Acronym dedjak
Name decadiminished icosiheptaheptacontidipeton
Circumradius sqrt(2/3) = 0.816497
Lace city
in approx. ASCII-art
o   p  
  .   d
o   p  

where:
o = o3o3o3o (point)
p = x3o3o3o (pen)
d = o3o3o3x (dual pen)
l    t     
           
.    T    p
           
l    .     

where:
l = x o3o3o (line)
t = o x3o3o (tet)
T = x o3o3x (inv tepe)
p = o o3o3o (point)
Face vector 17, 86, 205, 255, 158, 39
Confer
uniform relative:
jak   hixip  
related segmentopeta:
penaf  
general polytopal classes:
segmentopeta  

This decadiminished jak can also be obtained as external blend of penaf and hixip.


Incidence matrix according to Dynkin symbol

oxx oxo3ooo3ooo3xoo&#xt   → height(1,2) = sqrt(3/20) = 0.387298
                            height(2,3) = sqrt(3/5) = 0.774597
(pen || inv. pseudo penp || lacing-para line)

o.. o..3o..3o..3o..     | 5  * * |  4  8 0  0  0 0 |  6  4 12 24  0  0 0  0 | 4  6 12  8 24 24  0  0  0  0 | 1  4 12 12  2  8 12  8 0 0  0  0 | 1  4  6 4 2 0 0
.o. .o.3.o.3.o.3.o.     | * 10 * |  0  4 1  4  1 0 |  0  4 12  6  4  6 1  4 | 0 12  6 12 12  4  6  4  4  6 | 0 12 12  4  4  6  4  1 4 1  6  4 | 4  6  4 1 1 4 1
..o ..o3..o3..o3..o     | *  * 2 |  0  0 0  0  5 0 |  0  0  0  0  0  0 5 10 | 0  0  0  0  0  0  0  0 10 10 | 0  0  0  0  0  0  0  0 0 0 10  5 | 0  0  0 0 0 5 1
------------------------+--------+-----------------+------------------------+------------------------------+----------------------------------+----------------
... ... ... ... x..     | 2  0 0 | 10  * *  *  * * |  3  0  0  6  0  0 0  0 | 3  0  3  0  6  6  0  0  0  0 | 1  0  3  6  0  2  6  6 0 0  0  0 | 0  1  3 3 2 0 0
oo. oo.3oo.3oo.3oo.&#x  | 1  1 0 |  * 40 *  *  * * |  0  1  3  3  0  0 0  0 | 0  3  3  3  6  3  0  0  0  0 | 0  3  6  3  1  3  3  1 0 0  0  0 | 1  3  3 1 1 0 0
.x. ... ... ... ...     | 0  2 0 |  *  * 5  *  * * |  0  4  0  0  4  0 1  0 | 0 12  6  0  0  0  6  0  4  0 | 0 12 12  4  0  0  0  0 4 0  6  0 | 4  6  4 1 0 4 0
... .x. ... ... ...     | 0  2 0 |  *  * * 20  * * |  0  0  3  0  1  3 0  1 | 0  3  0  6  3  0  3  3  1  3 | 0  6  3  0  3  3  1  0 3 1  3  3 | 3  3  1 0 1 3 1
.oo .oo3.oo3.oo3.oo&#x  | 0  1 1 |  *  * *  * 10 * |  0  0  0  0  0  0 1  4 | 0  0  0  0  0  0  0  0  4  6 | 0  0  0  0  0  0  0  0 0 0  6  4 | 0  0  0 0 0 4 1
..x ... ... ... ...     | 0  0 0 |  *  * *  *  * 1   0  0  0  0  0  0 5  0 | 0  0  0  0  0  0  0  0 10  0 | 0  0  0  0  0  0  0  0 0 0 10  0 | 0  0  0 0 0 5 0
------------------------+--------+-----------------+------------------------+------------------------------+----------------------------------+----------------
... ... ... o..3x..     | 3  0 0 |  3  0 0  0  0 0 | 10  *  *  *  *  * *  * | 2  0  0  0  0  4  0  0  0  0 | 1  0  0  2  0  0  2  4 0 0  0  0 | 0  0  1 2 2 0 0
ox. ... ... ... ...&#x  | 1  2 0 |  0  2 1  0  0 0 |  * 20  *  *  *  * *  * | 0  3  3  0  0  0  0  0  0  0 | 0  3  6  3  0  0  0  0 0 0  0  0 | 1  3  3 1 0 0 0
... ox. ... ... ...&#x  | 1  2 0 |  0  2 0  1  0 0 |  *  * 60  *  *  * *  * | 0  1  0  2  2  0  0  0  0  0 | 0  2  2  0  1  2  1  0 0 0  0  0 | 1  2  1 0 1 0 0
... ... ... ... xo.&#x  | 2  1 0 |  1  2 0  0  0 0 |  *  *  * 60  *  * *  * | 0  0  1  0  2  2  0  0  0  0 | 0  0  2  2  0  1  2  1 0 0  0  0 | 0  1  2 1 1 0 0
.x. .x. ... ... ...     | 0  4 0 |  0  0 2  2  0 0 |  *  *  *  * 10  * *  * | 0  3  0  0  0  0  3  0  1  0 | 0  6  3  0  0  0  0  0 3 0  3  0 | 3  3  1 0 0 3 0
... .x.3.o. ... ...     | 0  3 0 |  0  0 0  3  0 0 |  *  *  *  *  * 20 *  * | 0  0  0  2  0  0  1  2  0  1 | 0  2  0  0  2  1  0  0 2 1  1  2 | 2  1  0 0 1 2 1
.xx ... ... ... ...&#x  | 0  2 2 |  0  0 1  0  2 1 |  *  *  *  *  *  * 5  *  0  0  0  0  0  0  0  0  4  0 | 0  0  0  0  0  0  0  0 0 0  6  0 | 0  0  0 0 0 4 0
... .xo ... ... ...&#x  | 0  2 1 |  0  0 0  1  2 0 |  *  *  *  *  *  * * 20 | 0  0  0  0  0  0  0  0  1  3 | 0  0  0  0  0  0  0  0 0 0  3  3 | 0  0  0 0 0 3 1
------------------------+--------+-----------------+------------------------+------------------------------+----------------------------------+----------------
... ... o..3o..3x..      4  0 0 |  6  0 0  0  0 0 |  4  0  0  0  0  0 0  0 | 5  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  0  2 0 0  0  0 | 0  0  0 1 2 0 0
ox. ox. ... ... ...&#x   1  4 0 |  0  4 2  2  0 0 |  0  2  2  0  1  0 0  0 | * 30  *  *  *  *  *  *  *  * | 0  2  2  0  0  0  0  0 0 0  0  0 | 1  2  1 0 0 0 0
ox. ... ... ... xo.&#x   2  2 0 |  1  4 1  0  0 0 |  0  2  0  2  0  0 0  0 | *  * 30  *  *  *  *  *  *  * | 0  0  2  2  0  0  0  0 0 0  0  0 | 0  1  2 1 0 0 0
... ox.3oo. ... ...&#x   1  3 0 |  0  3 0  3  0 0 |  0  0  3  0  0  1 0  0 | *  *  * 40  *  *  *  *  *  * | 0  1  0  0  1  1  0  0 0 0  0  0 | 1  1  0 0 1 0 0
... ox. ... ... xo.&#x   2  2 0 |  1  4 0  1  0 0 |  0  0  2  2  0  0 0  0 | *  *  *  * 60  *  *  *  *  * | 0  0  1  0  0  1  1  0 0 0  0  0 | 0  1  1 0 1 0 0
... ... ... oo.3xo.&#x   3  1 0 |  3  3 0  0  0 0 |  1  0  0  3  0  0 0  0 | *  *  *  *  * 40  *  *  *  * | 0  0  0  1  0  0  1  1 0 0  0  0 | 0  0  1 1 1 0 0
.x. .x.3.o. ... ...      0  6 0 |  0  0 3  6  0 0 |  0  0  0  0  3  2 0  0 | *  *  *  *  *  * 10  *  *  * | 0  2  0  0  0  0  0  0 2 0  1  0 | 2  1  0 0 0 2 0
... .x.3.o.3.o. ...      0  4 0 |  0  0 0  6  0 0 |  0  0  0  0  0  4 0  0 | *  *  *  *  *  *  * 10  *  * | 0  0  0  0  1  0  0  0 1 1  0  1 | 1  0  0 0 1 1 1
.xx .xo ... ... ...&#x   0  4 2 |  0  0 2  2  4 1 |  0  0  0  0  1  0 2  2 | *  *  *  *  *  *  *  * 10  * | 0  0  0  0  0  0  0  0 0 0  3  0 | 0  0  0 0 0 3 0
... .xo3.oo ... ...&#x   0  3 1 |  0  0 0  3  3 0 |  0  0  0  0  0  1 0  3 | *  *  *  *  *  *  *  *  * 20 | 0  0  0  0  0  0  0  0 0 0  1  2 | 0  0  0 0 0 2 1
------------------------+--------+-----------------+------------------------+------------------------------+----------------------------------+----------------
... o..3o..3o..3x..      5  0 0 | 10  0 0  0  0 0 | 10  0  0  0  0  0 0  0 | 5  0  0  0  0  0  0  0  0  0 | 1  *  *  *  *  *  *  * * *  *  * | 0  0  0 0 2 0 0
ox. ox.3oo. ... ...&#x   1  6 0 |  0  6 3  6  0 0 |  0  3  6  0  3  2 0  0 | 0  3  0  2  0  0  1  0  0  0 | * 20  *  *  *  *  *  * * *  *  * | 1  1  0 0 0 0 0
ox. ox. ... ... xo.&#x   2  4 0 |  1  8 2  2  0 0 |  0  4  4  4  1  0 0  0 | 0  2  2  0  2  0  0  0  0  0 | *  * 30  *  *  *  *  * * *  *  * | 0  1  1 0 0 0 0
ox. ... ... oo.3xo.&#x   3  2 0 |  3  6 1  0  0 0 |  1  3  0  6  0  0 0  0 | 0  0  3  0  0  2  0  0  0  0 | *  *  * 20  *  *  *  * * *  *  * | 0  0  1 1 0 0 0
... ox.3oo.3oo. ...&#x   1  4 0 |  0  4 0  6  0 0 |  0  0  6  0  0  4 0  0 | 0  0  0  4  0  0  0  1  0  0 | *  *  *  * 10  *  *  * * *  *  * | 1  0  0 0 1 0 0
... ox.3oo. ... xo.&#x   2  3 0 |  1  6 0  3  0 0 |  0  0  6  3  0  1 0  0 | 0  0  0  2  3  0  0  0  0  0 | *  *  *  *  * 20  *  * * *  *  * | 0  1  0 0 1 0 0
... ox. ... oo.3xo.&#x   3  2 0 |  3  6 0  1  0 0 |  1  0  3  6  0  0 0  0 | 0  0  0  0  3  2  0  0  0  0 | *  *  *  *  *  * 20  * * *  *  * | 0  0  1 0 1 0 0
... ... oo.3oo.3xo.&#x   4  1 0 |  6  4 0  0  0 0 |  4  0  0  6  0  0 0  0 | 1  0  0  0  0  4  0  0  0  0 | *  *  *  *  *  *  * 10 * *  *  * | 0  0  0 1 1 0 0
.x. .x.3.o.3.o. ...      0  8 0 |  0  0 4 12  0 0 |  0  0  0  0  6  8 0  0 | 0  0  0  0  0  0  4  2  0  0 | *  *  *  *  *  *  *  * 5 *  *  * | 1  0  0 0 0 1 0   - here it is concave!
... .x.3.o.3.o.3.o.      0  5 0 |  0  0 0 10  0 0 |  0  0  0  0  0 10 0  0 | 0  0  0  0  0  0  0  5  0  0 | *  *  *  *  *  *  *  * * 2  *  * | 0  0  0 0 1 0 1
.xx .xo3.oo ... ...&#x   0  6 2 |  0  0 3  6  6 1 |  0  0  0  0  3  2 3  6 | 0  0  0  0  0  0  1  0  3  2 | *  *  *  *  *  *  *  * * * 10  * | 0  0  0 0 0 2 0
... .xo3.oo3.oo ...&#x   0  4 1 |  0  0 0  6  4 0 |  0  0  0  0  0  4 0  6 | 0  0  0  0  0  0  0  1  0  4 | *  *  *  *  *  *  *  * * *  * 10 | 0  0  0 0 0 1 1
------------------------+--------+-----------------+------------------------+------------------------------+----------------------------------+----------------
ox. ox.3oo.3oo. ...&#x   1  8 0 |  0  8 4 12  0 0 |  0  4 12  0  6  8 0  0 | 0  6  0  8  0  0  4  2  0  0 | 0  4  0  0  2  0  0  0 1 0  0  0 | 5  *  * * * * *
ox. ox.3oo. ... xo.&#x   2  6 0 |  1 12 3  6  0 0 |  0  6 12  6  3  2 0  0 | 0  6  3  4  6  0  1  0  0  0 | 0  2  3  0  0  2  0  0 0 0  0  0 | * 10  * * * * *
ox. ox. ... oo.3xo.&#x   3  4 0 |  3 12 2  2  0 0 |  1  6  6 12  1  0 0  0 | 0  3  6  0  6  4  0  0  0  0 | 0  0  3  2  0  0  2  0 0 0  0  0 | *  * 10 * * * *
ox. ... oo.3oo.3xo.&#x   4  2 0 |  6  8 1  0  0 0 |  4  4  0 12  0  0 0  0 | 1  0  6  0  0  8  0  0  0  0 | 0  0  0  4  0  0  0  2 0 0  0  0 | *  *  * 5 * * *
... ox.3oo.3oo.3xo.&#x   5  5 0 | 10 20 0 10  0 0 | 10  0 30 30  0 10 0  0 | 5  0  0 20 30 20  0  5  0  0 | 1  0  0  0  5 10 10  5 0 1  0  0 | *  *  * * 2 * *
.xx .xo3.oo3.oo ...&#x   0  8 2 |  0  0 4 12  8 1 |  0  0  0  0  6  8 4 12 | 0  0  0  0  0  0  4  2  6  8 | 0  0  0  0  0  0  0  0 1 0  4  2 | *  *  * * * 5 *
... .xo3.oo3.oo3.oo&#x   0  5 1 |  0  0 0 10  5 0 |  0  0  0  0  0 10 0 10 | 0  0  0  0  0  0  0  5  0 10 | 0  0  0  0  0  0  0  0 0 1  0  5 | *  *  * * * * 2

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