Acronym | pabextet |
Name | partially bi-expanded tetrahedron |
| |
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
wxoq oqwx&#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 .oo. .oo.&#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} oooo oooo&#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 * * .xo. ....&#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} oooo oooo&#xr | 2 2 | 2 2 0 | * 4 * {(r,R)2} .... o..x&#x & | 1 2 | 0 2 1 | * * 4
© 2004-2024 | top of page |