Acronym staw
Name pentagrammic gyrobicupolaic ring,
star antiwedge,
{10/2} || stap
Circumradius sqrt[(19+2 sqrt(5))/31] = 0.870153
Lace city
in approx. ASCII-art
    x5/2x    
             
             
             
x5/2o   o5/2x
Face vector 20, 50, 43, 13
Confer
segmentochora family:
{2n} || n-ap  
non-Grünbaumian master:
stisaw
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xxo5/2oxx&#x   → height(1,2) = height(2,3) = sqrt[(5+sqrt(5))/10] = 0.850651
                 height(1,3) = sqrt[(sqrt(5)-1)/2] = 0.786151

o..5/2o..    | 5  * * | 2  2  2 0 0  0 0 | 1 2 1 2 1  2 0 0 0 0 | 1 1 2 1 0
.o.5/2.o.    | * 10 * | 0  1  0 1 1  1 0 | 0 1 1 0 0  1 1 1 1 0 | 1 0 1 1 1
..o5/2..o    | *  * 5 | 0  0  2 0 0  2 2 | 0 0 0 1 2  2 0 1 2 1 | 0 1 1 2 1
-------------+--------+------------------+----------------------+----------
x..   ...    | 2  0 0 | 5  *  * * *  * * | 1 1 0 1 0  0 0 0 0 0 | 1 1 1 0 0
oo.5/2oo.&#x | 1  1 0 | * 10  * * *  * * | 0 1 1 0 0  1 0 0 0 0 | 1 0 1 1 0
o.o5/2o.o&#x | 1  0 1 | *  * 10 * *  * * | 0 0 0 1 1  1 0 0 0 0 | 0 1 1 1 0
.x.   ...    | 0  2 0 | *  *  * 5 *  * * | 0 1 0 0 0  0 1 1 0 0 | 1 0 1 0 1
...   .x.    | 0  2 0 | *  *  * * 5  * * | 0 0 1 0 0  0 1 0 1 0 | 1 0 0 1 1
.oo5/2.oo&#x | 0  1 1 | *  *  * * * 10 * | 0 0 0 0 0  1 0 1 1 0 | 0 0 1 1 1
...   ..x    | 0  0 2 | *  *  * * *  * 5 | 0 0 0 0 1  0 0 0 1 1 | 0 1 0 1 1
-------------+--------+------------------+----------------------+----------
x..5/2o..    | 5  0 0 | 5  0  0 0 0  0 0 | 1 * * * *  * * * * * | 1 1 0 0 0
xx.   ...&#x | 2  2 0 | 1  2  0 1 0  0 0 | * 5 * * *  * * * * * | 1 0 1 0 0
...   ox.&#x | 1  2 0 | 0  2  0 0 1  0 0 | * * 5 * *  * * * * * | 1 0 0 1 0
x.o   ...&#x | 2  0 1 | 1  0  2 0 0  0 0 | * * * 5 *  * * * * * | 0 1 1 0 0
...   o.x&#x | 1  0 2 | 0  0  2 0 0  0 1 | * * * * 5  * * * * * | 0 1 0 1 0
ooo5/2ooo&#x | 1  1 1 | 0  1  1 0 0  1 0 | * * * * * 10 * * * * | 0 0 1 1 0
.x.5/2.x.    | 0 10 0 | 0  0  0 5 5  0 0 | * * * * *  * 1 * * * | 1 0 0 0 1
.xo   ...&#x | 0  2 1 | 0  0  0 1 0  2 0 | * * * * *  * * 5 * * | 0 0 1 0 1
...   .xx&#x | 0  2 2 | 0  0  0 0 1  2 1 | * * * * *  * * * 5 * | 0 0 0 1 1
..o5/2..x    | 0  0 5 | 0  0  0 0 0  0 5 | * * * * *  * * * * 1 | 0 1 0 0 1
-------------+--------+------------------+----------------------+----------
xx.5/2ox.&#x  5 10 0 | 5 10  0 5 5  0 0 | 1 5 5 0 0  0 1 0 0 0 | 1 * * * *
x.o5/2o.x&#x  5  0 5 | 5  0 10 0 0  0 5 | 1 0 0 5 5  0 0 0 0 1 | * 1 * * *
xxo   ...&#x  2  2 1 | 1  2  2 1 0  2 0 | 0 1 0 1 0  2 0 1 0 0 | * * 5 * *
...   oxx&#x  1  2 2 | 0  2  2 0 1  2 1 | 0 0 1 0 1  2 0 0 1 0 | * * * 5 *
.xo5/2.xx&#x  0 10 5 | 0  0  0 5 5 10 5 | 0 0 0 0 0  0 1 5 5 1 | * * * * 1
or
o..5/2o..    & | 10  * |  2  2  2  0 | 1  2  1  3  2 0 | 1 1  3
.o.5/2.o.      |  * 10 |  0  2  0  2 | 0  2  2  0  1 1 | 2 0  2
---------------+-------+-------------+-----------------+-------
x..   ...    & |  2  0 | 10  *  *  * | 1  1  0  1  0 0 | 1 1  1
oo.5/2oo.&#x & |  1  1 |  * 20  *  * | 0  1  1  0  1 0 | 1 0  2
o.o5/2o.o&#x   |  2  0 |  *  * 10  * | 0  0  0  2  1 0 | 0 1  2
.x.   ...    & |  0  2 |  *  *  * 10 | 0  1  1  0  0 1 | 2 0  1
---------------+-------+-------------+-----------------+-------
x..5/2o..    & |  5  0 |  5  0  0  0 | 2  *  *  *  * * | 1 1  0
xx.   ...&#x & |  2  2 |  1  2  0  1 | * 10  *  *  * * | 1 0  1
...   ox.&#x & |  1  2 |  0  2  0  1 | *  * 10  *  * * | 1 0  1
x.o   ...&#x & |  3  0 |  1  0  2  0 | *  *  * 10  * * | 0 1  1
ooo5/2ooo&#x   |  2  1 |  0  2  1  0 | *  *  *  * 10 * | 0 0  2
.x.5/2.x.      |  0 10 |  0  0  0 10 | *  *  *  *  * 1 | 2 0  0
---------------+-------+-------------+-----------------+-------
xx.5/2ox.&#x &   5 10 |  5 10  0 10 | 1  5  5  0  0 1 | 2 *  *
x.o5/2o.x&#x    10  0 | 10  0 10  0 | 2  0  0 10  0 0 | * 1  *
xxo   ...&#x &   3  2 |  1  4  2  1 | 0  1  1  1  2 0 | * * 10

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