| Acronym | pabextet |
| Name | partially bi-expanded tetrahedron |
| VRML |
|
| Vertex figure | [3,r,h,r], [3,R,H] |
|
Dihedral angles
(at margins) |
|
| Face vector | 12, 20, 10 |
| Confer |
|
The vertex angles of the rhombs {(r,R)2} are r = 45° resp. R = 135°. Those of the non-regular hexagons {(h,H,H)2} are h = 90° resp. H = 135°.
Incidence matrix according to Dynkin symbol
(wx)(oq) (oq)(wx)&#xr → height(1,2) = height(3,4) = 0
height(1,4) = height(2,3) = 1/sqrt(2) = 0.707107
(o.)(..) (o.)(..) | 2 * * * | 2 2 0 0 0 0 | 1 2 1 0 0 [3,r,h,r]
(.o)(..) (.o)(..) | * 4 * * | 1 0 1 1 0 0 | 1 1 0 1 0 [3,R,H]
(..)(o.) (..)(o.) | * * 2 * | 0 0 0 2 2 0 | 0 2 0 1 1 [3,r,h,r]
(..)(.o) (..)(.o) | * * * 4 | 0 1 0 0 1 1 | 0 1 1 0 1 [3,R,H]
------------------------+---------+-------------+----------
(oo) .. (oo) .. &#x | 1 1 0 0 | 4 * * * * * | 1 1 0 0 0
(o.)(.o) (o.)(.o)&#x | 1 0 0 1 | * 4 * * * * | 0 1 1 0 0
.x .. .. .. | 0 2 0 0 | * * 2 * * * | 1 0 0 1 0
(.o)(o.) (.o)(o.)&#x | 0 1 1 0 | * * * 4 * * | 0 1 0 1 0
.. (oo) .. (oo)&#x | 0 0 1 1 | * * * * 4 * | 0 1 0 0 1
.. .. .. .x | 0 0 0 2 | * * * * * 2 | 0 0 1 0 1
------------------------+---------+-------------+----------
(wx) .. (oq) .. &#(zx) | 2 4 0 0 | 4 0 2 0 0 0 | 1 * * * * {(h,H,H)2}
(oo)(oo) (oo)(oo)&#xr | 1 1 1 1 | 1 1 0 1 1 0 | * 4 * * * {(r,R)2}
.. .. (o.)(.x)&#x | 1 0 0 2 | 0 2 0 0 0 1 | * * 2 * *
(.x)(o.) .. .. &#x | 0 2 1 0 | 0 0 1 2 0 0 | * * * 2 *
.. (oq) .. (wx)&#(zx) | 0 0 2 4 | 0 0 0 0 4 2 | * * * * 1 {(h,H,H)2}
or
(o.) .. (o.) .. & | 4 * | 2 2 0 | 1 2 1 [3,r,h,r]
(.o) .. (.o) .. & | * 8 | 1 1 1 | 1 1 1 [3,R,H]
--------------------------+-----+-------+------
(oo) .. (oo) .. &#x & | 1 1 | 8 * * | 1 1 0
(o.)(.o) (o.)(.o)&#x & | 1 1 | * 8 * | 0 1 1
.x .. .. .. & | 0 2 | * * 4 | 1 0 1
--------------------------+-----+-------+------
(wx) .. (oq) .. &#(zx) & | 2 4 | 4 0 2 | 2 * * {(h,H,H)2}
(oo)(oo) (oo)(oo)&#xr | 2 2 | 2 2 0 | * 4 * {(r,R)2}
.. .. (o.)(.x)&#x & | 1 2 | 0 2 1 | * * 4
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