Acronym | pextet |
Name | partially (edge-)expanded tetrahedron |
| |
Vertex figure | [3,3,r,r], [3,R,R] |
Dihedral angles
(at margins) |
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Face vector | 8, 14, 8 |
Confer |
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The vertex angles of the rhombs {(r,R)2} are r = 45° resp. R = 135°.
Note that the x distances provided in the tower description in its tropal layers are pseudo edges only.
Incidence matrix according to Dynkin symbol
xoxo oxox&#xt → outer heights = 1/sqrt(2) = 0.707107 inner height = 1-1/sqrt(2) = 0.292893 o... o... | 2 * * * | 1 2 1 0 0 0 | 2 2 0 [3,3,r,r] .o.. .o.. | * 2 * * | 0 2 0 1 0 0 | 1 2 0 [3,R,R] ..o. ..o. | * * 2 * | 0 0 1 0 2 0 | 0 2 1 [3,R,R] ...o ...o | * * * 2 | 0 0 0 1 2 1 | 0 2 2 [3,3,r,r] --------------+---------+-------------+------ x... .... | 2 0 0 0 | 1 * * * * * | 2 0 0 oo.. oo..&#x | 1 1 0 0 | * 4 * * * * | 1 1 0 o.o. o.o.&#x | 1 0 1 0 | * * 2 * * * | 0 2 0 .o.o .o.o&#x | 0 1 0 1 | * * * 2 * * | 0 2 0 ..oo ..oo&#x | 0 0 1 1 | * * * * 4 * | 0 1 1 .... ...x | 0 0 0 2 | * * * * * 1 | 0 0 2 --------------+---------+-------------+------ xo.. ....&#x | 2 1 0 0 | 1 2 0 0 0 0 | 2 * * oooo oooo&#xr | 1 1 1 1 | 0 1 1 1 1 0 | * 4 * {(r,R)2} - ring: (ABDC) .... ..ox&#x | 0 0 1 2 | 0 0 0 0 2 1 | * * 2
or o... o... & | 4 * | 1 2 1 | 2 2 [3,3,r,r] .o.. .o.. & | * 4 | 0 2 1 | 1 2 [3,R,R] ----------------+-----+-------+---- x... .... & | 2 0 | 2 * * | 2 0 oo.. oo..&#x & | 1 1 | * 8 * | 1 1 o.o. o.o.&#x & | 1 1 | * * 4 | 0 2 ----------------+-----+-------+---- xo.. ....&#x & | 2 1 | 1 2 0 | 4 * oooo oooo&#xr | 2 2 | 0 2 2 | * 4 {(r,R)2} - ring: (ABDC)
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