Acronym tratrip (old: triddippip) Name triangle triangular-prism duoprism,triangle-triangle duoprismatic prism Circumradius sqrt(11/12) = 0.957427 Confer n,m-dippip   3,n-dippip

Incidence matrix according to Dynkin symbol

```x x3o x3o

. . . . . | 18 | 1  2  2 | 2 2 1  4 1 | 1 4 1 2 2 | 2 2 1
----------+----+---------+------------+-----------+------
x . . . . |  2 | 9  *  * | 2 2 0  0 0 | 1 4 1 0 0 | 2 2 0
. x . . . |  2 | * 18  * | 1 0 1  2 0 | 1 2 0 2 1 | 2 1 1
. . . x . |  2 | *  * 18 | 0 1 0  2 1 | 0 2 1 1 2 | 1 2 1
----------+----+---------+------------+-----------+------
x x . . . |  4 | 2  2  0 | 9 * *  * * | 1 2 0 0 0 | 2 1 0
x . . x . |  4 | 2  0  2 | * 9 *  * * | 0 2 1 0 0 | 1 2 0
. x3o . . |  3 | 0  3  0 | * * 6  * * | 1 0 0 2 0 | 2 0 1
. x . x . |  4 | 0  2  2 | * * * 18 * | 0 1 0 1 1 | 1 1 1
. . . x3o |  3 | 0  0  3 | * * *  * 6 | 0 0 1 0 2 | 0 2 1
----------+----+---------+------------+-----------+------
x x3o . . ♦  6 | 3  6  0 | 3 0 2  0 0 | 3 * * * * | 2 0 0
x x . x . ♦  8 | 4  4  4 | 2 2 0  2 0 | * 9 * * * | 1 1 0
x . . x3o ♦  6 | 3  0  6 | 0 3 0  0 2 | * * 3 * * | 0 2 0
. x3o x . ♦  6 | 0  6  3 | 0 0 2  3 0 | * * * 6 * | 1 0 1
. x . x3o ♦  6 | 0  3  6 | 0 0 0  3 2 | * * * * 6 | 0 1 1
----------+----+---------+------------+-----------+------
x x3o x . ♦ 12 | 6 12  6 | 6 3 4  6 0 | 2 3 0 2 0 | 3 * *
x x . x3o ♦ 12 | 6  6 12 | 3 6 0  6 4 | 0 3 2 0 2 | * 3 *
. x3o x3o ♦  9 | 0  9  9 | 0 0 3  9 3 | 0 0 0 3 3 | * * 2

or
. . . . .    | 18 | 1  4 |  4  2  4 | 2 4  4 | 4 1
-------------+----+------+----------+--------+----
x . . . .    |  2 | 9  * |  4  0  0 | 2 4  0 | 4 0
. x . . .  & |  2 | * 36 |  1  1  2 | 1 2  3 | 3 1
-------------+----+------+----------+--------+----
x x . . .  & |  4 | 2  2 | 18  *  * | 1 2  0 | 3 0
. x3o . .  & |  3 | 0  3 |  * 12  * | 1 0  2 | 2 1
. x . x .    |  4 | 0  4 |  *  * 18 | 0 1  2 | 2 1
-------------+----+------+----------+--------+----
x x3o . .  & ♦  6 | 3  6 |  3  2  0 | 6 *  * | 2 0
x x . x .    ♦  8 | 4  8 |  4  0  2 | * 9  * | 2 0
. x3o x .  & ♦  6 | 0  9 |  0  2  3 | * * 12 | 1 1
-------------+----+------+----------+--------+----
x x3o x .  & ♦ 12 | 6 18 |  9  4  6 | 2 3  2 | 6 *
. x3o x3o    ♦  9 | 0 18 |  0  6  9 | 0 0  6 | * 2
```

```xx3oo xx3oo&#x   → height = 1
(triddip || triddip)

o.3o. o.3o.    | 9 * | 2 2 1 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.o3.o .o3.o    | * 9 | 0 0 1 2 2 | 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
---------------+-----+-----------+-----------------+---------------+--------
x. .. .. ..    | 2 0 | 9 * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x. ..    | 2 0 | * 9 * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
oo3oo oo3oo&#x | 1 1 | * * 9 * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.x .. .. ..    | 0 2 | * * * 9 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x ..    | 0 2 | * * * * 9 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------+-----+-----------+-----------------+---------------+--------
x.3o. .. ..    | 3 0 | 3 0 0 0 0 | 3 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
x. .. x. ..    | 4 0 | 2 2 0 0 0 | * 9 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.3o.    | 3 0 | 0 3 0 0 0 | * * 3 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 9 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 9 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.x3.o .. ..    | 0 3 | 0 0 0 3 0 | * * * * * 3 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.x .. .x ..    | 0 4 | 0 0 0 2 2 | * * * * * * 9 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x3.o    | 0 3 | 0 0 0 0 3 | * * * * * * * 3 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------+-----+-----------+-----------------+---------------+--------
x.3o. x. ..    ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 | 3 * * * * * * | 1 1 0 0
x. .. x.3o.    ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 | * 3 * * * * * | 1 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * 3 * * * * | 0 2 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * 9 * * * | 0 1 1 0
.. .. xx3oo&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 3 0 0 1 | * * * * 3 * * | 0 0 2 0
.x3.o .x ..    ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * 3 * | 0 1 0 1
.x .. .x3.o    ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * 3 | 0 0 1 1
---------------+-----+-----------+-----------------+---------------+--------
x.3o. x.3o.    ♦ 9 0 | 9 9 0 0 0 | 3 9 3 0 0 0 0 0 | 3 3 0 0 0 0 0 | 1 * * *
xx3oo xx ..&#x ♦ 6 6 | 6 3 6 6 3 | 2 3 0 6 3 2 3 0 | 1 0 2 3 0 1 0 | * 3 * *
xx .. xx3oo&#x ♦ 6 6 | 3 6 6 3 6 | 0 3 2 3 6 0 3 2 | 0 1 0 3 2 0 1 | * * 3 *
.x3.o .x3.o    ♦ 0 9 | 0 0 0 9 9 | 0 0 0 0 0 3 9 3 | 0 0 0 0 0 3 3 | * * * 1

or
o.3o. o.3o.      | 9 * |  4 1  0 | 2 4  4 0 0 | 4 2 4 0 | 1 4 0
.o3.o .o3.o      | * 9 |  0 1  4 | 0 0  4 2 4 | 0 2 4 4 | 0 4 1
-----------------+-----+---------+------------+---------+------
x. .. .. ..    & | 2 0 | 18 *  * | 1 2  1 0 0 | 3 1 2 0 | 1 3 0
oo3oo oo3oo&#x   | 1 1 |  * 9  * | 0 0  4 0 0 | 0 2 4 0 | 0 4 0
.x .. .. ..    & | 0 2 |  * * 18 | 0 0  1 1 2 | 0 1 2 3 | 0 3 1
-----------------+-----+---------+------------+---------+------
x.3o. .. ..    & | 3 0 |  3 0  0 | 6 *  * * * | 2 1 0 0 | 1 2 0
x. .. x. ..      | 4 0 |  4 0  0 | * 9  * * * | 2 0 1 0 | 1 2 0
xx .. .. ..&#x & | 2 2 |  1 2  1 | * * 18 * * | 0 1 2 0 | 0 3 0
.x3.o .. ..    & | 0 3 |  0 0  3 | * *  * 6 * | 0 1 0 2 | 0 2 1
.x .. .x ..      | 0 4 |  0 0  4 | * *  * * 9 | 0 0 1 2 | 0 2 1
-----------------+-----+---------+------------+---------+------
x.3o. x. ..    & ♦ 6 0 |  9 0  0 | 2 3  0 0 0 | 6 * * * | 1 1 0
xx3oo .. ..&#x & ♦ 3 3 |  3 3  3 | 1 0  3 1 0 | * 6 * * | 0 2 0
xx .. xx ..&#x   ♦ 4 4 |  4 4  4 | 0 1  4 0 1 | * * 9 * | 0 2 0
.x3.o .x ..    & ♦ 0 6 |  0 0  9 | 0 0  0 2 3 | * * * 6 | 0 1 1
-----------------+-----+---------+------------+---------+------
x.3o. x.3o.      ♦ 9 0 | 18 0  0 | 6 9  0 0 0 | 6 0 0 0 | 1 * *
xx3oo xx ..&#x & ♦ 6 6 |  9 6  9 | 2 3  9 2 3 | 1 2 3 1 | * 6 *
.x3.o .x3.o      ♦ 0 9 |  0 0 18 | 0 0  0 6 9 | 0 0 0 6 | * * 1
```

```ox xx xx3oo&#x   → height = sqrt(3)/2 = 0.866025
(trip || tisdip)

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

 © 2004-2013 top of page