| Acronym | tratet altroct |
| Name |
triangle-tetrahedron duoprism atop gyrated triangle-octahedron duoprism, vertex-first medial segment of birectified heptapeton |
| Circumradius | sqrt(6/7) = 0.925820 |
|
Lace city in approx. ASCII-art |
+---- x3o x3o3o (tratet)
/ +-- o3x o3x3o (gyro troct)
/ /
T o
t O
where:
T = x x3o3o (tepe)
o = o o3x3o (oct)
t = o x3o3o (tet)
O = x o3x3o (ope)
|
| Face vector | 30, 156, 280, 228, 90, 16 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xo3ox xo3ox3oo&#x → height = sqrt(7/24) = 0.540062
(tratet || gyro troct)
o.3o. o.3o.3o. | 12 * | 2 3 6 0 0 | 1 6 3 6 3 6 6 0 0 0 0 | 3 6 1 3 6 6 3 3 6 2 0 0 0 0 | 3 1 3 3 6 2 3 1 2 0 0 0 | 1 3 1 2 1 0
.o3.o .o3.o3.o | * 18 | 0 0 4 2 4 | 0 0 0 2 4 2 8 1 8 2 2 | 0 0 0 2 1 4 2 8 4 4 4 4 4 1 | 0 0 1 4 2 2 4 4 2 2 2 2 | 0 2 2 1 2 1
------------------+-------+----------------+--------------------------------+----------------------------------------+------------------------------+------------
x. .. .. .. .. | 2 0 | 12 * * * * | 1 3 0 3 0 0 0 0 0 0 0 | 3 3 0 3 3 3 0 0 0 0 0 0 0 0 | 3 1 3 3 3 1 0 0 2 0 0 0 | 1 3 1 1 0 0
.. .. x. .. .. | 2 0 | * 18 * * * | 0 2 2 0 0 2 0 0 0 0 0 | 1 4 1 0 2 0 1 0 4 0 0 0 0 0 | 2 2 1 0 4 0 2 0 2 0 0 0 | 1 2 0 2 1 0
oo3oo oo3oo3oo&#x | 1 1 | * * 72 * * | 0 0 0 1 1 1 2 0 0 0 0 | 0 0 0 1 1 2 1 2 2 1 0 0 0 0 | 0 0 1 2 2 1 2 1 1 0 0 0 | 0 2 1 1 1 0
.. .x .. .. .. | 0 2 | * * * 18 * | 0 0 0 0 2 0 0 1 4 0 0 | 0 0 0 2 0 0 1 4 0 0 4 2 2 0 | 0 0 1 4 0 0 2 2 0 2 2 1 | 0 2 2 0 1 1
.. .. .. .x .. | 0 2 | * * * * 36 | 0 0 0 0 0 0 2 0 2 1 1 | 0 0 0 0 0 1 0 2 2 2 1 2 2 1 | 0 0 0 1 1 1 2 2 2 1 1 2 | 0 1 1 1 2 1
------------------+-------+----------------+--------------------------------+----------------------------------------+------------------------------+------------
x.3o. .. .. .. | 3 0 | 3 0 0 0 0 | 4 * * * * * * * * * * | 3 0 0 3 0 0 0 0 0 0 0 0 0 0 | 3 0 3 3 0 0 0 0 0 0 0 0 | 1 3 1 0 0 0
x. .. x. .. .. | 4 0 | 2 2 0 0 0 | * 18 * * * * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 0 0 0 | 2 1 1 0 2 0 0 0 0 0 0 0 | 1 2 0 1 0 0
.. .. x.3o. .. | 3 0 | 0 3 0 0 0 | * * 12 * * * * * * * * | 0 2 1 0 0 0 0 0 2 0 0 0 0 0 | 1 2 0 0 2 0 1 0 2 0 0 0 | 1 1 0 2 1 0
xo .. .. .. ..&#x | 2 1 | 1 0 2 0 0 | * * * 36 * * * * * * * | 0 0 0 1 1 2 0 0 0 0 0 0 0 0 | 0 0 1 2 2 1 0 0 0 0 0 0 | 0 2 1 1 0 0
.. ox .. .. ..&#x | 1 2 | 0 0 2 1 0 | * * * * 36 * * * * * * | 0 0 0 1 0 0 1 2 0 0 0 0 0 0 | 0 0 1 2 0 0 2 1 0 0 0 0 | 0 2 1 0 1 0
.. .. xo .. ..&#x | 2 1 | 0 1 2 0 0 | * * * * * 36 * * * * * | 0 0 0 0 1 0 1 0 2 0 0 0 0 0 | 0 0 1 0 2 0 2 0 1 0 0 0 | 0 2 0 1 1 0
.. .. .. ox ..&#x | 1 2 | 0 0 2 0 1 | * * * * * * 72 * * * * | 0 0 0 0 0 1 0 1 1 1 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 | 0 1 1 1 1 0
.o3.x .. .. .. | 0 3 | 0 0 0 3 0 | * * * * * * * 6 * * * | 0 0 0 2 0 0 0 0 0 0 4 0 0 0 | 0 0 1 4 0 0 0 0 0 2 2 0 | 0 2 2 0 0 1
.. .x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * * * 36 * * | 0 0 0 0 0 0 0 1 0 0 1 1 1 0 | 0 0 0 1 0 0 1 1 0 1 1 1 | 0 1 1 0 1 1
.. .. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * * * * 12 * | 0 0 0 0 0 0 0 0 2 0 0 2 0 1 | 0 0 0 0 1 0 2 0 2 1 0 2 | 0 1 0 1 2 1
.. .. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 2 0 0 2 1 | 0 0 0 0 0 1 0 2 2 0 1 2 | 0 0 1 1 2 1
------------------+-------+----------------+--------------------------------+----------------------------------------+------------------------------+------------
x.3o. x. .. .. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 | 6 * * * * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0
x. .. x.3o. .. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0
.. .. x.3o.3o. ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * | 0 2 0 0 0 0 0 0 2 0 0 0 | 1 0 0 2 1 0
xo3ox .. .. ..&#x ♦ 3 3 | 3 0 6 3 0 | 1 0 0 3 3 0 0 1 0 0 0 | * * * 12 * * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0
xo .. xo .. ..&#x ♦ 4 1 | 2 2 4 0 0 | 0 1 0 2 0 2 0 0 0 0 0 | * * * * 18 * * * * * * * * * | 0 0 1 0 2 0 0 0 0 0 0 0 | 0 2 0 1 0 0
xo .. .. ox ..&#x ♦ 2 2 | 1 0 4 0 1 | 0 0 0 2 0 0 2 0 0 0 0 | * * * * * 36 * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0
.. ox xo .. ..&#x ♦ 2 2 | 0 1 4 1 0 | 0 0 0 0 2 2 0 0 0 0 0 | * * * * * * 18 * * * * * * * | 0 0 1 0 0 0 2 0 0 0 0 0 | 0 2 0 0 1 0
.. ox .. ox ..&#x ♦ 1 4 | 0 0 4 2 2 | 0 0 0 0 2 0 2 0 1 0 0 | * * * * * * * 36 * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 | 0 1 1 0 1 0
.. .. xo3ox ..&#x ♦ 3 3 | 0 3 6 0 3 | 0 0 1 0 0 3 3 0 0 1 0 | * * * * * * * * 24 * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 | 0 1 0 1 1 0
.. .. .. ox3oo&#x ♦ 1 3 | 0 0 3 0 3 | 0 0 0 0 0 0 3 0 0 0 1 | * * * * * * * * * 24 * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 1 1 1 0
.o3.x .. .x .. ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 0 0 2 3 0 0 | * * * * * * * * * * 12 * * * | 0 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1
.. .x .o3.x .. ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 0 0 3 2 0 | * * * * * * * * * * * 12 * * | 0 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 0 1 1
.. .x .. .x3.o ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * * * 12 * | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 0 1 1
.. .. .o3.x3.o ♦ 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 2 0 0 2 | 0 0 0 1 2 1
------------------+-------+----------------+--------------------------------+----------------------------------------+------------------------------+------------
x.3o. x.3o. .. ♦ 9 0 | 9 9 0 0 0 | 3 9 3 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * | 1 1 0 0 0 0
x. .. x.3o.3o. ♦ 8 0 | 4 12 0 0 0 | 0 6 8 0 0 0 0 0 0 0 0 | 0 4 2 0 0 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * | 1 0 0 1 0 0
xo3ox xo .. ..&#x ♦ 6 3 | 6 3 12 3 0 | 2 3 0 6 6 6 0 1 0 0 0 | 1 0 0 2 3 0 3 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * | 0 2 0 0 0 0
xo3ox .. ox ..&#x ♦ 3 6 | 3 0 12 6 3 | 1 0 0 6 6 0 6 2 3 0 0 | 0 0 0 2 0 3 0 3 0 0 1 0 0 0 | * * * 12 * * * * * * * * | 0 1 1 0 0 0
xo .. xo3ox ..&#x ♦ 6 3 | 3 6 12 0 3 | 0 3 2 6 0 6 6 0 0 1 0 | 0 1 0 0 3 3 0 0 2 0 0 0 0 0 | * * * * 12 * * * * * * * | 0 1 0 1 0 0
xo .. .. ox3oo&#x ♦ 2 3 | 1 0 6 0 3 | 0 0 0 3 0 0 6 0 0 0 1 | 0 0 0 0 0 3 0 0 0 2 0 0 0 0 | * * * * * 12 * * * * * * | 0 0 1 1 0 0
.. ox xo3ox ..&#x ♦ 3 6 | 0 3 12 3 6 | 0 0 1 0 6 6 6 0 3 2 0 | 0 0 0 0 0 0 3 3 2 0 0 1 0 0 | * * * * * * 12 * * * * * | 0 1 0 0 1 0
.. ox .. ox3oo&#x ♦ 1 6 | 0 0 6 3 6 | 0 0 0 0 3 0 6 0 3 0 2 | 0 0 0 0 0 0 0 3 0 2 0 0 1 0 | * * * * * * * 12 * * * * | 0 0 1 0 1 0
.. .. xo3ox3oo&#x ♦ 4 6 | 0 6 12 0 12 | 0 0 4 0 0 6 12 0 0 4 4 | 0 0 1 0 0 0 0 0 4 4 0 0 0 1 | * * * * * * * * 6 * * * | 0 0 0 1 1 0
.o3.x .o3.x .. ♦ 0 9 | 0 0 0 9 9 | 0 0 0 0 0 0 0 3 9 3 0 | 0 0 0 0 0 0 0 0 0 0 3 3 0 0 | * * * * * * * * * 4 * * | 0 1 0 0 0 1
.o3.x .. .x3.o ♦ 0 9 | 0 0 0 9 9 | 0 0 0 0 0 0 0 3 9 0 3 | 0 0 0 0 0 0 0 0 0 0 3 0 3 0 | * * * * * * * * * * 4 * | 0 0 1 0 0 1
.. .x .o3.x3.o ♦ 0 12 | 0 0 0 6 24 | 0 0 0 0 0 0 0 0 12 8 8 | 0 0 0 0 0 0 0 0 0 0 0 4 4 2 | * * * * * * * * * * * 3 | 0 0 0 0 1 1
------------------+-------+----------------+--------------------------------+----------------------------------------+------------------------------+------------
x.3o. x.3o.3o. ♦ 12 0 | 12 18 0 0 0 | 4 18 12 0 0 0 0 0 0 0 0 | 6 12 3 0 0 0 0 0 0 0 0 0 0 0 | 4 3 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xo3ox xo3ox ..&#x ♦ 9 9 | 9 9 36 9 9 | 3 9 3 18 18 18 18 3 9 3 0 | 3 3 0 6 9 9 9 9 6 0 3 3 0 0 | 1 0 3 3 3 0 3 0 0 1 0 0 | * 4 * * * *
xo3ox .. ox3oo&#x ♦ 3 9 | 3 0 18 9 9 | 1 0 0 9 9 0 18 3 9 0 3 | 0 0 0 3 0 9 0 9 0 6 3 0 3 0 | 0 0 0 3 0 3 0 3 0 0 1 0 | * * 4 * * *
xo .. xo3ox3oo&#x ♦ 8 6 | 4 12 24 0 12 | 0 6 8 12 0 12 24 0 0 4 4 | 0 4 2 0 6 12 0 0 8 8 0 0 0 1 | 0 1 0 0 4 4 0 0 2 0 0 0 | * * * 3 * *
.. ox xo3ox3oo&#x ♦ 4 12 | 0 6 24 6 24 | 0 0 4 0 12 12 24 0 12 8 8 | 0 0 1 0 0 0 6 12 8 8 0 4 4 2 | 0 0 0 0 0 0 4 4 2 0 0 1 | * * * * 3 *
.o3.x .o3.x3.o ♦ 0 18 | 0 0 0 18 36 | 0 0 0 0 0 0 0 6 36 12 12 | 0 0 0 0 0 0 0 0 0 0 12 12 12 3 | 0 0 0 0 0 0 0 0 0 4 4 3 | * * * * * 1
© 2004-2024 | top of page |