Acronym | tricupe, K-4.45 |
Name |
triangular-cupola prism, triangular prism atop hexagonal prism |
Segmentochoron display | |
Circumradius | sqrt(5)/2 = 1.118034 |
Lace city in approx. ASCII-art |
x3o x3x -- tricu x3o x3x -- tricu | +- hip +------ trip |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 18, 39, 31, 10 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
xx3ox xx&#x → height = sqrt(2/3) = 0.816497
(trip || hip)
o.3o. o. | 6 * ♦ 2 1 2 0 0 0 | 1 2 2 1 2 0 0 0 | 1 1 2 1 0
.o3.o .o | * 12 | 0 0 1 1 1 1 | 0 0 1 1 1 1 1 1 | 0 1 1 1 1
------------+------+--------------+-----------------+----------
x. .. .. | 2 0 | 6 * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0
.. .. x. | 2 0 | * 3 * * * * | 0 2 0 0 2 0 0 0 | 1 0 2 1 0
oo3oo oo&#x | 1 1 | * * 12 * * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 6 * * | 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x .. | 0 2 | * * * * 6 * | 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x | 0 2 | * * * * * 6 | 0 0 0 0 1 0 1 1 | 0 0 1 1 1
------------+------+--------------+-----------------+----------
x.3o. .. | 3 0 | 3 0 0 0 0 0 | 2 * * * * * * * | 1 1 0 0 0
x. .. x. | 4 0 | 2 2 0 0 0 0 | * 3 * * * * * * | 1 0 1 0 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * 6 * * * * * | 0 1 1 0 0
.. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * 6 * * * * | 0 1 0 1 0
.. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * 6 * * * | 0 0 1 1 0
.x3.x .. | 0 6 | 0 0 0 3 3 0 | * * * * * 2 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * 3 * | 0 0 1 0 1
.. .x .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * 3 | 0 0 0 1 1
------------+------+--------------+-----------------+----------
x.3o. x. ♦ 6 0 | 6 3 0 0 0 0 | 2 3 0 0 0 0 0 0 | 1 * * * *
xx3ox ..&#x ♦ 3 6 | 3 0 6 3 3 0 | 1 0 3 3 0 1 0 0 | * 2 * * *
xx .. xx&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 2 0 2 0 1 0 | * * 3 * *
.. ox xx&#x ♦ 2 4 | 0 1 4 0 2 2 | 0 0 0 2 2 0 0 1 | * * * 3 *
.x3.x .x ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 0 2 3 3 | * * * * 1
xx3ox&#x || xx3ox&#x → height = 1 (tricu || tricu) o.3o. || .. .. | 3 * * * ♦ 2 2 1 0 0 0 0 0 0 0 | 1 2 1 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0 .o3.o || .. .. | * 6 * * | 0 1 0 1 1 1 0 0 0 0 | 0 1 1 0 1 1 1 1 0 0 0 0 | 1 0 1 1 1 0 .. .. || o.3o. | * * 3 * ♦ 0 0 1 0 0 0 2 2 0 0 | 0 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1 .. .. || .o3.o | * * * 6 | 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1 ---------------------+---------+---------------------+-------------------------+------------ x. .. || .. .. | 2 0 0 0 | 3 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 oo3oo&#x || .. .. | 1 1 0 0 | * 6 * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 o.3o. || o.3o. | 1 0 1 0 | * * 3 * * * * * * * | 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0 .x .. || .. .. | 0 2 0 0 | * * * 3 * * * * * * | 0 1 0 0 0 1 1 0 0 0 0 0 | 1 0 1 0 1 0 .. .x || .. .. | 0 2 0 0 | * * * * 3 * * * * * | 0 0 1 0 0 1 0 1 0 0 0 0 | 1 0 0 1 1 0 .o3.o || .o3.o | 0 1 0 1 | * * * * * 6 * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0 .. .. || x. .. | 0 0 2 0 | * * * * * * 3 * * * | 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 .. .. || oo3oo&#x | 0 0 1 1 | * * * * * * * 6 * * | 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1 .. .. || .x .. | 0 0 0 2 | * * * * * * * * 3 * | 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1 .. .. || .. .x | 0 0 0 2 | * * * * * * * * * 3 | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1 ---------------------+---------+---------------------+-------------------------+------------ x.3o. || .. .. | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * | 1 1 0 0 0 0 xx ..&#x || .. .. | 2 2 0 0 | 1 2 0 1 0 0 0 0 0 0 | * 3 * * * * * * * * * * | 1 0 1 0 0 0 .. ox&#x || .. .. | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 0 | * * 3 * * * * * * * * * | 1 0 0 1 0 0 x. .. || x. .. | 2 0 2 0 | 1 0 2 0 0 0 1 0 0 0 | * * * 3 * * * * * * * * | 0 1 1 0 0 0 oo3oo&#x || oo3oo&#x | 1 1 1 1 | 0 1 1 0 0 1 0 1 0 0 | * * * * 6 * * * * * * * | 0 0 1 1 0 0 .x3.x || .. .. | 0 6 0 0 | 0 0 0 3 3 0 0 0 0 0 | * * * * * 1 * * * * * * | 1 0 0 0 1 0 .x .. || .x .. | 0 2 0 2 | 0 0 0 1 0 2 0 0 1 0 | * * * * * * 3 * * * * * | 0 0 1 0 1 0 .. .x || .. .x | 0 2 0 2 | 0 0 0 0 1 2 0 0 0 1 | * * * * * * * 3 * * * * | 0 0 0 1 1 0 .. .. || x.3o. | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * 1 * * * | 0 1 0 0 0 1 .. .. || xx ..&#x | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 0 | * * * * * * * * * 3 * * | 0 0 1 0 0 1 .. .. || .. ox&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * 3 * | 0 0 0 1 0 1 .. .. || .x3.x | 0 0 0 6 | 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * 1 | 0 0 0 0 1 1 ---------------------+---------+---------------------+-------------------------+------------ xx3ox&#x || .. .. ♦ 3 6 0 0 | 3 6 0 3 3 0 0 0 0 0 | 1 3 3 0 0 1 0 0 0 0 0 0 | 1 * * * * * x.3o. || x.3o. ♦ 3 0 3 0 | 3 0 3 0 0 0 3 0 0 0 | 1 0 0 3 0 0 0 0 1 0 0 0 | * 1 * * * * xx ..&#x || xx ..&#x ♦ 2 2 2 2 | 1 2 2 1 0 2 1 2 1 0 | 0 1 0 1 2 0 1 0 0 1 0 0 | * * 3 * * * .. ox&#x || .. ox&#x ♦ 1 2 1 2 | 0 2 1 0 1 2 0 2 0 1 | 0 0 1 0 2 0 0 1 0 0 1 0 | * * * 3 * * .x3.x || .x3.x ♦ 0 6 0 6 | 0 0 0 3 3 6 0 0 3 3 | 0 0 0 0 0 1 3 3 0 0 0 1 | * * * * 1 * .. .. || xx3ox&#x ♦ 0 0 3 6 | 0 0 0 0 0 0 3 6 3 3 | 0 0 0 0 0 0 0 0 1 3 3 1 | * * * * * 1
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