  1 |   4   0   6  4  6  0  0 |  0  1   0   0   4   0   6   4  0  0 |  0  0  0  0   0  0  1   0   0   4  0  1  0  0  0 | *  *  *  *  *  *  *   *  * 80  *  * *  *  * | 0  0  0  1  1 0 0
o.o3o.o3o.o3x.o    ...&#x   5  0 1 | 10  0  5  0  0 |  10   0   0  0 10  0  0 |  5  0   0   0   0   0   0  10  0  0 |  1  0  0  0   0  0  0   0   0   0  5  0  0  0  0 | *  *  *  *  *  *  *   *  *  * 16  * *  *  * | 0  1  0  0  0 1 0
... o.o3o.o3x.o *c3o.o&#x   8  0 1 | 24  0  8  0  0 |  32   0   0  0 24  0  0 |  8  8   0   0   0   0   0  32  0  0 |  0  1  0  0   0  0  0   0   0   0  8  8  0  0  0 | *  *  *  *  *  *  *   *  *  *  * 10 *  *  * | 0  0  0  0  1 1 0
.x.3.o.3.o.3.o. *c3.o.      0 10 0 |  0  0  0 40  0 |   0   0   0  0  0 80  0 |  0  0   0   0   0   0   0   0 80  0 |  0  0  0  0   0  0  0   0   0   0  0  0 16 16  0 | *  *  *  *  *  *  *   *  *  *  *  * 1  *  * | 1  0  0  0  0 0 1
.xo3.oo3.oo3.oo    ...&#x   0  5 1 |  0  0  0 10  5 |   0   0   0  0  0 10 10 |  0  0   0   0   0   0   0   0  5 10 |  0  0  0  0   0  0  0   0   0   0  0  0  1  0  5 | *  *  *  *  *  *  *   *  *  *  *  * * 16  * | 0  1  0  0  0 0 1
.xo3.oo3.oo ... *c3.oo&#x   0  5 1 |  0  0  0 10  5 |   0   0   0  0  0 10 10 |  0  0   0   0   0   0   0   0  5 10 |  0  0  0  0   0  0  0   0   0   0  0  0  0  1  5 | *  *  *  *  *  *  *   *  *  *  *  * *  * 16 | 0  0  1  0  0 0 1
--------------------------+---------+----------------+-------------------------+-------------------------------------+--------------------------------------------------+---------------------------------------------+------------------
ox.3oo.3oo.3xo. *c3oo.&#x  16 10 0 | 80 80  0 40  0 | 160 160 240  0  0 80  0 | 80 40 160 240 320   0   0   0 80  0 | 16 10 80 80 160 80 80   0   0   0  0  0 16 16  0 | 1 16 16 40 10  0  0   0  0  0  0  0 1  0  0 | 1  *  *  *  * * *
oxo3ooo3ooo3xoo    ...&#x   5  5 1 | 10 20  5 10  5 |  10  30  30 20 10 10 10 |  5  0  20  30  20  30  30  10  5 10 |  1  0  5 10  10  5  0  20  30  20  5  0  1  0  5 | 0  1  0  0  0  5 10  10  5  0  1  0 0  1  0 | * 16  *  *  * * *
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