Acronym | ... |
Name |
x q3o, variation of triangular prism, vertex figure of rectified icositetrachoron |
Circumradius | sqrt(11/12) = 0.957427 |
Lace city in approx. ASCII-art |
o o q q |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 6, 9, 5 |
Confer |
using edge sizes x = 1 and q = sqrt(2) = 1.414214
Incidence matrix according to Dynkin symbol
x q3o . . . | 6 | 1 2 | 2 1 ------+---+-----+---- x . . | 2 | 3 * | 2 0 . q . | 2 | * 6 | 1 1 ------+---+-----+---- x q . | 4 | 2 2 | 3 * . q3o | 3 | 0 3 | * 2
qq3oo&#x → height = 1
(q-{3} || q-{3})
o.3o. | 3 * | 2 1 0 | 1 2 0
.o3.o | * 3 | 0 1 2 | 0 2 1
---------+-----+-------+------
q. .. | 2 0 | 3 * * | 1 1 0
oo3oo&#x | 1 1 | * 3 * | 0 2 0
.q .. | 0 2 | * * 3 | 0 1 1
---------+-----+-------+------
q.3o. | 3 0 | 3 0 0 | 1 * *
qq ..&#x | 2 2 | 1 2 1 | * 3 *
.q3.o | 0 3 | 0 0 3 | * * 1
xx oq&#q → height = sqrt(3/2) = 1.224745
(line || (x,q)-{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&#q | 1 1 | * 4 * * | 1 1 0
.x .. | 0 2 | * * 2 * | 1 0 1
.. .q | 0 2 | * * * 2 | 0 1 1
---------+-----+---------+------
xx ..&#q | 2 2 | 1 2 1 0 | 2 * *
.. oq&#q | 1 2 | 0 2 0 1 | * 2 *
.x .q | 0 4 | 0 0 2 2 | * * 1
xxx&#q → all heights = sqrt(2) = 1.414214 (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.&#q | 1 1 0 | * 2 * * * * | 1 0 1 0 o.o&#q | 1 0 1 | * * 2 * * * | 0 1 1 0 .x. | 0 2 0 | * * * 1 * * | 1 0 0 1 .oo&#q | 0 1 1 | * * * * 2 * | 0 0 1 1 ..x | 0 0 2 | * * * * * 1 | 0 1 0 1 -------+-------+-------------+-------- xx.&#q | 2 2 0 | 1 2 0 1 0 0 | 1 * * * x.x&#q | 2 0 2 | 1 0 2 0 0 1 | * 1 * * ooo&#q | 1 1 1 | 0 1 1 0 1 0 | * * 2 * .xx&#q | 0 2 2 | 0 0 0 1 2 1 | * * * 1
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