Acronym traltisdip
Name triangle atop gyrated tisdip
Circumradius 1
Lace city
in approx. ASCII-art
      x o o            o o o
                            
                            
o x x            x x x      
Confer
related segmentotera:
cubasquasc   squippyippy  
general polytopal classes:
segmentotera  

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

© 2004-2019
top of page