Acronym ...
Name toroidal pentagrammic bicuploid,
star semicupolaic diabolo
 
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Incidence matrix according to Dynkin symbol

reduced(xxx5/2xox&#xt by all bases)   → both heights = sqrt((5+sqrt(5))/10) = 0.850651
(pseudo {10/2} || pseudo {5/2} || pseudo {10/2})

o..5/2o..               | 5 * * | 2  2 0  0 0 | 2 2 0 0
.o.5/2.o.               | * 5 * | 0  2 2  2 0 | 2 1 2 1
..o5/2..o               | * * 5 | 0  0 0  2 2 | 0 0 2 2
------------------------+-------+-------------+--------
x..   ...  &  ...   x.. | 2 0 0 | 5  * *  * * | 1 1 0 0  (those edges get identified)
oo.5/2oo.&#x            | 1 1 0 | * 10 *  * * | 1 1 0 0
.x.   ...               | 0 2 0 | *  * 5  * * | 1 0 1 0
.oo5/2.oo&#x            | 0 1 1 | *  * * 10 * | 0 0 1 1
..x   ...  &  ...   ..x | 0 0 2 | *  * *  * 5 | 0 0 1 1  (those edges get identified)
------------------------+-------+-------------+--------
xx.   ...&#x            | 2 2 0 | 1  2 1  0 0 | 5 * * *
...   xo.&#x            | 2 1 0 | 1  2 0  0 0 | * 5 * *
.xx   ...&#x            | 0 2 2 | 0  0 1  2 1 | * * 5 *
...   .ox&#x            | 0 1 2 | 0  0 0  2 1 | * * * 5

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