Acronym spidapenp
Name spid atop penp,
wedge of staf
Circumradius 1
Lace city
in approx. ASCII-art
p   p
     
  S  

where
p - x3o3o3o (pen)
S - x3o3o3x (spid)
Confer
uniform relative:
staf  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

xo3oo3oo3xx ox&#x   → height = sqrt(7/20) = 0.591608
(spid || penp)

o.3o.3o.3o. o.    | 20  * |  3  3  2  0 0 |  3  4  3  6  6  1  0  0 | 1  3  3 1  6 12  6 12  3  0  0 | 1  2  6  3  6  6  2  3 0 0 | 2 1  3  3 1 0
.o3.o3.o3.o .o    |  * 10 |  0  0  4  4 1 |  0  0  0  6 12  4  6  4 | 0  0  0 0  4 12  6 12 12  4  6 | 0  1  4  4  6 12  4 12 1 4 | 1 1  4  6 4 1
------------------+-------+---------------+-------------------------+--------------------------------+----------------------------+--------------
x. .. .. .. ..    |  2  0 | 30  *  *  * * |  2  2  0  2  0  0  0  0 | 1  2  1 0  4  4  1  0  0  0  0 | 1  2  4  2  2  2  0  0 0 0 | 2 1  2  1 0 0
.. .. .. x. ..    |  2  0 |  * 30  *  * * |  0  2  2  0  2  0  0  0 | 0  1  2 1  0  4  0  4  1  0  0 | 1  0  2  0  4  2  2  2 0 0 | 2 0  1  2 1 0
oo3oo3oo3oo oo&#x |  1  1 |  *  * 40  * * |  0  0  0  3  3  1  0  0 | 0  0  0 0  3  6  3  3  3  0  0 | 0  1  3  3  3  6  1  3 0 0 | 1 1  3  3 1 0
.. .. .. .x ..    |  0  2 |  *  *  * 20 * |  0  0  0  0  3  0  3  1 | 0  0  0 0  0  3  0  6  3  3  3 | 0  0  1  0  3  3  3  6 1 3 | 1 0  1  3 3 1
.. .. .. .. .x    |  0  2 |  *  *  *  * 5 |  0  0  0  0  0  4  0  4 | 0  0  0 0  0  0  6  0 12  0  6 | 0  0  0  4  0 12  0 12 0 4 | 0 1  4  6 4 1
------------------+-------+---------------+-------------------------+--------------------------------+----------------------------+--------------
x.3o. .. .. ..    |  3  0 |  3  0  0  0 0 | 20  *  *  *  *  *  *  * | 1  1  0 0  2  0  0  0  0  0  0 | 1  2  2  1  0  0  0  0 0 0 | 2 1  1  0 0 0
x. .. .. x. ..    |  4  0 |  2  2  0  0 0 |  * 30  *  *  *  *  *  * | 0  1  1 0  0  2  0  0  0  0  0 | 1  0  2  0  2  1  0  0 0 0 | 2 0  1  1 0 0
.. .. o.3x. ..    |  3  0 |  0  3  0  0 0 |  *  * 20  *  *  *  *  * | 0  0  1 1  0  0  0  2  0  0  0 | 1  0  0  0  2  0  2  1 0 0 | 2 0  0  1 1 0
xo .. .. .. ..&#x |  2  1 |  1  0  2  0 0 |  *  *  * 60  *  *  *  * | 0  0  0 0  2  2  1  0  0  0  0 | 0  1  2  2  1  2  0  0 0 0 | 1 1  2  1 0 0
.. .. .. xx ..&#x |  2  2 |  0  1  2  1 0 |  *  *  *  * 60  *  *  * | 0  0  0 0  0  2  0  2  1  0  0 | 0  0  1  0  2  2  1  2 0 0 | 1 0  1  2 1 0
.. .. .. .. ox&#x |  1  2 |  0  0  2  0 1 |  *  *  *  *  * 20  *  * | 0  0  0 0  0  0  3  0  3  0  0 | 0  0  0  3  0  6  0  3 0 0 | 0 1  3  3 1 0
.. .. .o3.x ..    |  0  3 |  0  0  0  3 0 |  *  *  *  *  *  * 20  * | 0  0  0 0  0  0  0  2  0  2  1 | 0  0  0  0  1  0  2  2 1 2 | 1 0  0  1 2 1
.. .. .. .x .x    |  0  4 |  0  0  0  2 2 |  *  *  *  *  *  *  * 10 | 0  0  0 0  0  0  0  0  3  0  3 | 0  0  0  0  0  3  0  6 0 3 | 0 0  1  3 3 1
------------------+-------+---------------+-------------------------+--------------------------------+----------------------------+--------------
x.3o.3o. .. ..      4  0 |  6  0  0  0 0 |  4  0  0  0  0  0  0  0 | 5  *  * *  *  *  *  *  *  *  * | 1  2  0  0  0  0  0  0 0 0 | 2 1  0  0 0 0
x.3o. .. x. ..      6  0 |  6  3  0  0 0 |  2  3  0  0  0  0  0  0 | * 10  * *  *  *  *  *  *  *  * | 1  0  2  0  0  0  0  0 0 0 | 2 0  1  0 0 0
x. .. o.3x. ..      6  0 |  3  6  0  0 0 |  0  3  2  0  0  0  0  0 | *  * 10 *  *  *  *  *  *  *  * | 1  0  0  0  2  0  0  0 0 0 | 2 0  0  1 0 0
.. o.3o.3x. ..      4  0 |  0  6  0  0 0 |  0  0  4  0  0  0  0  0 | *  *  * 5  *  *  *  *  *  *  * | 1  0  0  0  0  0  2  0 0 0 | 2 0  0  0 1 0
xo3oo .. .. ..&#x   3  1 |  3  0  3  0 0 |  1  0  0  3  0  0  0  0 | *  *  * * 40  *  *  *  *  *  * | 0  1  1  1  0  0  0  0 0 0 | 1 1  1  0 0 0
xo .. .. xx ..&#x   4  2 |  2  2  4  1 0 |  0  1  0  2  2  0  0  0 | *  *  * *  * 60  *  *  *  *  * | 0  0  1  0  1  1  0  0 0 0 | 1 0  1  1 0 0
xo .. .. .. ox&#x   2  2 |  1  0  4  0 1 |  0  0  0  2  0  2  0  0 | *  *  * *  *  * 30  *  *  *  * | 0  0  0  2  0  2  0  0 0 0 | 0 1  2  1 0 0
.. .. oo3xx ..&#x   3  3 |  0  3  3  3 0 |  0  0  1  0  3  0  1  0 | *  *  * *  *  *  * 40  *  *  * | 0  0  0  0  1  0  1  1 0 0 | 1 0  0  1 1 0
.. .. .. xx ox&#x   2  4 |  0  1  4  2 2 |  0  0  0  0  2  2  0  1 | *  *  * *  *  *  *  * 30  *  * | 0  0  0  0  0  2  0  2 0 0 | 0 0  1  2 1 0
.. .o3.o3.x ..      0  4 |  0  0  0  6 0 |  0  0  0  0  0  0  4  0 | *  *  * *  *  *  *  *  * 10  * | 0  0  0  0  0  0  1  0 1 1 | 1 0  0  0 1 1
.. .. .o3.x .x      0  6 |  0  0  0  6 3 |  0  0  0  0  0  0  2  3 | *  *  * *  *  *  *  *  *  * 10 | 0  0  0  0  0  0  0  2 0 2 | 0 0  0  1 2 1
------------------+-------+---------------+-------------------------+--------------------------------+----------------------------+--------------
x.3o.3o.3x. ..     20  0 | 30 30  0  0 0 | 20 30 20  0  0  0  0  0 | 5 10 10 5  0  0  0  0  0  0  0 | 1  *  *  *  *  *  *  * * * | 2 0  0  0 0 0
xo3oo3oo .. ..&#x   4  1 |  6  0  4  0 0 |  4  0  0  6  0  0  0  0 | 1  0  0 0  4  0  0  0  0  0  0 | * 10  *  *  *  *  *  * * * | 1 1  0  0 0 0
xo3oo .. xx ..&#x   6  2 |  6  3  6  1 0 |  2  3  0  6  3  0  0  0 | 0  1  0 0  2  3  0  0  0  0  0 | *  * 20  *  *  *  *  * * * | 1 0  1  0 0 0
xo3oo .. .. ox&#x   3  2 |  3  0  6  0 1 |  1  0  0  6  0  3  0  0 | 0  0  0 0  2  0  3  0  0  0  0 | *  *  * 20  *  *  *  * * * | 0 1  1  0 0 0
xo .. oo3xx ..&#x   6  3 |  3  6  6  3 0 |  0  3  2  3  6  0  1  0 | 0  0  1 0  0  3  0  2  0  0  0 | *  *  *  * 20  *  *  * * * | 1 0  0  1 0 0
xo .. .. xx ox&#x   4  4 |  2  2  8  2 2 |  0  1  0  4  4  4  0  1 | 0  0  0 0  0  2  2  0  2  0  0 | *  *  *  *  * 30  *  * * * | 0 0  1  1 0 0
.. oo3oo3xx ..&#x   4  4 |  0  6  4  6 0 |  0  0  4  0  6  0  4  0 | 0  0  0 1  0  0  0  4  0  1  0 | *  *  *  *  *  * 10  * * * | 1 0  0  0 1 0
.. .. oo3xx ox&#x   3  6 |  0  3  6  6 3 |  0  0  1  0  6  3  2  3 | 0  0  0 0  0  0  0  2  3  0  1 | *  *  *  *  *  *  * 20 * * | 0 0  0  1 1 0
.o3.o3.o3.x ..      0  5 |  0  0  0 10 0 |  0  0  0  0  0  0 10  0 | 0  0  0 0  0  0  0  0  0  5  0 | *  *  *  *  *  *  *  * 2 * | 1 0  0  0 0 1
.. .o3.o3.x .x      0  8 |  0  0  0 12 4 |  0  0  0  0  0  0  8  6 | 0  0  0 0  0  0  0  0  0  2  4 | *  *  *  *  *  *  *  * * 5 | 0 0  0  0 1 1
------------------+-------+---------------+-------------------------+--------------------------------+----------------------------+--------------
xo3oo3oo3xx ..&#x  20  5 | 30 30 20 10 0 | 20 30 20 30 30  0 10  0 | 5 10 10 5 20 30  0 20  0  5  0 | 1  5 10  0 10  0  5  0 1 0 | 2 *  *  * * *
xo3oo3oo .. ox&#x   4  2 |  6  0  8  0 1 |  4  0  0 12  0  4  0  0 | 1  0  0 0  8  0  6  0  0  0  0 | 0  2  0  4  0  0  0  0 0 0 | * 5  *  * * *
xo3oo .. xx ox&#x   6  4 |  6  3 12  2 2 |  2  3  0 12  6  6  0  1 | 0  1  0 0  4  6  6  0  3  0  0 | 0  0  2  2  0  3  0  0 0 0 | * * 10  * * *
xo .. oo3xx ox&#x   6  6 |  3  6 12  6 3 |  0  3  2  6 12  6  2  3 | 0  0  1 0  0  6  3  4  6  0  1 | 0  0  0  0  2  3  0  2 0 0 | * *  * 10 * *
.. oo3oo3xx ox&#x   4  8 |  0  6  8 12 4 |  0  0  4  0 12  4  8  6 | 0  0  0 1  0  0  0  8  6  2  4 | 0  0  0  0  0  0  2  4 0 1 | * *  *  * 5 *
.o3.o3.o3.x .x      0 10 |  0  0  0 20 5 |  0  0  0  0  0  0 20 10 | 0  0  0 0  0  0  0  0  0 10 10 | 0  0  0  0  0  0  0  0 2 5 | * *  *  * * 1

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