| Acronym | icarit, ico || rit |
| Name |
icositetrachoron atop rectified tesseract, ico-first half of nit |
| Circumradius | sqrt(3/2) = 1.224745 |
|
Lace city in approx. ASCII-art |
x3o4o o3x4o x3o4o
o3x4o o3o4u o3x4o
|
o3x3o x3o3x o3x3o
x3o3o x3x3o o3x3x o3o3x
| |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign, but last coord non-negative |
| Face vector | 56, 288, 376, 168, 26 |
| Confer |
|
Incidence matrix according to Dynkin symbol
oo3xo3ox4oo&#x → height = 1/sqrt(2) = 0.707107
(ico || rit)
o.3o.3o.4o. | 24 * ♦ 8 4 0 | 4 8 8 4 0 0 | 4 2 4 8 1 0 0 | 1 4 2 0
.o3.o3.o4.o | * 32 | 0 3 6 | 0 0 3 6 6 3 | 0 0 1 6 3 2 3 | 0 2 3 1
---------------+-------+----------+-------------------+--------------------+---------
.. x. .. .. | 2 0 | 96 * * | 1 2 1 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
oo3oo3oo4oo&#x | 1 1 | * 96 * | 0 0 2 2 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .. .x .. | 0 2 | * * 96 | 0 0 0 1 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------+-------+----------+-------------------+--------------------+---------
o.3x. .. .. | 3 0 | 3 0 0 | 32 * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. x.3o. .. | 3 0 | 3 0 0 | * 64 * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. xo .. ..&#x | 2 1 | 1 2 0 | * * 96 * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. ox ..&#x | 1 2 | 0 2 1 | * * * 96 * * | 0 0 0 2 1 0 0 | 0 1 2 0
.. .o3.x .. | 0 3 | 0 0 3 | * * * * 64 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x4.o | 0 4 | 0 0 4 | * * * * * 24 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------+-------+----------+-------------------+--------------------+---------
o.3x.3o. .. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 16 * * * * * * | 1 1 0 0
.. x.3o.4o. ♦ 6 0 | 12 0 0 | 0 8 0 0 0 0 | * 8 * * * * * | 1 0 1 0
oo3xo .. ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * 32 * * * * | 0 2 0 0
.. xo3ox ..&#x ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * 64 * * * | 0 1 1 0
.. .. ox4oo&#x ♦ 1 4 | 0 4 4 | 0 0 0 4 0 1 | * * * * 24 * * | 0 0 2 0
.o3.o3.x .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * 16 * | 0 1 0 1
.. .o3.x4.o ♦ 0 12 | 0 0 24 | 0 0 0 0 8 6 | * * * * * * 8 | 0 0 1 1
---------------+-------+----------+-------------------+--------------------+---------
o.3x.3o.4o. ♦ 24 0 | 96 0 0 | 32 64 0 0 0 0 | 16 8 0 0 0 0 0 | 1 * * *
oo3xo3ox ..&#x ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 1 0 4 4 0 1 0 | * 16 * *
.. xo3ox4oo&#x ♦ 6 12 | 12 24 24 | 0 8 12 24 8 6 | 0 1 0 8 6 0 1 | * * 8 *
.o3.o3.x4.o ♦ 0 32 | 0 0 96 | 0 0 0 0 64 24 | 0 0 0 0 0 16 8 | * * * 1
ox3xo3ox *b3oo&#x → height = 1/sqrt(2) = 0.707107
(ico || rit)
o.3o.3o. *b3o. | 24 * ♦ 8 4 0 0 | 4 4 4 2 8 2 0 0 0 | 2 2 2 4 1 4 4 0 0 0 | 1 2 2 2 0
.o3.o3.o *b3.o | * 32 | 0 3 3 3 | 0 0 0 3 3 3 3 3 3 | 0 0 0 3 3 3 1 3 1 1 | 0 3 1 1 1
------------------+-------+-------------+----------------------------+-------------------------+----------
.. x. .. .. | 2 0 | 96 * * * | 1 1 1 0 1 0 0 0 0 | 1 1 1 1 0 1 1 0 0 0 | 1 1 1 1 0
oo3oo3oo *b3oo&#x | 1 1 | * 96 * * | 0 0 0 1 2 1 0 0 0 | 0 0 0 2 1 2 1 0 0 0 | 0 2 1 1 0
.x .. .. .. | 0 2 | * * 48 * | 0 0 0 1 0 0 2 1 0 | 0 0 0 2 1 0 0 2 1 0 | 0 2 1 0 1
.. .. .x .. | 0 2 | * * * 48 | 0 0 0 0 0 1 0 1 2 | 0 0 0 0 1 2 0 2 0 1 | 0 2 0 1 1
------------------+-------+-------------+----------------------------+-------------------------+----------
o.3x. .. .. | 3 0 | 3 0 0 0 | 32 * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
.. x.3o. .. | 3 0 | 3 0 0 0 | * 32 * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. x. .. *b3o. | 3 0 | 3 0 0 0 | * * 32 * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * * 48 * * * * * | 0 0 0 2 1 0 0 0 0 0 | 0 2 1 0 0
.. xo .. ..&#x | 2 1 | 1 2 0 0 | * * * * 96 * * * * | 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0
.. .. ox ..&#x | 1 2 | 0 2 0 1 | * * * * * 48 * * * | 0 0 0 0 1 2 0 0 0 0 | 0 2 0 1 0
.x3.o .. .. | 0 3 | 0 0 3 0 | * * * * * * 32 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * * * * 24 * | 0 0 0 0 1 0 0 2 0 0 | 0 2 0 0 1
.. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * * * * 32 | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
------------------+-------+-------------+----------------------------+-------------------------+----------
o.3x.3o. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0
o.3x. .. *b3o. ♦ 6 0 | 12 0 0 0 | 4 0 4 0 0 0 0 0 0 | * 8 * * * * * * * * | 1 0 1 0 0
.. x.3o. *b3o. ♦ 6 0 | 12 0 0 0 | 0 4 4 0 0 0 0 0 0 | * * 8 * * * * * * * | 1 0 0 1 0
ox3xo .. ..&#x ♦ 3 3 | 3 6 3 0 | 1 0 0 3 3 0 1 0 0 | * * * 32 * * * * * * | 0 1 1 0 0
ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 0 0 2 0 2 0 1 0 | * * * * 24 * * * * * | 0 2 0 0 0
.. xo3ox ..&#x ♦ 3 3 | 3 6 0 3 | 0 1 0 0 3 3 0 0 1 | * * * * * 32 * * * * | 0 1 0 1 0
.. xo .. *b3oo&#x ♦ 3 1 | 3 3 0 0 | 0 0 1 0 3 0 0 0 0 | * * * * * * 32 * * * | 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 12 12 | 0 0 0 0 0 0 4 6 4 | * * * * * * * 8 * * | 0 1 0 0 1
.x3.o .. *b3.o ♦ 0 4 | 0 0 6 0 | 0 0 0 0 0 0 4 0 0 | * * * * * * * * 8 * | 0 0 1 0 1
.. .o3.x *b3.o ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * 8 | 0 0 0 1 1
------------------+-------+-------------+----------------------------+-------------------------+----------
o.3x.3o. *b3o. ♦ 24 0 | 96 0 0 0 | 32 32 32 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 | 1 * * * *
ox3xo3ox .. ♦ 6 12 | 12 24 12 12 | 4 4 0 12 12 12 4 6 4 | 1 0 0 4 6 4 0 1 0 0 | * 8 * * *
ox3xo .. *b3oo&#x ♦ 6 4 | 12 12 6 0 | 4 0 4 6 12 0 4 0 0 | 0 1 0 4 0 0 4 0 1 0 | * * 8 * *
.. xo3ox *b3oo&#x ♦ 6 4 | 12 12 0 6 | 0 4 4 0 12 6 0 0 4 | 0 0 1 0 0 4 4 0 0 1 | * * * 8 *
.x3.o3.x *b3.o ♦ 0 32 | 0 0 48 48 | 0 0 0 0 0 0 32 24 32 | 0 0 0 0 0 0 0 8 8 8 | * * * * 1
© 2004-2024 | top of page |