Acronym triddip, K-4.10 Name triangle-triangle duoprism,triangle - trip wedge ` ©` Circumradius sqrt(2/3) = 0.816497 General of army (is itself convex) Colonel of regiment (is itself locally convex) Confer general duoprisms: 3,n-dip   n,n-dip   n,m-dip   general polytopal classes: noble polytopes Externallinks

Incidence matrix according to Dynkin symbol

```x3o x3o

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

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

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

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

```xxoo xoox&#xr   → all heights = sqrt(3)/2 = 0.866025
({4} || (line || perp line) || pt)

o(..). o(..).    | 4 * * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1
.(o.). .(o.).    | * 2 * * | 0 0 2 0 1 1 0 0 | 0 2 1 0 0 2 1 0 | 1 0 2 1
.(.o). .(.o).    | * * 2 * | 0 0 0 2 0 0 1 1 | 0 0 0 1 2 2 0 1 | 0 1 1 2
.(..)o .(..)o    | * * * 1 | 0 0 0 0 0 2 0 2 | 0 0 0 0 0 4 1 1 | 0 0 2 2
-----------------+---------+-----------------+-----------------+--------
x(..). .(..).    | 2 0 0 0 | 2 * * * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0
.(..). x(..).    | 2 0 0 0 | * 2 * * * * * * | 1 0 1 0 1 0 0 0 | 1 1 0 1
o(o.). o(o.).&#x | 1 1 0 0 | * * 4 * * * * * | 0 1 1 0 0 1 0 0 | 1 0 1 1
o(.o). o(.o).&#x | 1 0 1 0 | * * * 4 * * * * | 0 0 0 1 1 1 0 0 | 0 1 1 1
.(x.). .(..).    | 0 2 0 0 | * * * * 1 * * * | 0 2 0 0 0 0 1 0 | 1 0 2 0
.(o.)o .(o.)o&#x | 0 1 0 1 | * * * * * 2 * * | 0 0 0 0 0 2 1 0 | 0 0 2 1
.(..). .(.x).    | 0 0 2 0 | * * * * * * 1 * | 0 0 0 0 2 0 0 1 | 0 1 0 2
.(.o)o .(.o)o&#x | 0 0 1 1 | * * * * * * * 2 | 0 0 0 0 0 2 0 1 | 0 0 1 2
-----------------+---------+-----------------+-----------------+--------
x(..). x(..).    | 4 0 0 0 | 2 2 0 0 0 0 0 0 | 1 * * * * * * * | 1 1 0 0
x(x.). .(..).&#x | 2 2 0 0 | 1 0 2 0 1 0 0 0 | * 2 * * * * * * | 1 0 1 0
.(..). x(o.).&#x | 2 1 0 0 | 0 1 2 0 0 0 0 0 | * * 2 * * * * * | 1 0 0 1
x(.o). .(..).&#x | 2 0 1 0 | 1 0 0 2 0 0 0 0 | * * * 2 * * * * | 0 1 1 0
.(..). x(.x).&#x | 2 0 2 0 | 0 1 0 2 0 0 1 0 | * * * * 2 * * * | 0 1 0 1
oooo   oooo&#xr  | 1 1 1 1 | 0 0 1 1 0 1 0 1 | * * * * * 4 * * | 0 0 1 1
.(x.)o .(..).&#x | 0 2 0 1 | 0 0 0 0 1 2 0 0 | * * * * * * 1 * | 0 0 2 0
.(..). .(.x)o&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 | * * * * * * * 1 | 0 0 0 2
-----------------+---------+-----------------+-----------------+--------
x(x.). x(o.).&#x ♦ 4 2 0 0 | 2 2 4 0 1 0 0 0 | 1 2 2 0 0 0 0 0 | 1 * * *
x(.o). x(.x).&#x ♦ 4 0 2 0 | 2 2 0 4 0 0 1 0 | 1 0 0 2 2 0 0 0 | * 1 * *
xxoo   ....&#xr  ♦ 2 2 1 1 | 1 0 2 2 1 2 0 1 | 0 1 0 1 0 2 1 0 | * * 2 *
....   xoox&#xr  ♦ 2 1 2 1 | 0 1 2 2 0 1 1 2 | 0 0 1 0 1 2 0 1 | * * * 2

or
o(..). o(..).      | 4 * * | 2 2 0 0 | 1 2 2 1 0 | 2 2
.(o.). .(o.).    & | * 4 * | 0 2 1 1 | 0 2 1 2 1 | 1 3
.(..)o .(..)o      | * * 1 | 0 0 0 4 | 0 0 0 4 2 | 0 4
-------------------+-------+---------+-----------+----
x(..). .(..).    & | 2 0 0 | 4 * * * | 1 1 1 0 0 | 2 1
o(o.). o(o.).&#x & | 1 1 0 | * 8 * * | 0 1 1 1 0 | 1 2
.(x.). .(..).    & | 0 2 0 | * * 2 * | 0 2 0 0 1 | 1 2
.(o.)o .(o.)o&#x & | 0 1 1 | * * * 4 | 0 0 0 2 1 | 0 3
-------------------+-------+---------+-----------+----
x(..). x(..).      | 4 0 0 | 4 0 0 0 | 1 * * * * | 2 0
x(x.). .(..).&#x & | 2 2 0 | 1 2 1 0 | * 4 * * * | 1 1
.(..). x(o.).&#x & | 2 1 0 | 1 2 0 0 | * * 4 * * | 1 1
oooo   oooo&#xr    | 1 2 1 | 0 2 0 2 | * * * 4 * | 0 2
.(x.)o .(..).&#x & | 0 2 1 | 0 0 1 2 | * * * * 2 | 0 2
-------------------+-------+---------+-----------+----
x(x.). x(o.).&#x & ♦ 4 2 0 | 4 4 1 0 | 1 2 2 0 0 | 2 *
xxoo   ....&#xr  & ♦ 2 3 1 | 1 4 1 3 | 0 1 1 2 1 | * 4
```