Acronym tipadeca
Name tip atop deca,
2nd segment of rin in pen-first orientation
Circumradius sqrt(2) = 1.414214
Lace city
in approx. ASCII-art
 x3x3o u3o3o x3o3o		-- x3x3o3o (tip)
                  
o3x3x o3u3o x3x3o 		-- o3x3x3o (deca)
Confer
uniform relative:
rin  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xo3xx3ox3oo&#x   → height = sqrt(2/5) = 0.632456
(tip || deca)

o.3o.3o.3o.    | 20  * |  1  3  3  0  0 |  3  3  3  3  3  0  0  0 | 3 1  3  3  3  1 0 0 | 1 3  1 1 0
.o3.o3.o3.o    |  * 30 |  0  0  2  2  2 |  0  0  1  2  4  1  4  1 | 0 0  1  2  4  2 2 2 | 0 2  1 2 1
---------------+-------+----------------+-------------------------+---------------------+-----------
x. .. .. ..    |  2  0 | 10  *  *  *  * |  3  0  3  0  0  0  0  0 | 3 0  3  3  0  0 0 0 | 1 3  1 0 0
.. x. .. ..    |  2  0 |  * 30  *  *  * |  1  2  0  1  0  0  0  0 | 2 1  1  0  2  0 0 0 | 1 2  0 1 0
oo3oo3oo3oo&#x |  1  1 |  *  * 60  *  * |  0  0  1  1  2  0  0  0 | 0 0  1  2  2  1 0 0 | 0 2  1 1 0
.. .x .. ..    |  0  2 |  *  *  * 30  * |  0  0  0  1  0  1  2  0 | 0 0  1  0  2  0 2 1 | 0 2  0 1 1
.. .. .x ..    |  0  2 |  *  *  *  * 30 |  0  0  0  0  2  0  2  1 | 0 0  0  1  2  2 1 2 | 0 1  1 2 1
---------------+-------+----------------+-------------------------+---------------------+-----------
x.3x. .. ..    |  6  0 |  3  3  0  0  0 | 10  *  *  *  *  *  *  * | 2 0  1  0  0  0 0 0 | 1 2  0 0 0
.. x.3o. ..    |  3  0 |  0  3  0  0  0 |  * 20  *  *  *  *  *  * | 1 1  0  0  1  0 0 0 | 1 1  0 1 0
xo .. .. ..&#x |  2  1 |  1  0  2  0  0 |  *  * 30  *  *  *  *  * | 0 0  1  2  0  0 0 0 | 0 2  1 0 0
.. xx .. ..&#x |  2  2 |  0  1  2  1  0 |  *  *  * 30  *  *  *  * | 0 0  1  0  2  0 0 0 | 0 2  0 1 0
.. .. ox ..&#x |  1  2 |  0  0  2  0  1 |  *  *  *  * 60  *  *  * | 0 0  0  1  1  1 0 0 | 0 1  1 1 0
.o3.x .. ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  * 10  *  * | 0 0  1  0  0  0 2 0 | 0 2  0 0 1
.. .x3.x ..    |  0  6 |  0  0  0  3  3 |  *  *  *  *  *  * 20  * | 0 0  0  0  1  0 1 1 | 0 1  0 1 1
.. .. .x3.o    |  0  3 |  0  0  0  0  3 |  *  *  *  *  *  *  * 10 | 0 0  0  0  0  2 0 2 | 0 0  1 2 1
---------------+-------+----------------+-------------------------+---------------------+-----------
x.3x.3o. ..     12  0 |  6 12  0  0  0 |  4  4  0  0  0  0  0  0 | 5 *  *  *  *  * * * | 1 1  0 0 0
.. x.3o.3o.      4  0 |  0  6  0  0  0 |  0  4  0  0  0  0  0  0 | * 5  *  *  *  * * * | 1 0  0 1 0
xo3xx .. ..&#x   6  3 |  3  3  6  3  0 |  1  0  3  3  0  1  0  0 | * * 10  *  *  * * * | 0 2  0 0 0
xo .. ox ..&#x   2  2 |  1  0  4  0  1 |  0  0  2  0  2  0  0  0 | * *  * 30  *  * * * | 0 1  1 0 0
.. xx3ox ..&#x   3  6 |  0  3  6  3  3 |  0  1  0  3  3  0  1  0 | * *  *  * 20  * * * | 0 1  0 1 0
.. .. ox3oo&#x   1  3 |  0  0  3  0  3 |  0  0  0  0  3  0  0  1 | * *  *  *  * 20 * * | 0 0  1 1 0
.o3.x3.x ..      0 12 |  0  0  0 12  6 |  0  0  0  0  0  4  4  0 | * *  *  *  *  * 5 * | 0 1  0 0 1
.. .x3.x3.o      0 12 |  0  0  0  6 12 |  0  0  0  0  0  0  4  4 | * *  *  *  *  * * 5 | 0 0  0 1 1
---------------+-------+----------------+-------------------------+---------------------+-----------
x.3x.3o.3o.     20  0 | 10 30  0  0  0 | 10 20  0  0  0  0  0  0 | 5 5  0  0  0  0 0 0 | 1 *  * * *
xo3xx3ox ..&#x  12 12 |  6 12 24 12  6 |  4  4 12 12 12  4  4  0 | 1 0  4  6  4  0 1 0 | * 5  * * *
xo .. ox3oo&#x   2  3 |  1  0  6  0  3 |  0  0  3  0  6  0  0  1 | 0 0  0  3  0  2 0 0 | * * 10 * *
.. xx3ox3oo&#x   4 12 |  0  6 12  6 12 |  0  4  0  6 12  0  4  4 | 0 1  0  0  4  4 0 1 | * *  * 5 *
.o3.x3.x3.o      0 30 |  0  0  0 30 30 |  0  0  0  0  0 10 20 10 | 0 0  0  0  0  0 5 5 | * *  * * 1

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