Acronym patex sirco
Name partially tetrahedrally-expanded small rhombicuboctahedron,
tetrahedrally lowered small rhombicuboctahedron,
partially tri-expanded truncated tetrahedron
 
Circumradius ...
Vertex figure [3,4,3,h], [4,6,H]
Dihedral angles
(at margins)
  • between {3} and {4}:   arccos(-sqrt(2/3)) = 144.735610°
  • between {4} and {6}:   arccos(-sqrt(2/3)) = 144.735610°
  • between {4} and {(h,H,H)2}:   135°
  • between {6} and {(h,H,H)2}:   arccos(-1/sqrt(3)) = 125.264390°
Confer
uniform relative:
tut  
related CnRFs:
pextut   pabextut  
general polytopal classes:
partial Stott expansions  

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

wx3xx3oq&#zx   → height = 0
(tegum sum of (w,x)-tut and (x,x,q)-toe)

o.3o.3o.     | 12  * |  2  2  0  0 | 1 1  2 0  [3,4,3,h]
.o3.o3.o     |  * 24 |  0  1  1  1 | 0 1  1 1  [4,6,H]
-------------+-------+-------------+---------
.. x. ..     |  2  0 | 12  *  *  * | 1 0  1 0
oo3oo3oo&#x  |  1  1 |  * 24  *  * | 0 1  1 0
.x .. ..     |  0  2 |  *  * 12  * | 0 1  0 1
.. .x ..     |  0  2 |  *  *  * 12 | 0 0  1 1
-------------+-------+-------------+---------
.. x.3o.     |  3  0 |  3  0  0  0 | 4 *  * *
wx .. oq&#zx |  2  4 |  0  4  2  0 | * 6  * *  {(h,H,H)2}
.. xx ..&#x  |  2  2 |  1  2  0  1 | * * 12 *
.x3.x ..     |  0  6 |  0  0  3  3 | * *  * 4

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