Acronym | ... |
Name |
x u3o, variation of triangular prism |
Circumradius | sqrt(19/12) = 1.258306 |
Lace city in approx. ASCII-art |
o o u u |
Volume | sqrt(3) = 1.732051 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 6, 9, 5 |
Confer |
Incidence matrix according to Dynkin symbol
x u3o . . . | 6 | 1 2 | 2 1 ------+---+-----+---- x . . | 2 | 3 * | 2 0 . u . | 2 | * 6 | 1 1 ------+---+-----+---- x u . | 4 | 2 2 | 3 * . u3o | 3 | 0 3 | * 2
uu3oo&#x → height = 1
(u-{3} || u-{3})
o.3o. | 3 * | 2 1 0 | 1 2 0
.o3.o | * 3 | 0 1 2 | 0 2 1
---------+-----+-------+------
u. .. | 2 0 | 3 * * | 1 1 0
oo3oo&#x | 1 1 | * 3 * | 0 2 0
.u .. | 0 2 | * * 3 | 0 1 1
---------+-----+-------+------
u.3o. | 3 0 | 3 0 0 | 1 * *
uu ..&#x | 2 2 | 1 2 1 | * 3 *
.u3.o | 0 3 | 0 0 3 | * * 1
xx ou&#u → height = sqrt(3) = 1.732051
(line || (x,u)-{4})
o. o. | 2 * | 1 2 0 0 | 2 1 0
.o .o | * 4 | 0 1 1 1 | 1 1 1
---------+-----+---------+------
x. .. | 2 0 | 1 * * * | 2 0 0
oo oo&#u | 1 1 | * 4 * * | 1 1 0
.x .. | 0 2 | * * 2 * | 1 0 1
.. .u | 0 2 | * * * 2 | 0 1 1
---------+-----+---------+------
xx ..&#u | 2 2 | 1 2 1 0 | 2 * *
.. ou&#u | 1 2 | 0 2 0 1 | * 2 *
.x .u | 0 4 | 0 0 2 2 | * * 1
xxx&#u → all heights = 2 (line || (line || line)) o.. | 2 * * | 1 1 1 0 0 0 | 1 1 1 0 .o. | * 2 * | 0 1 0 1 1 0 | 1 0 1 1 ..o | * * 2 | 0 0 1 0 1 1 | 0 1 1 1 -------+-------+-------------+-------- x.. | 2 0 0 | 1 * * * * * | 1 1 0 0 oo.&#u | 1 1 0 | * 2 * * * * | 1 0 1 0 o.o&#u | 1 0 1 | * * 2 * * * | 0 1 1 0 .x. | 0 2 0 | * * * 1 * * | 1 0 0 1 .oo&#u | 0 1 1 | * * * * 2 * | 0 0 1 1 ..x | 0 0 2 | * * * * * 1 | 0 1 0 1 -------+-------+-------------+-------- xx.&#u | 2 2 0 | 1 2 0 1 0 0 | 1 * * * x.x&#u | 2 0 2 | 1 0 2 0 0 1 | * 1 * * ooo&#u | 1 1 1 | 0 1 1 0 1 0 | * * 2 * .xx&#u | 0 2 2 | 0 0 0 1 2 1 | * * * 1
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