Acronym traltisdip
Name triangle atop gyrated tisdip
Circumradius 1
Lace city
in approx. ASCII-art 
               _+---------------- squasc
             _/              _+-- cubpy
            /               /

      x o o            o o o		-- x3o o4o ({3})
                            
                            
o x x            x x x      		-- o3x x4o (tisdip)

     o o3x     		-- x3o o4o ({3})
               
x x3o     x x3o		-- o3x x4o (tisdip)

               \_
                 +-- traf
Face vector 15, 51, 68, 41, 11
Confer
related segmentotera:
cubasquasc   squippyippy  
general polytopal classes:
segmentotera   lace simplices  

This polyteron can be seen also as an external blend of cubasquasc and squippyippy.


Incidence matrix according to Dynkin symbol

xo3ox ox4oo&#x   → height = 1/sqrt(6) = 0.408248

o.3o. o.4o.    | 3  * ♦ 2  8  0  0 | 1  8  4  8 0  0 0 | 4  8  4 2 0 0 | 4 2 1 0
.o3.o .o4.o    | * 12 | 0  2  2  2 | 0  1  2  2 1  4 1 | 1  2  4 2 2 2 | 2 1 2 1
---------------+------+------------+-------------------+---------------+--------
x. .. .. ..    | 2  0 | 3  *  *  * | 1  4  0  0 0  0 0 | 4  4  0 0 0 0 | 4 1 0 0
oo3oo oo4oo&#x | 1  1 | * 24  *  * | 0  1  1  2 0  0 0 | 1  2  2 1 0 0 | 2 1 1 0
.. .x .. ..    | 0  2 | *  * 12  * | 0  0  1  0 1  2 0 | 1  0  2 0 2 1 | 2 0 1 1
.. .. .x ..    | 0  2 | *  *  * 12 | 0  0  0  2 0  2 1 | 0  1  2 2 1 2 | 1 1 2 1
---------------+------+------------+-------------------+---------------+--------
x.3o. .. ..    | 3  0 | 3  0  0  0 | 1  *  *  * *  * * | 4  0  0 0 0 0 | 4 0 0 0
xo .. .. ..&#x | 2  1 | 1  2  0  0 | * 12  *  * *  * * | 1  2  0 0 0 0 | 2 1 0 0
.. ox .. ..&#x | 1  2 | 0  2  1  0 | *  * 12  * *  * * | 1  0  2 0 0 0 | 2 0 1 0
.. .. ox ..&#x | 1  2 | 0  2  0  1 | *  *  * 24 *  * * | 0  1  1 1 0 0 | 1 1 1 0
.o3.x .. ..    | 0  3 | 0  0  3  0 | *  *  *  * 4  * * | 1  0  0 0 2 0 | 2 0 0 1
.. .x .x ..    | 0  4 | 0  0  2  2 | *  *  *  * * 12 * | 0  0  1 0 1 1 | 1 0 1 1
.. .. .x4.o    | 0  4 | 0  0  0  4 | *  *  *  * *  * 3 | 0  0  0 2 0 2 | 0 1 2 1
---------------+------+------------+-------------------+---------------+--------
xo3ox .. ..&#x ♦ 3  3 | 3  6  3  0 | 1  3  3  0 1  0 0 | 4  *  * * * * | 2 0 0 0
xo .. ox ..&#x ♦ 2  2 | 1  4  0  1 | 0  2  0  2 0  0 0 | * 12  * * * * | 1 1 0 0
.. ox ox ..&#x ♦ 1  4 | 0  4  2  2 | 0  0  2  2 0  1 0 | *  * 12 * * * | 1 0 1 0
.. .. ox4oo&#x ♦ 1  4 | 0  4  0  4 | 0  0  0  4 0  0 1 | *  *  * 6 * * | 0 1 1 0
.o3.x .x ..    ♦ 0  6 | 0  0  6  3 | 0  0  0  0 2  3 0 | *  *  * * 4 * | 1 0 0 1
.. .x .x4.o    ♦ 0  8 | 0  0  4  8 | 0  0  0  0 0  4 2 | *  *  * * * 3 | 0 0 1 1
---------------+------+------------+-------------------+---------------+--------
xo3ox ox ..&#x ♦ 3  6 | 3 12  6  3 | 1  6  6  6 2  3 0 | 2  3  3 0 1 0 | 4 * * *
xo .. ox4oo&#x ♦ 2  4 | 1  8  0  4 | 0  4  0  8 0  0 1 | 0  4  0 2 0 0 | * 3 * *
.. ox ox4oo&#x ♦ 1  8 | 0  8  4  8 | 0  0  4  8 0  4 2 | 0  0  4 2 0 1 | * * 3 *
.o3.x .x4.o    ♦ 0 12 | 0  0 12 12 | 0  0  0  0 4 12 3 | 0  0  0 0 4 3 | * * * 1


xo3ox ox ox&#x   → height = 1/sqrt(6) = 0.408248

o.3o. o. o.    | 3  * ♦ 2  8  0 0 0 | 1  8  4  4  4 0 0 0 0 | 4 4 4 2 2 2 0 0 0 | 2 2 2 1 0
.o3.o .o .o    | * 12 | 0  2  2 1 1 | 0  1  2  2  2 1 2 2 1 | 1 1 1 2 2 2 1 1 2 | 1 1 1 2 1
---------------+------+-------------+-----------------------+-------------------+----------
x. .. .. ..    | 2  0 | 3  *  * * * | 1  4  0  0  0 0 0 0 0 | 4 2 2 0 0 0 0 0 0 | 2 2 1 0 0
oo3oo oo oo&#x | 1  1 | * 24  * * * | 0  1  1  1  1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0
.. .x .. ..    | 0  2 | *  * 12 * * | 0  0  1  0  0 1 1 1 0 | 1 0 0 1 1 0 1 1 1 | 1 1 0 1 1
.. .. .x ..    | 0  2 | *  *  * 6 * | 0  0  0  2  0 0 2 0 1 | 0 1 0 2 0 2 1 0 2 | 1 0 1 2 1
.. .. .. .x    | 0  2 | *  *  * * 6 | 0  0  0  0  2 0 0 2 1 | 0 0 1 0 2 2 0 1 2 | 0 1 1 2 1
---------------+------+-------------+-----------------------+-------------------+----------
x.3o. .. ..    | 3  0 | 3  0  0 0 0 | 1  *  *  *  * * * * * | 4 0 0 0 0 0 0 0 0 | 2 2 0 0 0
xo .. .. ..&#x | 2  1 | 1  2  0 0 0 | * 12  *  *  * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0
.. ox .. ..&#x | 1  2 | 0  2  1 0 0 | *  * 12  *  * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0
.. .. ox ..&#x | 1  2 | 0  2  0 1 0 | *  *  * 12  * * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0
.. .. .. ox&#x | 1  2 | 0  2  0 0 1 | *  *  *  * 12 * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0
.o3.x .. ..    | 0  3 | 0  0  3 0 0 | *  *  *  *  * 4 * * * | 1 0 0 0 0 0 1 1 0 | 1 1 0 0 1
.. .x .x ..    | 0  4 | 0  0  2 2 0 | *  *  *  *  * * 6 * * | 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1
.. .x .. .x    | 0  4 | 0  0  2 0 2 | *  *  *  *  * * * 6 * | 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1
.. .. .x .x    | 0  4 | 0  0  0 2 2 | *  *  *  *  * * * * 3 | 0 0 0 0 0 2 0 0 2 | 0 0 1 2 1
---------------+------+-------------+-----------------------+-------------------+----------
xo3ox .. ..&#x ♦ 3  3 | 3  6  3 0 0 | 1  3  3  0  0 1 0 0 0 | 4 * * * * * * * * | 1 1 0 0 0
xo .. ox ..&#x ♦ 2  2 | 1  4  0 1 0 | 0  2  0  2  0 0 0 0 0 | * 6 * * * * * * * | 1 0 1 0 0
xo .. .. ox&#x ♦ 2  2 | 1  4  0 0 1 | 0  2  0  0  2 0 0 0 0 | * * 6 * * * * * * | 0 1 1 0 0
.. ox ox ..&#x ♦ 1  4 | 0  4  2 2 0 | 0  0  2  2  0 0 1 0 0 | * * * 6 * * * * * | 1 0 0 1 0
.. ox .. ox&#x ♦ 1  4 | 0  4  2 0 2 | 0  0  2  0  2 0 0 1 0 | * * * * 6 * * * * | 0 1 0 1 0
.. .. ox ox&#x ♦ 1  4 | 0  4  0 2 2 | 0  0  0  2  2 0 0 0 1 | * * * * * 6 * * * | 0 0 1 1 0
.o3.x .x ..    ♦ 0  6 | 0  0  6 3 0 | 0  0  0  0  0 2 3 0 0 | * * * * * * 2 * * | 1 0 0 0 1
.o3.x .. .x    ♦ 0  6 | 0  0  6 0 3 | 0  0  0  0  0 2 0 3 0 | * * * * * * * 2 * | 0 1 0 0 1
.. .x .x .x    ♦ 0  8 | 0  0  4 4 4 | 0  0  0  0  0 0 2 2 2 | * * * * * * * * 3 | 0 0 0 1 1
---------------+------+-------------+-----------------------+-------------------+----------
xo3ox ox ..&#x ♦ 3  6 | 3 12  6 3 0 | 1  6  6  6  0 2 3 0 0 | 2 3 0 3 0 0 1 0 0 | 2 * * * *
xo3ox .. ox&#x ♦ 3  6 | 3 12  6 0 3 | 1  6  6  0  6 2 0 3 0 | 2 0 3 0 3 0 0 1 0 | * 2 * * *
xo .. ox ox&#x ♦ 2  4 | 1  8  0 2 2 | 0  4  0  4  4 0 0 0 1 | 0 2 2 0 0 2 0 0 0 | * * 3 * *
.. ox ox ox&#x ♦ 1  8 | 0  8  4 4 4 | 0  0  4  4  4 0 2 2 2 | 0 0 0 2 2 2 0 0 1 | * * * 3 *
.o3.x .x .x    ♦ 0 12 | 0  0 12 6 6 | 0  0  0  0  0 4 6 6 3 | 0 0 0 0 0 0 2 2 3 | * * * * 1


oxx oxx3xoo&#x   → height(1,2) = height(1,3) = sqrt(5/12) = 0.645497
                   height(2,3) = 1

o.. o..3o..    | 3 * * ♦ 2  4  4 0 0 0 0 0 | 1 2 2 4  4 2 2 4 0 0 0 0 0 0 | 1 2 2 2 2 4 1 2 2 0 0 0 0 | 1 1 2 2 1 0
.o. .o.3.o.    | * 6 * | 0  2  0 1 2 1 0 0 | 0 2 2 1  2 0 0 0 2 1 1 2 0 0 | 2 1 1 2 2 1 0 0 0 1 2 1 0 | 1 2 1 1 0 1
..o ..o3..o    | * * 6 | 0  0  2 0 0 1 1 2 | 0 0 0 0  2 2 2 1 0 0 1 2 2 1 | 0 0 0 2 2 1 2 1 1 0 2 1 1 | 0 2 1 1 1 1
---------------+-------+-------------------+------------------------------+---------------------------+------------
... ... x..    | 2 0 0 | 3  *  * * * * * * | 1 0 0 2  0 0 0 2 0 0 0 0 0 0 | 0 1 2 0 0 2 0 1 2 0 0 0 0 | 1 0 1 2 1 0
oo. oo.3oo.&#x | 1 1 0 | * 12  * * * * * * | 0 1 1 1  1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0
o.o o.o3o.o&#x | 1 0 1 | *  * 12 * * * * * | 0 0 0 0  1 1 1 1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x. ... ...    | 0 2 0 | *  *  * 3 * * * * | 0 2 0 0  0 0 0 0 2 0 1 0 0 0 | 2 1 0 2 0 0 0 0 0 1 2 0 0 | 1 2 1 0 0 1
... .x. ...    | 0 2 0 | *  *  * * 6 * * * | 0 0 1 0  0 0 0 0 1 1 0 1 0 0 | 1 0 1 0 1 0 0 0 0 1 1 1 0 | 1 1 0 1 0 1
.oo .oo3.oo&#x | 0 1 1 | *  *  * * * 6 * * | 0 0 0 0  2 0 0 0 0 0 1 2 0 0 | 0 0 0 2 2 1 0 0 0 0 2 1 0 | 0 2 1 1 0 1
..x ... ...    | 0 0 2 | *  *  * * * * 3 * | 0 0 0 0  0 2 0 0 0 0 1 0 2 0 | 0 0 0 2 0 0 2 1 0 0 2 0 1 | 0 2 1 0 1 1
... ..x ...    | 0 0 2 | *  *  * * * * * 6 | 0 0 0 0  0 0 1 0 0 0 0 1 1 1 | 0 0 0 0 1 0 1 0 1 0 1 1 1 | 0 1 0 1 1 1
---------------+-------+-------------------+------------------------------+---------------------------+------------
... o..3x..    | 3 0 0 | 3  0  0 0 0 0 0 0 | 1 * * *  * * * * * * * * * * | 0 0 2 0 0 0 0 0 2 0 0 0 0 | 1 0 0 2 1 0
ox. ... ...&#x | 1 2 0 | 0  2  0 1 0 0 0 0 | * 6 * *  * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... ox. ...&#x | 1 2 0 | 0  2  0 0 1 0 0 0 | * * 6 *  * * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
... ... xo.&#x | 2 1 0 | 1  2  0 0 0 0 0 0 | * * * 6  * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo ooo3ooo&#x | 1 1 1 | 0  1  1 0 0 1 0 0 | * * * * 12 * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x ... ...&#x | 1 0 2 | 0  0  2 0 0 0 1 0 | * * * *  * 6 * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
... o.x ...&#x | 1 0 2 | 0  0  2 0 0 0 0 1 | * * * *  * * 6 * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
... ... x.o&#x | 2 0 1 | 1  0  2 0 0 0 0 0 | * * * *  * * * 6 * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x. .x. ...    | 0 4 0 | 0  0  0 2 2 0 0 0 | * * * *  * * * * 3 * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 | 1 1 0 0 0 1
... .x.3.o.    | 0 3 0 | 0  0  0 0 3 0 0 0 | * * * *  * * * * * 2 * * * * | 0 0 1 0 0 0 0 0 0 1 0 1 0 | 1 0 0 1 0 1
.xx ... ...&#x | 0 2 2 | 0  0  0 1 0 2 1 0 | * * * *  * * * * * * 3 * * * | 0 0 0 2 0 0 0 0 0 0 2 0 0 | 0 2 1 0 0 1
... .xx ...&#x | 0 2 2 | 0  0  0 0 1 2 0 1 | * * * *  * * * * * * * 6 * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 1 0 1 0 1
..x ..x ...    | 0 0 4 | 0  0  0 0 0 0 2 2 | * * * *  * * * * * * * * 3 * | 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 1 0 0 1 1
... ..x3..o    | 0 0 3 | 0  0  0 0 0 0 0 3 | * * * *  * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+-------------------+------------------------------+---------------------------+------------
ox. ox. ...&#x ♦ 1 4 0 | 0  4  0 2 2 0 0 0 | 0 2 2 0  0 0 0 0 1 0 0 0 0 0 | 3 * * * * * * * * * * * * | 1 1 0 0 0 0
ox. ... xo.&#x ♦ 2 2 0 | 1  4  0 1 0 0 0 0 | 0 2 0 2  0 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * | 1 0 1 0 0 0
... ox.3xo.&#x ♦ 3 3 0 | 3  6  0 0 3 0 0 0 | 1 0 3 3  0 0 0 0 0 1 0 0 0 0 | * * 2 * * * * * * * * * * | 1 0 0 1 0 0
oxx ... ...&#x ♦ 1 2 2 | 0  2  2 1 0 2 1 0 | 0 1 0 0  2 1 0 0 0 0 1 0 0 0 | * * * 6 * * * * * * * * * | 0 1 1 0 0 0
... oxx ...&#x ♦ 1 2 2 | 0  2  2 0 1 2 0 1 | 0 0 1 0  2 0 1 0 0 0 0 1 0 0 | * * * * 6 * * * * * * * * | 0 1 0 1 0 0
... ... xoo&#x ♦ 2 1 1 | 1  2  2 0 0 1 0 0 | 0 0 0 1  2 0 0 1 0 0 0 0 0 0 | * * * * * 6 * * * * * * * | 0 0 1 1 0 0
o.x o.x ...&#x ♦ 1 0 4 | 0  0  4 0 0 0 2 2 | 0 0 0 0  0 2 2 0 0 0 0 0 1 0 | * * * * * * 3 * * * * * * | 0 1 0 0 1 0
o.x ... x.o&#x ♦ 2 0 2 | 1  0  4 0 0 0 1 0 | 0 0 0 0  0 2 0 2 0 0 0 0 0 0 | * * * * * * * 3 * * * * * | 0 0 1 0 1 0
... o.x3x.o&#x ♦ 3 0 3 | 3  0  6 0 0 0 0 3 | 1 0 0 0  0 0 3 3 0 0 0 0 0 1 | * * * * * * * * 2 * * * * | 0 0 0 1 1 0
.x. .x.3.o.    ♦ 0 6 0 | 0  0  0 3 6 0 0 0 | 0 0 0 0  0 0 0 0 3 2 0 0 0 0 | * * * * * * * * * 1 * * * | 1 0 0 0 0 1
.xx .xx ...&#x ♦ 0 4 4 | 0  0  0 2 2 4 2 2 | 0 0 0 0  0 0 0 0 1 0 2 2 1 0 | * * * * * * * * * * 3 * * | 0 1 0 0 0 1
... .xx3.oo&#x ♦ 0 3 3 | 0  0  0 0 3 3 0 3 | 0 0 0 0  0 0 0 0 0 1 0 3 0 1 | * * * * * * * * * * * 2 * | 0 0 0 1 0 1
..x ..x3..o    ♦ 0 0 6 | 0  0  0 0 0 0 3 6 | 0 0 0 0  0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------------+-------+-------------------+------------------------------+---------------------------+------------
ox. ox.3xo.&#x ♦ 3 6 0 | 3 12  0 3 6 0 0 0 | 1 6 6 6  0 0 0 0 3 2 0 0 0 0 | 3 3 2 0 0 0 0 0 0 1 0 0 0 | 1 * * * * *
oxx oxx ...&#x ♦ 1 4 4 | 0  4  4 2 2 4 2 2 | 0 2 2 0  4 2 2 0 1 0 2 2 1 0 | 1 0 0 2 2 0 1 0 0 0 1 0 0 | * 3 * * * *
oxx ... xoo&#x ♦ 2 2 2 | 1  4  4 1 0 2 1 0 | 0 2 0 2  4 2 0 2 0 0 1 0 0 0 | 0 1 0 2 0 2 0 1 0 0 0 0 0 | * * 3 * * *
... oxx3xoo&#x ♦ 3 3 3 | 3  6  6 0 3 3 0 3 | 1 0 3 3  6 0 3 3 0 1 0 3 0 1 | 0 0 1 0 3 3 0 0 1 0 0 1 0 | * * * 2 * *
o.x o.x3x.o&#x ♦ 3 0 6 | 3  0 12 0 0 0 3 6 | 1 0 0 0  0 6 6 6 0 0 0 0 3 2 | 0 0 0 0 0 0 3 3 2 0 0 0 1 | * * * * 1 *
.xx .xx3.oo&#x ♦ 0 6 6 | 0  0  0 3 6 6 3 6 | 0 0 0 0  0 0 0 0 3 2 3 6 3 2 | 0 0 0 0 0 0 0 0 0 1 3 2 1 | * * * * * 1

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