Acronym sissiddow
Name sissidic disphenoid,
sissid atop fully orthogonal sissid
Circumradius sqrt[5-sqrt(5)]/2 = 0.831254
Confer
general polytopal classes:
segmentoexa   scaliform   noble  

Incidence matrix according to Dynkin symbol

xo5/2oo5oo ox5/2oo5oo&#x   → height = sqrt[sqrt(5)-1]/2 = 0.555893
(sissid || fully perp. sissid)

o.5/2o.5o. o.5/2o.5o.    & | 24 |  5  12 |  5  90 | 1  72 150 | 13 210 | 35  60 | 17
---------------------------+----+--------+--------+-----------+--------+--------+---
x.   .. .. ..   .. ..    & |  2 | 60   * |  2  12 | 1  24  30 | 12  72 | 31  24 | 14
oo5/2oo5oo oo5/2oo5oo&#x   |  2 |  * 144 |  0  10 | 0  10  25 |  2  50 | 10  25 | 10
---------------------------+----+--------+--------+-----------+--------+--------+---
x.5/2o. .. ..   .. ..    & |  5 |  5   0 | 24   * | 1  12   0 | 12  30 | 30  12 | 13  {5/2}
xo   .. .. ..   .. ..&#x & |  3 |  1   2 |  * 720 | 0   2   5 |  1  15 |  6  10 |  7
---------------------------+----+--------+--------+-----------+--------+--------+---
x.5/2o.5o. ..   .. ..    &  12 | 30   0 | 12   0 | 2   *   * | 12   0 | 30   0 | 12
xo5/2oo .. ..   .. ..&#x &   6 |  5   5 |  1   5 | * 288   * |  1   5 |  5   5 |  6
xo   .. .. ox   .. ..&#x     4 |  2   4 |  0   4 | *   * 900 |  0   4 |  2   4 |  4
---------------------------+----+--------+--------+-----------+--------+--------+---
xo5/2oo5oo ..   .. ..&#x &  13 | 30  12 | 12  30 | 1  12   0 | 24   * |  5   0 |  5
xo5/2oo .. ox   .. ..&#x &   7 |  6  10 |  1  15 | 0   2   5 |  * 720 |  1   2 |  3
---------------------------+----+--------+--------+-----------+--------+--------+---
xo5/2oo5oo ox   .. ..&#x &  14 | 31  24 | 12  72 | 1  24  30 |  2  12 | 60   * |  2
xo5/2oo .. ox5/2oo ..&#x    10 | 10  25 |  2  50 | 0  10  25 |  0  10 |  * 144 |  2
---------------------------+----+--------+--------+-----------+--------+--------+---
xo5/2oo5oo ox5/2oo ..&#x &  17 | 35  60 | 13 210 | 1  72 150 |  5  90 |  5  12 | 24

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