Acronym pabextut
Name partially bi-expanded truncated tetrahedron
 
Vertex figure [3,4,r,6], [4,6,R], [3,4,h,4], [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 {(r,R)2}:   135°
  • between {4} and {(h,H,H)2}:   135°
  • between {6} and {(r,R)2}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {6} and {(h,H,H)2}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {3} and {6}:   arccos(-1/3) = 109.471221°
Confer
uniform relative:
tet  
related CnRFs:
pextut   patex sirco  
general polytopal classes:
partial Stott expansions  

The vertex angles of the rhombs {(r,R)2} are r = 45° resp. R = 135°. Those of non-regular hexagons {(h,H,H)2} are h = 90° resp. H = 135°.


Incidence matrix

8 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 0  [3,4,r,6]
* 8 * * | 0 1 1 0 1 0 0 | 1 1 0 1 0  [4,6,R]
* * 4 * | 0 0 0 2 0 2 0 | 0 0 1 2 1  [3,4,h,4]
* * * 8 | 0 0 0 0 1 1 1 | 0 1 0 1 1  [4,6,H]
--------+---------------+----------
2 0 0 0 | 4 * * * * * * | 0 1 1 0 0
1 1 0 0 | * 8 * * * * * | 1 0 0 1 0  {(r,R)2}-{4}
1 1 0 0 | * * 8 * * * * | 1 1 0 0 0  {(r,R)2}-{6}
1 0 1 0 | * * * 8 * * * | 0 0 1 1 0
0 1 0 1 | * * * * 8 * * | 0 1 0 1 0
0 0 1 1 | * * * * * 8 * | 0 0 0 1 1
0 0 0 2 | * * * * * * 4 | 0 1 0 0 1
--------+---------------+----------
2 2 0 0 | 0 2 2 0 0 0 0 | 4 * * * *  {(r,R)2}
2 2 0 2 | 1 0 2 0 2 0 1 | * 4 * * *  {6}
2 0 1 0 | 1 0 0 2 0 0 0 | * * 4 * *  {3}
1 1 1 1 | 0 1 0 1 1 1 0 | * * * 8 *  {4}
0 0 2 4 | 0 0 0 0 0 4 2 | * * * * 2  {(h,H,H)2}

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