Acronym tetafip
Name prism of tetrahedral antifastegium,
tetaf prism,
tepe atop inverted squatet,
half of hinnip
Circumradius sqrt(7/8) = 0.935414
Lace city
in approx. ASCII-art
    t    	-- o x x3o3o (tepe)
         	
T       T	-- x x o3o3x (inv squatet)

  \       \
   \       +-- .xx .xo3.oo3.ox&#x (hexip)
    +--------- x.. o..3o..3x.. (tepe)

where:
t = x x3o3o (tepe)
T = x o3o3x (inv tepe)
Face vector 24, 104, 202, 196, 93, 19
Confer
uniform relative:
hinnip  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

xo3oo3ox ox xx&#x   → height = 1/2
(tepe || inv squatet)

o.3o.3o. o. o.    | 8  * |  3 1  6  0 0 0 | 3 3 12  6  3  6  0  0  0 0 | 1 3  6  6  6 12  2  3  6  3 0 0 0 0 | 1 2 3 6  3  6  6 1 2  3 0 0 0 | 1 2 3 3 1 0
.o3.o3.o .o .o    | * 16 |  0 0  3  3 1 1 | 0 0  3  6  3  3  3  3  3 1 | 0 0  1  3  3  3  3  6  6  3 1 3 3 3 | 0 1 1 1  3  3  3 3 3  6 1 1 3 | 1 1 1 3 3 1
------------------+------+----------------+----------------------------+-------------------------------------+-------------------------------+------------
x. .. .. .. ..    | 2  0 | 12 *  *  * * * | 2 1  2  0  0  0  0  0  0 0 | 1 2  4  2  4  0  0  0  0  0 0 0 0 0 | 1 2 2 4  1  2  2 0 0  0 0 0 0 | 1 2 2 1 0 0
.. .. .. .. x.    | 2  0 |  * 4  *  * * * | 0 3  0  0  0  6  0  0  0 0 | 0 3  0  0  0 12  0  0  6  3 0 0 0 0 | 1 0 0 6  0  6  6 0 2  3 0 0 0 | 0 2 3 3 1 0
oo3oo3oo oo oo&#x | 1  1 |  * * 48  * * * | 0 0  2  2  1  1  0  0  0 0 | 0 0  1  2  2  2  1  2  2  2 0 0 0 0 | 0 1 1 1  2  2  2 1 1  2 0 0 0 | 1 1 1 2 1 0
.. .. .x .. ..    | 0  2 |  * *  * 24 * * | 0 0  0  2  0  0  2  1  1 0 | 0 0  0  1  0  0  2  2  2  0 1 2 2 1 | 0 1 0 0  1  1  0 2 2  2 1 1 2 | 1 1 0 1 2 1
.. .. .. .x ..    | 0  2 |  * *  *  * 8 * | 0 0  0  0  3  0  0  3  0 1 | 0 0  0  0  3  0  0  6  0  3 0 3 0 3 | 0 0 1 0  3  0  3 3 0  6 1 0 3 | 1 0 1 3 3 1
.. .. .. .. .x    | 0  2 |  * *  *  * * 8 | 0 0  0  0  0  3  0  0  3 1 | 0 0  0  0  0  3  0  0  6  3 0 0 3 3 | 0 0 0 1  0  3  3 0 3  6 0 1 3 | 0 1 1 3 3 1
------------------+------+----------------+----------------------------+-------------------------------------+-------------------------------+------------
x.3o. .. .. ..    | 3  0 |  3 0  0  0 0 0 | 8 *  *  *  *  *  *  *  * * | 1 1  2  0  0  0  0  0  0  0 0 0 0 0 | 1 2 1 2  0  0  0 0 0  0 0 0 0 | 1 2 1 0 0 0
x. .. .. .. x.    | 4  0 |  2 2  0  0 0 0 | * 6  *  *  *  *  *  *  * * | 0 2  0  0  0  4  0  0  0  0 0 0 0 0 | 1 0 0 4  0  2  2 0 0  0 0 0 0 | 0 2 2 1 0 0
xo .. .. .. ..&#x | 2  1 |  1 0  2  0 0 0 | * * 48  *  *  *  *  *  * * | 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 0 | 1 1 1 1 0 0
.. .. ox .. ..&#x | 1  2 |  0 0  2  1 0 0 | * *  * 48  *  *  *  *  * * | 0 0  0  1  0  0  1  1  1  0 0 0 0 0 | 0 1 0 0  1  1  0 1 1  1 0 0 0 | 1 1 0 1 1 0
.. .. .. ox ..&#x | 1  2 |  0 0  2  0 1 0 | * *  *  * 24  *  *  *  * * | 0 0  0  0  2  0  0  2  0  1 0 0 0 0 | 0 0 1 0  2  0  2 1 0  2 0 0 0 | 1 0 1 2 1 0
.. .. .. .. xx&#x | 2  2 |  0 1  2  0 0 1 | * *  *  *  * 24  *  *  * * | 0 0  0  0  0  2  0  0  2  1 0 0 0 0 | 0 0 0 1  0  2  2 0 1  2 0 0 0 | 0 1 1 2 1 0
.. .o3.x .. ..    | 0  3 |  0 0  0  3 0 0 | * *  *  *  *  * 16  *  * * | 0 0  0  0  0  0  1  0  0  0 1 1 1 0 | 0 1 0 0  0  0  0 1 1  0 1 1 1 | 1 1 0 0 1 1
.. .. .x .x ..    | 0  4 |  0 0  0  2 2 0 | * *  *  *  *  *  * 12  * * | 0 0  0  0  0  0  0  2  0  0 0 2 0 1 | 0 0 0 0  1  0  0 2 0  2 1 0 2 | 1 0 0 1 2 1
.. .. .x .. .x    | 0  4 |  0 0  0  2 0 2 | * *  *  *  *  *  *  * 12 * | 0 0  0  0  0  0  0  0  2  0 0 0 2 1 | 0 0 0 0  0  1  0 0 2  2 0 1 2 | 0 1 0 1 2 1
.. .. .. .x .x    | 0  4 |  0 0  0  0 2 2 | * *  *  *  *  *  *  *  * 4 | 0 0  0  0  0  0  0  0  0  3 0 0 0 3 | 0 0 0 0  0  0  3 0 0  6 0 0 3 | 0 0 1 3 3 1
------------------+------+----------------+----------------------------+-------------------------------------+-------------------------------+------------
x.3o.3o. .. ..     4  0 |  6 0  0  0 0 0 | 4 0  0  0  0  0  0  0  0 0 | 2 *  *  *  *  *  *  *  *  * * * * * | 1 2 0 0  0  0  0 0 0  0 0 0 0 | 1 2 0 0 0 0
x.3o. .. .. x.     6  0 |  6 3  0  0 0 0 | 2 3  0  0  0  0  0  0  0 0 | * 4  *  *  *  *  *  *  *  * * * * * | 1 0 0 2  0  0  0 0 0  0 0 0 0 | 0 2 1 0 0 0
xo3oo .. .. ..&#x  3  1 |  3 0  3  0 0 0 | 1 0  3  0  0  0  0  0  0 0 | * * 16  *  *  *  *  *  *  * * * * * | 0 1 1 1  0  0  0 0 0  0 0 0 0 | 1 1 1 0 0 0
xo .. ox .. ..&#x  2  2 |  1 0  4  1 0 0 | 0 0  2  2  0  0  0  0  0 0 | * *  * 24  *  *  *  *  *  * * * * * | 0 1 0 0  1  1  0 0 0  0 0 0 0 | 1 1 0 1 0 0
xo .. .. ox ..&#x  2  2 |  1 0  4  0 1 0 | 0 0  2  0  2  0  0  0  0 0 | * *  *  * 24  *  *  *  *  * * * * * | 0 0 1 0  1  0  1 0 0  0 0 0 0 | 1 0 1 1 0 0
xo .. .. .. xx&#x  4  2 |  2 2  4  0 0 1 | 0 1  2  0  0  2  0  0  0 0 | * *  *  *  * 24  *  *  *  * * * * * | 0 0 0 1  0  1  1 0 0  0 0 0 0 | 0 1 1 1 0 0
.. oo3ox .. ..&#x  1  3 |  0 0  3  3 0 0 | 0 0  0  3  0  0  1  0  0 0 | * *  *  *  *  * 16  *  *  * * * * * | 0 1 0 0  0  0  0 1 1  0 0 0 0 | 1 1 0 0 1 0
.. .. ox ox ..&#x  1  4 |  0 0  4  2 2 0 | 0 0  0  2  2  0  0  1  0 0 | * *  *  *  *  *  * 24  *  * * * * * | 0 0 0 0  1  0  0 1 0  1 0 0 0 | 1 0 0 1 1 0
.. .. ox .. xx&#x  2  4 |  0 1  4  2 0 2 | 0 0  0  2  0  2  0  0  1 0 | * *  *  *  *  *  *  * 24  * * * * * | 0 0 0 0  0  1  0 0 1  1 0 0 0 | 0 1 0 1 1 0
.. .. .. ox xx&#x  2  4 |  0 1  4  0 2 2 | 0 0  0  0  2  2  0  0  0 1 | * *  *  *  *  *  *  *  * 12 * * * * | 0 0 0 0  0  0  2 0 0  2 0 0 0 | 0 0 1 2 1 0
.o3.o3.x .. ..     0  4 |  0 0  0  6 0 0 | 0 0  0  0  0  0  4  0  0 0 | * *  *  *  *  *  *  *  *  * 4 * * * | 0 1 0 0  0  0  0 0 0  0 1 1 0 | 1 1 1 0 0 1
.. .o3.x .x ..     0  6 |  0 0  0  6 3 0 | 0 0  0  0  0  0  2  3  0 0 | * *  *  *  *  *  *  *  *  * * 8 * * | 0 0 0 0  0  0  0 1 0  0 1 0 1 | 1 0 0 0 1 1
.. .o3.x .. .x     0  6 |  0 0  0  6 0 3 | 0 0  0  0  0  0  2  0  3 0 | * *  *  *  *  *  *  *  *  * * * 8 * | 0 0 0 0  0  0  0 0 1  0 0 1 1 | 0 1 0 0 1 1
.. .. .x .x .x     0  8 |  0 0  0  4 4 4 | 0 0  0  0  0  0  0  2  2 2 | * *  *  *  *  *  *  *  *  * * * * 6 | 0 0 0 0  0  0  0 0 0  2 0 0 2 | 0 0 0 1 2 1
------------------+------+----------------+----------------------------+-------------------------------------+-------------------------------+------------
x.3o.3o. .. x.     8  0 | 12 4  0  0 0 0 | 8 6  0  0  0  0  0  0  0 0 | 2 4  0  0  0  0  0  0  0  0 0 0 0 0 | 1 * * *  *  *  * * *  * * * * | 0 2 0 0 0 0
xo3oo3ox .. ..&#x  4  4 |  6 0 12  6 0 0 | 4 0 12 12  0  0  4  0  0 0 | 1 0  4  6  0  0  4  0  0  0 1 0 0 0 | * 4 * *  *  *  * * *  * * * * | 1 1 0 0 0 0
xo3oo .. ox ..&#x  3  2 |  3 0  6  0 1 0 | 1 0  6  0  3  0  0  0  0 0 | 0 0  2  0  3  0  0  0  0  0 0 0 0 0 | * * 8 *  *  *  * * *  * * * * | 1 0 1 0 0 0
xo3oo .. .. xx&#x  6  2 |  6 3  6  0 0 1 | 2 3  6  0  0  3  0  0  0 0 | 0 1  2  0  0  3  0  0  0  0 0 0 0 0 | * * * 8  *  *  * * *  * * * * | 0 1 1 0 0 0
xo .. ox ox ..&#x  2  4 |  1 0  8  2 2 0 | 0 0  4  4  4  0  0  1  0 0 | 0 0  0  2  2  0  0  2  0  0 0 0 0 0 | * * * * 12  *  * * *  * * * * | 1 0 0 1 0 0
xo .. ox .. xx&#x  4  4 |  2 2  8  2 0 2 | 0 1  4  4  0  4  0  0  1 0 | 0 0  0  2  0  2  0  0  2  0 0 0 0 0 | * * * *  * 12  * * *  * * * * | 0 1 0 1 0 0
xo .. .. ox xx&#x  4  4 |  2 2  8  0 2 2 | 0 1  4  0  4  4  0  0  0 1 | 0 0  0  0  2  2  0  0  0  2 0 0 0 0 | * * * *  *  * 12 * *  * * * * | 0 0 1 1 0 0
.. oo3ox ox ..&#x  1  6 |  0 0  6  6 3 0 | 0 0  0  6  3  0  2  3  0 0 | 0 0  0  0  0  0  2  3  0  0 0 1 0 0 | * * * *  *  *  * 8 *  * * * * | 1 0 0 0 1 0
.. oo3ox .. xx&#x  2  6 |  0 1  6  6 0 3 | 0 0  0  6  0  3  2  0  3 0 | 0 0  0  0  0  0  2  0  3  0 0 0 1 0 | * * * *  *  *  * * 8  * * * * | 0 1 0 0 1 0
.. .. ox ox xx&#x  2  8 |  0 1  8  4 4 4 | 0 0  0  4  4  4  0  2  2 2 | 0 0  0  0  0  0  0  2  2  2 0 0 0 1 | * * * *  *  *  * * * 12 * * * | 0 0 0 1 1 0
.o3.o3.x .x ..     0  8 |  0 0  0 12 4 0 | 0 0  0  0  0  0  8  6  0 0 | 0 0  0  0  0  0  0  0  0  0 2 4 0 0 | * * * *  *  *  * * *  * 2 * * | 1 0 0 0 0 1
.o3.o3.x .. .x     0  8 |  0 0  0 12 0 4 | 0 0  0  0  0  0  8  0  6 0 | 0 0  0  0  0  0  0  0  0  0 2 0 4 0 | * * * *  *  *  * * *  * * 2 * | 0 1 0 0 0 1
.. .o3.x .x .x     0 12 |  0 0  0 12 6 6 | 0 0  0  0  0  0  4  6  6 3 | 0 0  0  0  0  0  0  0  0  0 0 2 2 3 | * * * *  *  *  * * *  * * * 4 | 0 0 0 0 1 1
------------------+------+----------------+----------------------------+-------------------------------------+-------------------------------+------------
xo3oo3ox ox ..&#x  4  8 |  6 0 24 12 4 0 | 4 0 24 24 12  0  8  6  0 0 | 1 0  8 12 12  0  8 12  0  0 2 4 0 0 | 0 2 4 0  6  0  0 4 0  0 1 0 0 | 2 * * * * *
xo3oo3ox .. xx&#x  8  8 | 12 4 24 12 0 4 | 8 6 24 24  0 12  8  0  6 0 | 2 4  8 12  0 12  8  0 12  0 2 0 4 0 | 1 2 0 4  0  6  0 0 4  0 0 1 0 | * 2 * * * *
xo3oo .. ox xx&#x  6  4 |  6 3 12  0 2 2 | 2 3 12  0  6  6  0  0  0 1 | 0 1  4  0  6  6  0  0  0  3 0 0 0 0 | 0 0 2 2  0  0  3 0 0  0 0 0 0 | * * 4 * * *
xo .. ox ox xx&#x  4  8 |  2 2 16  4 4 4 | 0 1  8  8  8  8  0  2  2 2 | 0 0  0  4  4  4  0  4  4  4 0 0 0 1 | 0 0 0 0  2  2  2 0 0  2 0 0 0 | * * * 6 * *
.. oo3ox ox xx&#x  2 12 |  0 1 12 12 6 6 | 0 0  0 12  6  6  4  6  6 3 | 0 0  0  0  0  0  4  6  6  3 0 2 2 3 | 0 0 0 0  0  0  0 2 2  3 0 0 1 | * * * * 4 *
.o3.o3.x .x .x     0 16 |  0 0  0 24 8 8 | 0 0  0  0  0  0 16 12 12 4 | 0 0  0  0  0  0  0  0  0  0 4 8 8 6 | 0 0 0 0  0  0  0 0 0  0 2 2 4 | * * * * * 1

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