Acronym | penit (old: pendpy) |
Name |
pentachoral (line-)tegum, pentachoral dipyramid |
Face vector | 7, 20, 30, 25, 10 |
Confer |
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Incidence matrix according to Dynkin symbol
oxo3ooo3ooo3ooo&#xt → both heights = sqrt(3/5) = 0.774597 (pt || pseudo pen || pt) o..3o..3o..3o.. | 1 * * ♦ 5 0 0 | 10 0 0 | 10 0 0 | 5 0 .o.3.o.3.o.3.o. | * 5 * ♦ 1 4 1 | 4 6 4 | 6 4 6 | 4 4 ..o3..o3..o3..o | * * 1 ♦ 0 0 5 | 0 0 10 | 0 0 10 | 0 5 -------------------+-------+--------+----------+---------+---- oo.3oo.3oo.3oo.&#x | 1 1 0 | 5 * * ♦ 4 0 0 | 6 0 0 | 4 0 .x. ... ... ... | 0 2 0 | * 10 * ♦ 1 3 1 | 3 3 3 | 3 3 .oo3.oo3.oo3.oo&#x | 0 1 1 | * * 5 ♦ 0 0 4 | 0 0 6 | 0 4 -------------------+-------+--------+----------+---------+---- ox. ... ... ...&#x | 1 2 0 | 2 1 0 | 10 * * | 3 0 0 | 3 0 .x.3.o. ... ... | 0 3 0 | 0 3 0 | * 10 * | 1 2 1 | 2 2 .xo ... ... ...&#x | 0 2 1 | 0 1 2 | * * 10 | 0 0 3 | 0 3 -------------------+-------+--------+----------+---------+---- ox.3oo. ... ...&#x ♦ 1 3 0 | 3 3 0 | 3 1 0 | 10 * * | 2 0 .x.3.o.3.o. ... ♦ 0 4 0 | 0 6 0 | 0 4 0 | * 5 * | 1 1 .xo3.oo ... ...&#x ♦ 0 3 1 | 0 3 3 | 0 1 3 | * * 10 | 0 2 -------------------+-------+--------+----------+---------+---- ox.3oo.3oo. ...&#x ♦ 1 4 0 | 4 6 0 | 6 4 0 | 4 1 0 | 5 * .xo3.oo3.oo ...&#x ♦ 0 4 1 | 0 6 4 | 0 4 6 | 0 1 4 | * 5
or o..3o..3o..3o.. & | 2 * ♦ 5 0 | 10 0 | 10 0 | 5 .o.3.o.3.o.3.o. | * 5 ♦ 2 4 | 8 6 | 12 4 | 8 ----------------------+-----+-------+-------+------+--- oo.3oo.3oo.3oo.&#x & | 1 1 | 10 * ♦ 4 0 | 6 0 | 4 .x. ... ... ... | 0 2 | * 10 ♦ 2 3 | 6 3 | 6 ----------------------+-----+-------+-------+------+--- ox. ... ... ...&#x & | 1 2 | 2 1 | 20 * | 3 0 | 3 .x.3.o. ... ... | 0 3 | 0 3 | * 10 | 2 2 | 4 ----------------------+-----+-------+-------+------+--- ox.3oo. ... ...&#x & ♦ 1 3 | 3 3 | 3 1 | 20 * | 2 .x.3.o.3.o. ... ♦ 0 4 | 0 6 | 0 4 | * 5 | 2 ----------------------+-----+-------+-------+------+--- ox.3oo.3oo. ...&#x & ♦ 1 4 | 4 6 | 6 4 | 4 1 | 10
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