| 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 |
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External links |
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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
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