Acronym | pextut |
Name | partially (edge-)expanded truncated tetrahedron |
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Vertex figure | [3,6,6], [3,4,r,6], [4,6,R] |
Dihedral angles
(at margins) |
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Face vector | 20, 34, 16 |
Confer |
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The vertex angles of the rhombs {(r,R)2} are r = 45° resp. R = 135°.
Incidence matrix according to Dynkin symbol
xuxuxo oxuxux&#xt → all but central heights = 1/sqrt(2) = 0.707107 central height = 1-1/sqrt(2) = 0.292893 o..... o..... | 2 * * * * * | 1 2 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 0 [3,6,6] .o.... .o.... | * 4 * * * * | 0 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 [3,4,r,6] ..o... ..o... | * * 4 * * * | 0 0 0 1 0 1 1 0 0 0 0 0 | 1 0 0 1 1 0 0 [4,6,R] ...o.. ...o.. | * * * 4 * * | 0 0 0 0 1 0 0 1 1 0 0 0 | 0 0 1 1 0 1 0 [4,6,R] ....o. ....o. | * * * * 4 * | 0 0 0 0 0 0 1 0 1 1 1 0 | 0 0 0 1 1 1 1 [3,4,r,6] .....o .....o | * * * * * 2 | 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 0 0 2 1 [3,6,6] ------------------+-------------+-------------------------+-------------- x..... ...... | 2 0 0 0 0 0 | 1 * * * * * * * * * * * | 2 0 0 0 0 0 0 oo.... oo....&#x | 1 1 0 0 0 0 | * 4 * * * * * * * * * * | 1 1 0 0 0 0 0 ...... .x.... | 0 2 0 0 0 0 | * * 2 * * * * * * * * * | 0 1 1 0 0 0 0 .oo... .oo...&#x | 0 1 1 0 0 0 | * * * 4 * * * * * * * * | 1 0 0 1 0 0 0 .o.o.. .o.o..&#x | 0 1 0 1 0 0 | * * * * 4 * * * * * * * | 0 0 1 1 0 0 0 ..x... ...... | 0 0 2 0 0 0 | * * * * * 2 * * * * * * | 1 0 0 0 1 0 0 ..o.o. ..o.o.&#x | 0 0 1 0 1 0 | * * * * * * 4 * * * * * | 0 0 0 1 1 0 0 ...... ...x.. | 0 0 0 2 0 0 | * * * * * * * 2 * * * * | 0 0 1 0 0 1 0 ...oo. ...oo.&#x | 0 0 0 1 1 0 | * * * * * * * * 4 * * * | 0 0 0 1 0 1 0 ....x. ...... | 0 0 0 0 2 0 | * * * * * * * * * 2 * * | 0 0 0 0 1 0 1 ....oo ....oo&#x | 0 0 0 0 1 1 | * * * * * * * * * * 4 * | 0 0 0 0 0 1 1 ...... .....x | 0 0 0 0 0 2 | * * * * * * * * * * * 1 | 0 0 0 0 0 2 0 ------------------+-------------+-------------------------+-------------- xux... ......&#xt | 2 2 2 0 0 0 | 1 2 0 2 0 1 0 0 0 0 0 0 | 2 * * * * * * ...... ox....&#x | 1 2 0 0 0 0 | 0 2 1 0 0 0 0 0 0 0 0 0 | * 2 * * * * * ...... .x.x..&#x | 0 2 0 2 0 0 | 0 0 1 0 2 0 0 1 0 0 0 0 | * * 2 * * * * .oooo. .oooo.&#xr | 0 1 1 1 1 0 | 0 0 0 1 1 0 1 0 1 0 0 0 | * * * 4 * * * {(r,R)2} ..x.x. ......&#x | 0 0 2 0 2 0 | 0 0 0 0 0 1 2 0 0 1 0 0 | * * * * 2 * * ...... ...xux&#xt | 0 0 0 2 2 2 | 0 0 0 0 0 0 0 1 2 0 2 1 | * * * * * 2 * ....xo ......&#x | 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 1 2 0 | * * * * * * 2
or o..... o..... & | 4 * * | 1 2 0 0 0 0 | 2 1 0 0 [3,6,6] .o.... .o.... & | * 8 * | 0 1 1 1 1 0 | 1 1 1 1 [3,4,r,6] ..o... ..o... & | * * 8 | 0 0 0 1 1 1 | 1 0 1 1 [4,6,R] --------------------+-------+-------------+-------- x..... ...... & | 2 0 0 | 2 * * * * * | 2 0 0 0 oo.... oo....&#x & | 1 1 0 | * 8 * * * * | 1 1 0 0 ...... .x.... & | 0 2 0 | * * 4 * * * | 0 1 1 0 .oo... .oo...&#x & | 0 1 1 | * * * 8 * * | 1 0 0 1 .o.o.. .o.o..&#x & | 0 1 1 | * * * * 8 * | 0 0 1 1 ..x... ...... & | 0 0 2 | * * * * * 4 | 1 0 1 0 --------------------+-------+-------------+-------- xux... ......&#xt & | 2 2 2 | 1 2 0 2 0 1 | 4 * * * ...... ox....&#x & | 1 2 0 | 0 2 1 0 0 0 | * 4 * * ...... .x.x..&#x & | 0 2 2 | 0 0 1 0 2 1 | * * 4 * .oooo. .oooo.&#xr | 0 2 2 | 0 0 0 2 2 0 | * * * 4 {(r,R)2}
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