Acronym | ... |
Name |
x f3o, variation of triangular prism |
Circumradius | sqrt[(9+2 sqrt(5))/12] = 1.059565 |
Lace city in approx. ASCII-art |
o o f f |
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 f3o . . . | 6 | 1 2 | 2 1 ------+---+-----+---- x . . | 2 | 3 * | 2 0 . f . | 2 | * 6 | 1 1 ------+---+-----+---- x f . | 4 | 2 2 | 3 * . f3o | 3 | 0 3 | * 2
ff3oo&#x → height = 1
(f-{3} || f-{3})
o.3o. | 3 * | 2 1 0 | 1 2 0
.o3.o | * 3 | 0 1 2 | 0 2 1
---------+-----+-------+------
f. .. | 2 0 | 3 * * | 1 1 0
oo3oo&#x | 1 1 | * 3 * | 0 2 0
.f .. | 0 2 | * * 3 | 0 1 1
---------+-----+-------+------
f.3o. | 3 0 | 3 0 0 | 1 * *
ff ..&#x | 2 2 | 1 2 1 | * 3 *
.f3.o | 0 3 | 0 0 3 | * * 1
xx of&#f → height = sqrt[(9+3 sqrt(5))/8] = 1.401259
(line || (x,f)-{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&#f | 1 1 | * 4 * * | 1 1 0
.x .. | 0 2 | * * 2 * | 1 0 1
.. .f | 0 2 | * * * 2 | 0 1 1
---------+-----+---------+------
xx ..&#f | 2 2 | 1 2 1 0 | 2 * *
.. of&#f | 1 2 | 0 2 0 1 | * 2 *
.x .f | 0 4 | 0 0 2 2 | * * 1
xxx&#f → all heights = (1+sqrt(5))/2 = 1.618034 (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.&#f | 1 1 0 | * 2 * * * * | 1 0 1 0 o.o&#f | 1 0 1 | * * 2 * * * | 0 1 1 0 .x. | 0 2 0 | * * * 1 * * | 1 0 0 1 .oo&#f | 0 1 1 | * * * * 2 * | 0 0 1 1 ..x | 0 0 2 | * * * * * 1 | 0 1 0 1 -------+-------+-------------+-------- xx.&#f | 2 2 0 | 1 2 0 1 0 0 | 1 * * * x.x&#f | 2 0 2 | 1 0 2 0 0 1 | * 1 * * ooo&#f | 1 1 1 | 0 1 1 0 1 0 | * * 2 * .xx&#f | 0 2 2 | 0 0 0 1 2 1 | * * * 1
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