Acronym tridafup
Name triangular duoantifastegiaprism,
triddip atop bidual triddip,
central segment of vertex first dot
Circumradius sqrt(3)/2 = 0.866025
Coordinates
  • (1/2, 1/2, -1/sqrt(12), -1/sqrt(12), 1/sqrt(12))   & all changes of sign in first 2 coords & simultanuous changes of sign in others
  • (0, 0, 1/sqrt(3), 1/sqrt(3), 1/sqrt(12))                & all changes of sign in first 2 coords & simultanuous changes of sign in others
  • (1/2, 0, -1/sqrt(12), -1/sqrt(3), 1/sqrt(12))         & all changes of sign in first 2 coords & simultanuous changes of sign in others
  • (0, 1/2, 1/sqrt(3), 1/sqrt(12), 1/sqrt(12))           & all changes of sign in first 2 coords & simultanuous changes of sign in others
Confer
uniform relative:
dot  
more general:
n,m-dafup  
general polytopal classes:
segmentotera   scaliform  

Incidence matrix according to Dynkin symbol

xo3ox xo3ox&#x   → height = 1/sqrt(3) = 0.577350
(triddip || bidual triddip)

o.3o. o.3o.    | 9 * | 2 2  4 0 0 | 1 4 1  4  2  4  2 0 0 0 | 2 2 2 4 2 2 1 2 0 0 | 1 2 1 2 1 0
.o3.o .o3.o    | * 9 | 0 0  4 2 2 | 0 0 0  2  4  2  4 1 4 1 | 0 0 2 1 2 2 4 2 2 2 | 0 1 2 1 2 1
---------------+-----+------------+-------------------------+---------------------+------------
x. .. .. ..    | 2 0 | 9 *  * * * | 1 2 0  2  0  0  0 0 0 0 | 2 1 2 2 1 0 0 0 0 0 | 1 2 1 1 0 0
.. .. x. ..    | 2 0 | * 9  * * * | 0 2 1  0  0  2  0 0 0 0 | 1 2 0 2 0 1 0 2 0 0 | 1 1 0 2 1 0
oo3oo oo3oo&#x | 1 1 | * * 36 * * | 0 0 0  1  1  1  1 0 0 0 | 0 0 1 1 1 1 1 1 0 0 | 0 1 1 1 1 0
.. .x .. ..    | 0 2 | * *  * 9 * | 0 0 0  0  2  0  0 1 2 0 | 0 0 2 0 0 1 2 0 2 1 | 0 1 2 0 1 1
.. .. .. .x    | 0 2 | * *  * * 9 | 0 0 0  0  0  0  2 0 2 1 | 0 0 0 0 1 0 2 2 1 2 | 0 0 1 1 2 1
---------------+-----+------------+-------------------------+---------------------+------------
x.3o. .. ..    | 3 0 | 3 0  0 0 0 | 3 * *  *  *  *  * * * * | 2 0 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0
x. .. x. ..    | 4 0 | 2 2  0 0 0 | * 9 *  *  *  *  * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 0 1 0 0
.. .. x.3o.    | 3 0 | 0 3  0 0 0 | * * 3  *  *  *  * * * * | 0 2 0 0 0 0 0 2 0 0 | 1 0 0 2 1 0
xo .. .. ..&#x | 2 1 | 1 0  2 0 0 | * * * 18  *  *  * * * * | 0 0 1 1 1 0 0 0 0 0 | 0 1 1 1 0 0
.. ox .. ..&#x | 1 2 | 0 0  2 1 0 | * * *  * 18  *  * * * * | 0 0 1 0 0 1 1 0 0 0 | 0 1 1 0 1 0
.. .. xo ..&#x | 2 1 | 0 1  2 0 0 | * * *  *  * 18  * * * * | 0 0 0 1 0 1 0 1 0 0 | 0 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 0  2 0 1 | * * *  *  *  * 18 * * * | 0 0 0 0 1 0 1 1 0 0 | 0 0 1 1 1 0
.o3.x .. ..    | 0 3 | 0 0  0 3 0 | * * *  *  *  *  * 3 * * | 0 0 2 0 0 0 0 0 2 0 | 0 1 2 0 0 1
.. .x .. .x    | 0 4 | 0 0  0 2 2 | * * *  *  *  *  * * 9 * | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 0 1 1
.. .. .o3.x    | 0 3 | 0 0  0 0 3 | * * *  *  *  *  * * * 3 | 0 0 0 0 0 0 0 2 0 2 | 0 0 0 1 2 1
---------------+-----+------------+-------------------------+---------------------+------------
x.3o. x. ..     6 0 | 6 3  0 0 0 | 2 3 0  0  0  0  0 0 0 0 | 3 * * * * * * * * * | 1 1 0 0 0 0
x. .. x.3o.     6 0 | 3 6  0 0 0 | 0 3 2  0  0  0  0 0 0 0 | * 3 * * * * * * * * | 1 0 0 1 0 0
xo3ox .. ..&#x  3 3 | 3 0  6 3 0 | 1 0 0  3  3  0  0 1 0 0 | * * 6 * * * * * * * | 0 1 1 0 0 0
xo .. xo ..&#x  4 1 | 2 2  4 0 0 | 0 1 0  2  0  2  0 0 0 0 | * * * 9 * * * * * * | 0 1 0 1 0 0
xo .. .. ox&#x  2 2 | 1 0  4 0 1 | 0 0 0  2  0  0  2 0 0 0 | * * * * 9 * * * * * | 0 0 1 1 0 0
.. ox xo ..&#x  2 2 | 0 1  4 1 0 | 0 0 0  0  2  2  0 0 0 0 | * * * * * 9 * * * * | 0 1 0 0 1 0
.. ox .. ox&#x  1 4 | 0 0  4 2 2 | 0 0 0  0  2  0  2 0 1 0 | * * * * * * 9 * * * | 0 0 1 0 1 0
.. .. xo3ox&#x  3 3 | 0 3  6 0 3 | 0 0 1  0  0  3  3 0 0 1 | * * * * * * * 6 * * | 0 0 0 1 1 0
.o3.x .. .x     0 6 | 0 0  0 6 3 | 0 0 0  0  0  0  0 2 3 0 | * * * * * * * * 3 * | 0 0 1 0 0 1
.. .x .o3.x     0 6 | 0 0  0 3 6 | 0 0 0  0  0  0  0 0 3 2 | * * * * * * * * * 3 | 0 0 0 0 1 1
---------------+-----+------------+-------------------------+---------------------+------------
x.3o. x.3o.     9 0 | 9 9  0 0 0 | 3 9 3  0  0  0  0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 | 1 * * * * *
xo3ox xo ..&#x  6 3 | 6 3 12 3 0 | 2 3 0  6  6  6  0 1 0 0 | 1 0 2 3 0 3 0 0 0 0 | * 3 * * * *
xo3ox .. ox&#x  3 6 | 3 0 12 6 3 | 1 0 0  6  6  0  6 2 3 0 | 0 0 2 0 3 0 3 0 1 0 | * * 3 * * *
xo .. xo3ox&#x  6 3 | 3 6 12 0 3 | 0 3 2  6  0  6  6 0 0 1 | 0 1 0 3 3 0 0 2 0 0 | * * * 3 * *
.. ox xo3ox&#x  3 6 | 0 3 12 3 6 | 0 0 1  0  6  6  6 0 3 2 | 0 0 0 0 0 3 3 2 0 1 | * * * * 3 *
.o3.x .o3.x     0 9 | 0 0  0 9 9 | 0 0 0  0  0  0  0 3 9 3 | 0 0 0 0 0 0 0 0 3 3 | * * * * * 1

or (top = bottom)
o.3o. o.3o.    & | 18 |  2  2  4 | 1  4 1  6  6 | 2 2 2  5  4 2 | 1 3 3
-----------------+----+----------+--------------+---------------+------
x. .. .. ..    & |  2 | 18  *  * | 1  2 0  2  0 | 2 1 2  2  1 0 | 1 3 1
.. .. x. ..    & |  2 |  * 18  * | 0  2 1  0  2 | 1 2 0  2  1 2 | 1 1 3
oo3oo oo3oo&#x   |  2 |  *  * 36 | 0  0 0  2  2 | 0 0 1  2  2 1 | 0 2 2
-----------------+----+----------+--------------+---------------+------
x.3o. .. ..    & |  3 |  3  0  0 | 6  * *  *  * | 2 0 2  0  0 0 | 1 3 0
x. .. x. ..    & |  4 |  2  2  0 | * 18 *  *  * | 1 1 0  1  0 0 | 1 1 1
.. .. x.3o.    & |  3 |  0  3  0 | *  * 6  *  * | 0 2 0  0  0 2 | 1 0 3
xo .. .. ..&#x & |  3 |  1  0  2 | *  * * 36  * | 0 0 1  1  1 0 | 0 2 1
.. .. xo ..&#x & |  3 |  0  1  2 | *  * *  * 36 | 0 0 0  1  1 1 | 0 1 2
-----------------+----+----------+--------------+---------------+------
x.3o. x. ..    &   6 |  6  3  0 | 2  3 0  0  0 | 6 * *  *  * * | 1 1 0
x. .. x.3o.    &   6 |  3  6  0 | 0  3 2  0  0 | * 6 *  *  * * | 1 0 1
xo3ox .. ..&#x     6 |  6  0  6 | 2  0 0  6  0 | * * 6  *  * * | 0 2 0
xo .. xo ..&#x &   5 |  2  2  4 | 0  1 0  2  2 | * * * 18  * * | 0 1 1
xo .. .. ox&#x &   4 |  1  1  4 | 0  0 0  2  2 | * * *  * 18 * | 0 1 1
.. .. xo3ox&#x     6 |  0  6  6 | 0  0 2  0  6 | * * *  *  * 6 | 0 0 2
-----------------+----+----------+--------------+---------------+------
x.3o. x.3o.    &   9 |  9  9  0 | 3  9 3  0  0 | 3 3 0  0  0 0 | 2 * *
xo3ox xo ..&#x &   9 |  9  3 12 | 3  3 0 12  6 | 1 0 2  3  3 0 | * 6 *
xo .. xo3ox&#x &   9 |  3  9 12 | 0  3 3  6 12 | 0 1 0  3  3 2 | * * 6

or (top = bottom, left = right)
o.3o. o.3o.    & | 18 |  4  4 |  2  4 12 |  4  4  5  4 | 1  6
-----------------+----+-------+----------+-------------+-----
x. .. .. ..    & |  2 | 36  * |  1  2  2 |  3  2  2  1 | 1  4
oo3oo oo3oo&#x   |  2 |  * 36 |  0  0  4 |  0  2  2  2 | 0  4
-----------------+----+-------+----------+-------------+-----
x.3o. .. ..    & |  3 |  3  0 | 12  *  * |  2  2  0  0 | 1  3
x. .. x. ..    & |  4 |  4  0 |  * 18  * |  2  0  1  0 | 1  2
xo .. .. ..&#x & |  3 |  1  2 |  *  * 72 |  0  1  1  1 | 0  3
-----------------+----+-------+----------+-------------+-----
x.3o. x. ..    &   6 |  9  0 |  2  3  0 | 12  *  *  * | 1  1
xo3ox .. ..&#x &   6 |  6  6 |  2  0  6 |  * 12  *  * | 0  2
xo .. xo ..&#x &   5 |  4  4 |  0  1  4 |  *  * 18  * | 0  2
xo .. .. ox&#x &   4 |  2  4 |  0  0  4 |  *  *  * 18 | 0  2
-----------------+----+-------+----------+-------------+-----
x.3o. x.3o.    &   9 | 18  0 |  6  9  0 |  6  0  0  0 | 2  *
xo3ox xo ..&#x &   9 | 12 12 |  3  3 18 |  1  2  3  3 | * 12

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