| 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
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