Acronym tedpy Name tetrahedral dipyramid General of army (is itself convex) Colonel of regiment (is itself locally convex) Confer tetrahedrochora   Blind polytopes

Incidence matrix according to Dynkin symbol

```oxo3ooo3ooo&#xt   → both heights = sqrt(5/8) = 0.790569
(pt || pseudo tet || pt)

o..3o..3o..    | 1 * * ♦ 4 0 0 | 6 0 0 | 4 0
.o.3.o.3.o.    | * 4 * ♦ 1 3 1 | 3 3 3 | 3 3
..o3..o3..o    | * * 1 ♦ 0 0 4 | 0 0 6 | 0 4
---------------+-------+-------+-------+----
oo.3oo.3oo.&#x | 1 1 0 | 4 * * | 3 0 0 | 3 0
.x.3...3...    | 0 2 0 | * 6 * | 1 2 1 | 2 2
.oo3.oo3.oo&#x | 0 1 1 | * * 4 | 0 0 3 | 0 3
---------------+-------+-------+-------+----
ox.3...3...&#x | 1 2 0 | 2 1 0 | 6 * * | 2 0
.x.3.o.3...    | 0 3 0 | 0 3 0 | * 4 * | 1 1
.xo3...3...&#x | 0 2 1 | 0 1 2 | * * 6 | 0 2
---------------+-------+-------+-------+----
ox.3oo.3...&#x ♦ 1 3 0 | 3 3 0 | 3 1 0 | 4 *
.xo3.oo3...&#x ♦ 0 3 1 | 0 3 3 | 0 1 3 | * 4

or
o..3o..3o..     & | 2 * ♦ 4 0 |  6 0 | 4
.o.3.o.3.o.       | * 4 ♦ 2 3 |  6 3 | 6
------------------+-----+-----+------+--
oo.3oo.3oo.&#x  & | 1 1 | 8 * |  3 0 | 3
.x.3...3...       | 0 2 | * 6 |  2 2 | 4
------------------+-----+-----+------+--
ox.3...3...&#x  & | 1 2 | 2 1 | 12 * | 2
.x.3.o.3...       | 0 3 | 0 3 |  * 4 | 2
------------------+-----+-----+------+--
ox.3oo.3...&#x  & ♦ 1 3 | 3 3 |  3 1 | 8
```

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