Acronym ...
Name mono lowered truncated cube
 
   
Circumradius ...
Vertex figure [3,8,8], [3,8,H], [4,8,h], [4,6,H]
Dihedral angles
(at margins)
  • between {4} and {(h,H,H)2}:   135°
  • between {3} and {8}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {4} and {6}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {6} and {(h,H,H)2}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {8} and {8}:   90°
  • between {8} 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

xwxoo3xxwwx&#xt   → height(1,2) = height(2,3) = height(4,5) = 1/sqrt(3) = 0.577350
                    height(3,4) = sqrt(2/3) = 0.816497

o....3o....     | 6 * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 0  [4,6,H]
.o...3.o...     | * 6 * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 0  [4,8,h]
..o..3..o..     | * * 6 * * | 0 0 0 0 1 1 1 0 0 | 0 1 0 1 1 0  [3,8,H]
...o.3...o.     | * * * 3 * | 0 0 0 0 0 0 2 1 0 | 0 0 0 2 1 0  [3,8,8]
....o3....o     | * * * * 3 | 0 0 0 0 0 0 0 1 2 | 0 0 0 2 0 1  [3,8,8]
----------------+-----------+-------------------+------------
x.... .....     | 2 0 0 0 0 | 3 * * * * * * * * | 1 1 0 0 0 0
..... x....     | 2 0 0 0 0 | * 3 * * * * * * * | 1 0 1 0 0 0
oo...3oo...&#x  | 1 1 0 0 0 | * * 6 * * * * * * | 0 1 1 0 0 0
..... .x...     | 0 2 0 0 0 | * * * 3 * * * * * | 0 0 1 1 0 0
.oo..3.oo..&#x  | 0 1 1 0 0 | * * * * 6 * * * * | 0 1 0 1 0 0
..x.. .....     | 0 0 2 0 0 | * * * * * 3 * * * | 0 1 0 0 1 0
..oo.3..oo.&#x  | 0 0 1 1 0 | * * * * * * 6 * * | 0 0 0 1 1 0
...oo3...oo&#x  | 0 0 0 1 1 | * * * * * * * 3 * | 0 0 0 2 0 0
..... ....x     | 0 0 0 0 2 | * * * * * * * * 3 | 0 0 0 1 0 1
----------------+-----------+-------------------+------------
x....3x....     | 6 0 0 0 0 | 3 3 0 0 0 0 0 0 0 | 1 * * * * *
xwx.. .....&#xt | 2 2 2 0 0 | 1 0 2 0 2 1 0 0 0 | * 3 * * * *  {(h,H,H)2}
..... xx...&#x  | 2 2 0 0 0 | 0 1 2 1 0 0 0 0 0 | * * 3 * * *
..... .xwwx&#xt | 0 2 2 2 2 | 0 0 0 1 2 0 2 2 1 | * * * 3 * *
..xo. .....&#x  | 0 0 2 1 0 | 0 0 0 0 0 1 2 0 0 | * * * * 3 *
....o3....x     | 0 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * 1

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