Acronym | ... |
Name |
q x3o, variation of triangular prism, vertex figure of rectified tesseract |
Circumradius | sqrt(5/6) = 0.912871 |
Lace city in approx. ASCII-art |
o o x x |
Volume | sqrt(6)/4 = 0.612372 |
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
q x3o . . . | 6 | 1 2 | 2 1 ------+---+-----+---- q . . | 2 | 3 * | 2 0 . x . | 2 | * 6 | 1 1 ------+---+-----+---- q x . | 4 | 2 2 | 3 * . x3o | 3 | 0 3 | * 2
xx3oo&#q → height = sqrt(2) = 1.414214
({3} || {3})
o.3o. | 3 * | 2 1 0 | 1 2 0
.o3.o | * 3 | 0 1 2 | 0 2 1
---------+-----+-------+------
x. .. | 2 0 | 3 * * | 1 1 0
oo3oo&#q | 1 1 | * 3 * | 0 2 0
.x .. | 0 2 | * * 3 | 0 1 1
---------+-----+-------+------
x.3o. | 3 0 | 3 0 0 | 1 * *
xx ..&#q | 2 2 | 1 2 1 | * 3 *
.x3.o | 0 3 | 0 0 3 | * * 1
qq ox&#x → height = sqrt(3)/2 = 0.866025
(q-line || (q,x)-{4})
o. o. | 2 * | 1 2 0 0 | 2 1 0
.o .o | * 4 | 0 1 1 1 | 1 1 1
---------+-----+---------+------
q. .. | 2 0 | 1 * * * | 2 0 0
oo oo&#x | 1 1 | * 4 * * | 1 1 0
.q .. | 0 2 | * * 2 * | 1 0 1
.. .x | 0 2 | * * * 2 | 0 1 1
---------+-----+---------+------
qq ..&#x | 2 2 | 1 2 1 0 | 2 * *
.. ox&#x | 1 2 | 0 2 0 1 | * 2 *
.q .x | 0 4 | 0 0 2 2 | * * 1
qqq&#x → all heights = 1 (q-line || (q-line || q-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 -------+-------+-------------+-------- q.. | 2 0 0 | 1 * * * * * | 1 1 0 0 oo.&#x | 1 1 0 | * 2 * * * * | 1 0 1 0 o.o&#x | 1 0 1 | * * 2 * * * | 0 1 1 0 .q. | 0 2 0 | * * * 1 * * | 1 0 0 1 .oo&#x | 0 1 1 | * * * * 2 * | 0 0 1 1 ..q | 0 0 2 | * * * * * 1 | 0 1 0 1 -------+-------+-------------+-------- qq.&#x | 2 2 0 | 1 2 0 1 0 0 | 1 * * * q.q&#x | 2 0 2 | 1 0 2 0 0 1 | * 1 * * ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * 2 * .qq&#x | 0 2 2 | 0 0 0 1 2 1 | * * * 1
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