| Acronym | sistadow |
| Name |
(square,pentagram)-disphenoid, (square,pentagram)-duopyramid, square atop fully orthogonal pentagram |
| Circumradius | sqrt(2) = 0.707107 |
| Face vector | 9, 29, 42, 29, 9 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xo4oo ox5/2oo&#x → height = sqrt[sqrt(5)/10] = 0.472871
o.4o. o.5/2o. | 4 * | 2 5 0 | 1 10 5 0 | 5 10 1 | 5 2
.o4.o .o5/2.o | * 5 | 0 4 2 | 0 4 8 1 | 1 8 4 | 2 4
-----------------+-----+--------+-----------+--------+----
x. .. .. .. | 2 0 | 4 * * | 1 5 0 0 | 5 5 0 | 5 1
oo4oo oo5/2oo&#x | 1 1 | * 20 * | 0 2 2 0 | 1 4 1 | 2 2
.. .. .x .. | 0 2 | * * 5 | 0 0 4 1 | 0 4 4 | 1 4
-----------------+-----+--------+-----------+--------+----
x.4o. .. .. | 4 0 | 4 0 0 | 1 * * * | 5 0 0 | 5 0
xo .. .. ..&#x | 2 1 | 1 2 0 | * 20 * * | 1 2 0 | 2 1
.. .. ox ..&#x | 1 2 | 0 2 1 | * * 20 * | 0 2 1 | 1 2
.. .. .x5/2.o | 0 5 | 0 0 5 | * * * 1 | 0 0 4 | 0 4 {5/2}
-----------------+-----+--------+-----------+--------+----
xo4oo .. ..&#x ♦ 4 1 | 4 4 0 | 1 4 0 0 | 5 * * | 2 0
xo .. ox ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * 20 * | 1 1
.. .. ox5/2oo&#x ♦ 1 5 | 0 5 5 | 0 0 5 1 | * * 4 | 0 2
-----------------+-----+--------+-----------+--------+----
xo4oo ox ..&#x ♦ 4 2 | 4 8 1 | 1 8 4 0 | 2 4 0 | 5 *
xo .. ox5/2oo&#x ♦ 2 5 | 1 10 5 | 0 5 10 1 | 0 5 2 | * 4
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