Acronym tetdip Name tetrahedron-tetrahedron duoprism,vertex figure of he Circumradius sqrt(3)/2 = 0.866025 Inradius 1/sqrt(24) = 0.204124 Volume 1/72 = 0.013889 Surface 1/sqrt(6) = 0.408248 Dihedral angles at triddip between tratet and tratet:   90° at tepe between tratet and tratet:   arccos(1/3) = 70.528779° Confer general polytopal classes: noble polytopes   segmentopeta   analogs: simplex duoprism Sn×Sn Externallinks

This duoprism can also be seen as segmentopeton, cf. below. That one can be blended (externally) at its larger base with the one with inverted alignment, i.e. with tetal tratet, in order to produce a bistratic stack, which still happens to be orbiform (oxo3ooo oxx3ooo3xoo&#xt).

Incidence matrix according to Dynkin symbol

```x3o3o x3o3o

. . . . . . | 16 |  3  3 |  3  9  3 | 1  9  9 1 | 3  9 3 | 3 3
------------+----+-------+----------+-----------+--------+----
x . . . . . |  2 | 24  * |  2  3  0 | 1  6  3 0 | 3  6 1 | 3 2
. . . x . . |  2 |  * 24 |  0  3  2 | 0  3  6 1 | 1  6 3 | 2 3
------------+----+-------+----------+-----------+--------+----
x3o . . . . |  3 |  3  0 | 16  *  * | 1  3  0 0 | 3  3 0 | 3 1
x . . x . . |  4 |  2  2 |  * 36  * | 0  2  2 0 | 1  4 1 | 2 2
. . . x3o . |  3 |  0  3 |  *  * 16 | 0  0  3 1 | 0  3 3 | 1 3
------------+----+-------+----------+-----------+--------+----
x3o3o . . . ♦  4 |  6  0 |  4  0  0 | 4  *  * * | 3  0 0 | 3 0
x3o . x . . ♦  6 |  6  3 |  2  3  0 | * 24  * * | 1  2 0 | 2 1
x . . x3o . ♦  6 |  3  6 |  0  3  2 | *  * 24 * | 0  2 1 | 1 2
. . . x3o3o ♦  4 |  0  6 |  0  0  4 | *  *  * 4 | 0  0 3 | 0 3
------------+----+-------+----------+-----------+--------+----
x3o3o x . . ♦  8 | 12  4 |  8  6  0 | 2  4  0 0 | 6  * * | 2 0
x3o . x3o . ♦  9 |  9  9 |  3  9  3 | 0  3  3 0 | * 16 * | 1 1
x . . x3o3o ♦  8 |  4 12 |  0  6  8 | 0  0  4 2 | *  * 6 | 0 2
------------+----+-------+----------+-----------+--------+----
x3o3o x3o . ♦ 12 | 18 12 | 12 18  4 | 3 12  6 0 | 3  4 0 | 4 *
x3o . x3o3o ♦ 12 | 12 18 |  4 18 12 | 0  6 12 3 | 0  4 3 | * 4
```
```or
. . . . . .    | 16 |  6 |  6  9 | 2 18 |  6  9 | 6
---------------+----+----+-------+------+-------+--
x . . . . .  & |  2 | 48 |  2  3 | 1  9 |  4  6 | 5
---------------+----+----+-------+------+-------+--
x3o . . . .  & |  3 |  3 | 32  * | 1  3 |  3  3 | 4
x . . x . .    |  4 |  4 |  * 36 | 0  4 |  2  4 | 4
---------------+----+----+-------+------+-------+--
x3o3o . . .  & ♦  4 |  6 |  4  0 | 8  * |  3  0 | 3
x3o . x . .  & ♦  6 |  9 |  2  3 | * 48 |  1  2 | 3
---------------+----+----+-------+------+-------+--
x3o3o x . .  & ♦  8 | 16 |  8  6 | 2  4 | 12  * | 2
x3o . x3o .    ♦  9 | 18 |  6  9 | 0  6 |  * 16 | 2
---------------+----+----+-------+------+-------+--
x3o3o x3o .  & ♦ 12 | 30 | 16 18 | 3 18 |  3  4 | 8
```

```ox3oo xx3oo3oo&#x   → height = sqrt(2/3) = 0.816497
(tet || tratet)

o.3o. o.3o.3o.    | 4  * | 3  3  0  0 | 3  3  9 0  0  0 | 1 1  9  9 0  0 0 | 3  9 3 0 0 | 3 3 0
.o3.o .o3.o3.o    | * 12 | 0  1  2  3 | 0  2  3 1  6  3 | 0 1  6  3 3  6 1 | 3  6 1 3 2 | 3 2 1
------------------+------+------------+-----------------+------------------+------------+------
.. .. x. .. ..    | 2  0 | 6  *  *  * | 2  0  3 0  0  0 | 1 0  3  6 0  0 0 | 1  6 3 0 0 | 2 2 0
oo3oo oo3oo3oo&#x | 1  1 | * 12  *  * | 0  2  3 0  0  0 | 0 1  6  3 0  0 0 | 3  6 1 0 0 | 3 2 0
.x .. .. .. ..    | 0  2 | *  * 12  * | 0  1  0 1  3  0 | 0 1  3  0 3  3 0 | 3  3 0 3 1 | 3 1 1
.. .. .x .. ..    | 0  2 | *  *  * 18 | 0  0  1 0  2  2 | 0 0  2  2 1  4 1 | 1  4 1 2 2 | 2 2 1
------------------+------+------------+-----------------+------------------+------------+------
.. .. x.3o. ..    | 3  0 | 3  0  0  0 | 4  *  * *  *  * | 1 0  0  3 0  0 0 | 0  3 3 0 0 | 1 3 0
ox .. .. .. ..&#x | 1  2 | 0  2  1  0 | * 12  * *  *  * | 0 1  3  0 0  0 0 | 3  3 0 0 0 | 3 1 0
.. .. xx .. ..&#x | 2  2 | 1  2  0  1 | *  * 18 *  *  * | 0 0  2  2 0  0 0 | 1  4 1 0 0 | 2 2 0
.x3.o .. .. ..    | 0  3 | 0  0  3  0 | *  *  * 4  *  * | 0 1  0  0 3  0 0 | 3  0 0 3 0 | 3 0 1
.x .. .x .. ..    | 0  4 | 0  0  2  2 | *  *  * * 18  * | 0 0  1  0 1  2 0 | 1  2 0 2 1 | 2 1 1
.. .. .x3.o ..    | 0  3 | 0  0  0  3 | *  *  * *  * 12 | 0 0  0  1 0  2 1 | 0  2 1 1 2 | 1 2 1
------------------+------+------------+-----------------+------------------+------------+------
.. .. x.3o.3o.    ♦ 4  0 | 6  0  0  0 | 4  0  0 0  0  0 | 1 *  *  * *  * * | 0  0 3 0 0 | 0 3 0
ox3oo .. .. ..&#x ♦ 1  3 | 0  3  3  0 | 0  3  0 1  0  0 | * 4  *  * *  * * | 3  0 0 0 0 | 3 0 0
ox .. xx .. ..&#x ♦ 2  4 | 1  4  2  2 | 0  2  2 0  1  0 | * * 18  * *  * * | 1  2 0 0 0 | 2 1 0
.. .. xx3oo ..&#x ♦ 3  3 | 3  3  0  3 | 1  0  3 0  0  1 | * *  * 12 *  * * | 0  2 1 0 0 | 1 2 0
.x3.o .x .. ..    ♦ 0  6 | 0  0  6  3 | 0  0  0 2  3  0 | * *  *  * 6  * * | 1  0 0 2 0 | 2 0 1
.x .. .x3.o ..    ♦ 0  6 | 0  0  3  6 | 0  0  0 0  3  2 | * *  *  * * 12 * | 0  1 0 1 1 | 1 1 1
.. .. .x3.o3.o    ♦ 0  4 | 0  0  0  6 | 0  0  0 0  0  4 | * *  *  * *  * 3 | 0  0 1 0 2 | 0 2 1
------------------+------+------------+-----------------+------------------+------------+------
ox3oo xx .. ..&#x ♦ 2  6 | 1  6  6  3 | 0  6  3 2  3  0 | 0 2  3  0 1  0 0 | 6  * * * * | 2 0 0
ox .. xx3oo ..&#x ♦ 3  6 | 3  6  3  6 | 1  3  6 0  3  2 | 0 0  3  2 0  1 0 | * 12 * * * | 1 1 0
.. .. xx3oo3oo&#x ♦ 4  4 | 6  4  0  6 | 4  0  6 0  0  4 | 1 0  0  4 0  0 1 | *  * 3 * * | 0 2 0
.x3.o .x3.o ..    ♦ 0  9 | 0  0  9  9 | 0  0  0 3  9  3 | 0 0  0  0 3  3 0 | *  * * 4 * | 1 0 1
.x .. .x3.o3.o    ♦ 0  8 | 0  0  4 12 | 0  0  0 0  6  8 | 0 0  0  0 0  4 2 | *  * * * 3 | 0 1 1
------------------+------+------------+-----------------+------------------+------------+------
ox3oo xx3oo ..&#x ♦ 3  9 | 3  9  9  9 | 1  9  9 3  9  3 | 0 3  9  3 3  3 0 | 3  3 0 1 0 | 4 * *
ox .. xx3oo3oo&#x ♦ 4  8 | 6  8  4 12 | 4  4 12 0  6  8 | 1 0  6  8 0  4 2 | 0  4 2 0 1 | * 3 *
.x3.o .x3.o3.o    ♦ 0 12 | 0  0 12 18 | 0  0  0 4 18 12 | 0 0  0  0 6 12 3 | 0  0 0 4 3 | * * 1
```

```xo ox xx3oo3oo&#x   → height = 1/sqrt(2) = 0.707107
(tepe || lacing-ortho tepe)

o. o. o.3o.3o.    | 8 * | 1  3  2 0  0 | 3 3 2 1  6 0 0 | 3 1 1  6  3  6 0 0 | 1 3 6 3 2 0 | 3 2 1
.o .o .o3.o3.o    | * 8 | 0  0  2 1  3 | 0 0 1 2  6 3 3 | 0 0 1  3  6  6 3 1 | 0 3 3 6 2 1 | 3 1 2
------------------+-----+--------------+----------------+--------------------+-------------+------
x. .. .. .. ..    | 2 0 | 4  *  * *  * | 3 0 2 0  0 0 0 | 3 0 1  6  0  0 0 0 | 1 3 6 0 0 0 | 3 2 0
.. .. x. .. ..    | 2 0 | * 12  * *  * | 1 2 0 0  2 0 0 | 2 1 0  2  1  0 0 0 | 1 1 4 2 2 0 | 2 2 1
oo oo oo3oo3oo&#x | 1 1 | *  * 16 *  * | 0 0 1 1  3 0 0 | 0 0 1  3  3  3 0 0 | 0 3 3 3 1 0 | 3 1 1
.. .x .. .. ..    | 0 2 | *  *  * 4  * | 0 0 0 2  0 3 0 | 0 0 1  0  6  0 3 0 | 0 3 0 6 0 1 | 3 0 2
.. .. .x .. ..    | 0 2 | *  *  * * 12 | 0 0 0 0  2 1 2 | 0 0 0  1  2  4 2 1 | 0 1 2 4 2 1 | 2 1 2
------------------+-----+--------------+----------------+--------------------+-------------+------
x. .. x. .. ..    | 4 0 | 2  2  0 0  0 | 6 * * *  * * * | 2 0 0  2  0  0 0 0 | 1 1 4 0 0 0 | 2 2 0
.. .. x.3o. ..    | 3 0 | 0  3  0 0  0 | * 8 * *  * * * | 1 1 0  0  0  2 0 0 | 1 0 2 1 2 0 | 1 2 1
xo .. .. .. ..&#x | 2 1 | 1  0  2 0  0 | * * 8 *  * * * | 0 0 1  3  0  0 0 0 | 0 3 3 0 0 0 | 3 1 0
.. ox .. .. ..&#x | 1 2 | 0  0  2 1  0 | * * * 8  * * * | 0 0 1  0  3  0 0 0 | 0 3 0 3 0 0 | 3 0 1
.. .. xx .. ..&#x | 2 2 | 0  1  2 0  1 | * * * * 24 * * | 0 0 0  1  1  2 0 0 | 0 1 2 2 1 0 | 2 1 1
.. .x .x .. ..    | 0 4 | 0  0  0 2  2 | * * * *  * 6 * | 0 0 0  0  2  0 2 0 | 0 1 0 4 0 1 | 2 0 2
.. .. .x3.o ..    | 0 3 | 0  0  0 0  3 | * * * *  * * 8 | 0 0 0  0  0  2 1 1 | 0 0 1 2 2 1 | 1 1 2
------------------+-----+--------------+----------------+--------------------+-------------+------
x. .. x.3o. ..    ♦ 6 0 | 3  6  0 0  0 | 3 2 0 0  0 0 0 | 4 * *  *  *  * * * | 1 0 2 0 0 0 | 1 2 0
.. .. x.3o.3o.    ♦ 4 0 | 0  6  0 0  0 | 0 4 0 0  0 0 0 | * 2 *  *  *  * * * | 1 0 0 0 2 0 | 0 2 1
xo ox .. .. ..&#x ♦ 2 2 | 1  0  4 1  0 | 0 0 2 2  0 0 0 | * * 4  *  *  * * * | 0 3 0 0 0 0 | 3 0 0
xo .. xx .. ..&#x ♦ 4 2 | 2  2  4 0  1 | 1 0 2 0  2 0 0 | * * * 12  *  * * * | 0 1 2 0 0 0 | 2 1 0
.. ox xx .. ..&#x ♦ 2 4 | 0  1  4 2  2 | 0 0 0 2  2 1 0 | * * *  * 12  * * * | 0 1 0 2 0 0 | 2 0 1
.. .. xx3oo ..&#x ♦ 3 3 | 0  3  3 0  3 | 0 1 0 0  3 0 1 | * * *  *  * 16 * * | 0 0 1 1 1 0 | 1 1 1
.. .x .x3.o ..    ♦ 0 6 | 0  0  0 3  6 | 0 0 0 0  0 3 2 | * * *  *  *  * 4 * | 0 0 0 2 0 1 | 1 0 2
.. .. .x3.o3.o    ♦ 0 4 | 0  0  0 0  6 | 0 0 0 0  0 0 4 | * * *  *  *  * * 2 | 0 0 0 0 2 1 | 0 1 2
------------------+-----+--------------+----------------+--------------------+-------------+------
x. .. x.3o.3o.    ♦ 8 0 | 4 12  0 0  0 | 6 8 0 0  0 0 0 | 4 2 0  0  0  0 0 0 | 1 * * * * * | 0 2 0
xo ox xx .. ..&#x ♦ 4 4 | 2  2  8 2  2 | 1 0 4 4  4 1 0 | 0 0 2  2  2  0 0 0 | * 6 * * * * | 2 0 0
xo .. xx3oo ..&#x ♦ 6 3 | 3  6  6 0  3 | 3 2 3 0  6 0 1 | 1 0 0  3  0  2 0 0 | * * 8 * * * | 1 1 0
.. ox xx3oo ..&#x ♦ 3 6 | 0  3  6 3  6 | 0 1 0 3  6 3 2 | 0 0 0  0  3  2 1 0 | * * * 8 * * | 1 0 1
.. .. xx3oo3oo&#x ♦ 4 4 | 0  6  4 0  6 | 0 4 0 0  6 0 4 | 0 1 0  0  0  4 0 1 | * * * * 4 * | 0 1 1
.. .x .x3.o3.o    ♦ 0 8 | 0  0  0 4 12 | 0 0 0 0  0 6 8 | 0 0 0  0  0  0 4 2 | * * * * * 1 | 0 0 1
------------------+-----+--------------+----------------+--------------------+-------------+------
xo ox xx3oo ..&#x ♦ 6 6 | 3  6 12 3  6 | 3 2 6 6 12 3 2 | 1 0 3  6  6  4 1 0 | 0 3 2 2 0 0 | 4 * *
xo .. xx3oo3oo&#x ♦ 8 4 | 4 12  8 0  6 | 6 8 4 0 12 0 4 | 4 2 0  6  0  8 0 1 | 1 0 4 0 2 0 | * 2 *
.. ox xx3oo3oo&#x ♦ 4 8 | 0  6  8 4 12 | 0 4 0 4 12 6 8 | 0 1 0  0  6  8 4 2 | 0 0 0 4 2 1 | * * 2
```
```or
o. o. o.3o.3o.    & | 16 | 1  3  2 |  3  3  3  6 | 3 1 1  9  6 | 1 3  9 2 | 3 3
--------------------+----+---------+-------------+-------------+----------+----
x. .. .. .. ..    & |  2 | 8  *  * |  3  0  2  0 | 3 0 1  6  0 | 1 3  6 0 | 3 2
.. .. x. .. ..    & |  2 | * 24  * |  1  2  0  2 | 2 1 0  3  4 | 1 1  6 2 | 2 3
oo oo oo3oo3oo&#x   |  2 | *  * 16 |  0  0  2  3 | 0 0 1  6  3 | 0 3  6 1 | 3 2
--------------------+----+---------+-------------+-------------+----------+----
x. .. x. .. ..    & |  4 | 2  2  0 | 12  *  *  * | 2 0 0  2  0 | 1 1  4 0 | 2 2
.. .. x.3o. ..    & |  3 | 0  3  0 |  * 16  *  * | 1 1 0  0  2 | 1 0  3 2 | 1 3
xo .. .. .. ..&#x & |  3 | 1  0  2 |  *  * 16  * | 0 0 1  3  0 | 0 3  3 0 | 3 1
.. .. xx .. ..&#x   |  4 | 0  2  2 |  *  *  * 24 | 0 0 0  2  2 | 0 1  4 1 | 2 2
--------------------+----+---------+-------------+-------------+----------+----
x. .. x.3o. ..    & ♦  6 | 3  6  0 |  3  2  0  0 | 8 * *  *  * | 1 0  2 0 | 1 2
.. .. x.3o.3o.    & ♦  4 | 0  6  0 |  0  4  0  0 | * 4 *  *  * | 1 0  0 2 | 0 3
xo ox .. .. ..&#x   ♦  4 | 2  0  4 |  0  0  4  0 | * * 4  *  * | 0 3  0 0 | 3 0
xo .. xx .. ..&#x & ♦  6 | 2  3  4 |  1  0  2  2 | * * * 24  * | 0 1  2 0 | 2 1
.. .. xx3oo ..&#x   ♦  6 | 0  6  3 |  0  2  0  3 | * * *  * 16 | 0 0  2 1 | 1 2
--------------------+----+---------+-------------+-------------+----------+----
x. .. x.3o.3o.    & ♦  8 | 4 12  0 |  6  8  0  0 | 4 2 0  0  0 | 2 *  * * | 2 0
xo ox xx .. ..&#x   ♦  8 | 4  4  8 |  2  0  8  4 | 0 0 2  4  0 | * 6  * * | 2 0
xo .. xx3oo ..&#x & ♦  9 | 3  9  6 |  3  3  3  6 | 1 0 0  3  2 | * * 16 * | 1 1
.. .. xx3oo3oo&#x   ♦  8 | 0 12  4 |  0  8  0  6 | 0 2 0  0  4 | * *  * 4 | 0 2
--------------------+----+---------+-------------+-------------+----------+----
xo ox xx3oo ..&#x   ♦ 12 | 6 12 12 |  6  4 12 12 | 2 0 3 12  4 | 0 3  4 0 | 4 *
xo .. xx3oo3oo&#x & ♦ 12 | 4 18  8 |  6 12  4 12 | 4 3 0  6  8 | 1 0  4 2 | * 4
```