Acronym ...
Name mono lowered small rhombicuboctahedron
 
   
Circumradius ...
Vertex figure [3,H2], [4,h2], [42,H], [3,43]
Dihedral angles
(at margins)
  • between {3} and {4}:   arccos(-sqrt(2/3)) = 144.735610°
  • between {4} and {4}:   135°
  • between {3} and {(h,H,H)2}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {4} and {(h,H,H)2}:   90°
  • between {(h,H,H)2} and {(h,H,H)2}:   90°

The non-regular hexagons {(h,H,H)2} are diagonally elongated squares. Its vertex angles are h = 90° resp. H = 135°.


Incidence matrix according to Dynkin symbol

xwxx3ooqo&#xt   → height(1,2) = height(2,3) = height(3,4) = 1/sqrt(3) = 0.577350

o...3o...     | 3 * * * | 2 1 0 0 0 0 | 1 2 0 0 0  [3,H2]
.o..3.o..     | * 3 * * | 0 1 2 0 0 0 | 0 2 1 0 0  [4,h2]
..o.3..o.     | * * 6 * | 0 0 1 1 1 0 | 0 1 1 1 0  [42,H]
...o3...o     | * * * 3 | 0 0 0 0 2 2 | 0 0 1 2 1  [3,43]
--------------+---------+-------------+----------
x... ....     | 2 0 0 0 | 3 * * * * * | 1 1 0 0 0
oo..3oo..&#x  | 1 1 0 0 | * 3 * * * * | 0 2 0 0 0
.oo.3.oo.&#x  | 0 1 1 0 | * * 6 * * * | 0 1 1 0 0
..x. ....     | 0 0 2 0 | * * * 3 * * | 0 1 0 1 0
..oo3..oo&#x  | 0 0 1 1 | * * * * 6 * | 0 0 1 1 0
...x ....     | 0 0 0 2 | * * * * * 3 | 0 0 0 1 1
--------------+---------+-------------+----------
x...3o...     | 3 0 0 0 | 3 0 0 0 0 0 | 1 * * * *
xwx. ....&#xt | 2 2 2 0 | 1 2 2 1 0 0 | * 3 * * *  {(h,H,H)2}
.... .oqo&#xt | 0 1 2 1 | 0 0 2 0 2 0 | * * 3 * *
..xx ....&#x  | 0 0 2 2 | 0 0 0 1 2 1 | * * * 3 *
...x3...o     | 0 0 0 3 | 0 0 0 0 0 3 | * * * * 1

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