Acronym | rittip |
Name | rectified-tesseract prism |
Circumradius | sqrt(7)/2 = 1.322876 |
Lace city in approx. ASCII-art |
x3o x x3x x o3x x -- o3x4o x (cope) o3o x u3o x o3u x o3o x -- o3o4q x ((q,q,q,x)-tes) x3o x x3x x o3x x -- o3x4o x (cope) \ \ \ \ \ \ \ +-- x3o3o x (tepe) \ \ +--------- x3x3o x (tuttip) \ +---------------- o3x3x x (inv. tuttip) +----------------------- o3o3x x (inv. tepe) |
x4o x o4q x x4o x -- o3x4o x (cope) o4q x o4q x -- o3o4q x ((q,q,q,x)-tes) x4o x o4q x x4o x -- o3x4o x (cope) | |
o3x4o o3o4q o3x4o -- o3o3x4o (rit) o3x4o o3o4q o3x4o -- o3o3x4o (rit) | | +-- o3x4o x (cope) | +---------- o3o4q x ((q,q,q,x)-tes) +------------------ o3x4o x (cope) | |
x3o3o x3x3o o3x3x o3o3x -- o3o3x4o (rit) x3o3o x3x3o o3x3x o3o3x -- o3o3x4o (rit) | | | +-- o3o3x x (tepe) | | +-------- o3x3x x (tuttip) | +-------------- x3x3o x (inv. tuttip) +-------------------- x3o3o x (inv. tepe) | |
Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 1/2) & all permutations in all but last coord., all changes of sign |
Volume | 23/6 = 3.833333 |
Face vector | 64, 224, 272, 136, 26 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x o3o3x4o . . . . . | 64 | 1 6 | 6 6 3 | 6 3 2 3 | 2 3 1 ----------+----+--------+-----------+-------------+------- x . . . . | 2 | 32 * ♦ 6 0 0 | 6 3 0 0 | 2 3 0 . . . x . | 2 | * 192 | 1 2 1 | 2 1 1 2 | 1 2 1 ----------+----+--------+-----------+-------------+------- x . . x . | 4 | 2 2 | 96 * * | 2 1 0 0 | 1 2 0 . . o3x . | 3 | 0 3 | * 128 * | 1 0 1 1 | 1 1 1 . . . x4o | 4 | 0 4 | * * 48 | 0 1 0 2 | 0 2 1 ----------+----+--------+-----------+-------------+------- x . o3x . ♦ 6 | 3 6 | 3 2 0 | 64 * * * | 1 1 0 x . . x4o ♦ 8 | 4 8 | 4 0 2 | * 24 * * | 0 2 0 . o3o3x . ♦ 4 | 0 6 | 0 4 0 | * * 32 * | 1 0 1 . . o3x4o ♦ 12 | 0 24 | 0 8 6 | * * * 16 | 0 1 1 ----------+----+--------+-----------+-------------+------- x o3o3x . ♦ 8 | 4 12 | 6 8 0 | 4 0 2 0 | 16 * * x . o3x4o ♦ 24 | 12 48 | 24 16 12 | 8 6 0 2 | * 8 * . o3o3x4o ♦ 32 | 0 96 | 0 64 24 | 0 0 16 8 | * * 2
x x3o3x *c3o . . . . . | 64 | 1 3 3 | 3 3 3 3 3 | 3 3 3 3 1 1 | 3 1 1 1 -------------+----+----------+----------------+-------------------+-------- x . . . . | 2 | 32 * * ♦ 3 3 0 0 0 | 3 3 3 0 0 0 | 3 1 1 0 . x . . . | 2 | * 96 * | 1 0 2 1 0 | 2 1 0 2 1 0 | 2 1 0 1 . . . x . | 2 | * * 96 | 0 1 0 1 2 | 0 1 2 2 0 1 | 2 0 1 1 -------------+----+----------+----------------+-------------------+-------- x x . . . | 4 | 2 2 0 | 48 * * * * | 2 1 0 0 0 0 | 2 1 0 0 x . . x . | 4 | 2 0 2 | * 48 * * * | 0 1 2 0 0 0 | 2 0 1 0 . x3o . . | 3 | 0 3 0 | * * 64 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . x . | 4 | 0 2 2 | * * * 48 * | 0 1 0 2 0 0 | 2 0 0 1 . . o3x . | 3 | 0 0 3 | * * * * 64 | 0 0 1 1 0 1 | 1 0 1 1 -------------+----+----------+----------------+-------------------+-------- x x3o . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 32 * * * * * | 1 1 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 24 * * * * | 2 0 0 0 x . o3x . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 32 * * * | 1 0 1 0 . x3o3x . ♦ 12 | 0 12 12 | 0 0 4 6 4 | * * * 16 * * | 1 0 0 1 . x3o . *c3o ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * * 16 * | 0 1 0 1 . . o3x *c3o ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 16 | 0 0 1 1 -------------+----+----------+----------------+-------------------+-------- x x3o3x . ♦ 24 | 12 24 24 | 12 12 8 12 8 | 4 6 4 2 0 0 | 8 * * * x x3o . *c3o ♦ 8 | 4 12 0 | 6 0 8 0 0 | 4 0 0 0 2 0 | * 8 * * x . o3x *c3o ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 8 * . x3o3x *c3o ♦ 32 | 0 48 48 | 0 0 32 24 32 | 0 0 0 8 8 8 | * * * 2
xx3oo3xx *b3oo&#x → height = 1
(rit || rit)
o.3o.3o. *b3o. | 32 * | 3 3 1 0 0 | 3 3 3 3 3 0 0 0 | 3 1 1 3 3 3 0 0 0 | 1 3 1 1 0
.o3.o3.o *b3.o | * 32 | 0 0 1 3 3 | 0 0 0 3 3 3 3 3 | 0 0 0 3 3 3 3 1 1 | 0 3 1 1 1
------------------+-------+----------------+-------------------------+----------------------+----------
x. .. .. .. | 2 0 | 48 * * * * | 2 1 0 1 0 0 0 0 | 2 1 0 2 1 0 0 0 0 | 1 2 1 0 0
.. .. x. .. | 2 0 | * 48 * * * | 0 1 2 0 1 0 0 0 | 2 0 1 0 1 2 0 0 0 | 1 2 0 1 0
oo3oo3oo *b3oo&#x | 1 1 | * * 32 * * ♦ 0 0 0 3 3 0 0 0 | 0 0 0 3 3 3 0 0 0 | 0 3 1 1 0
.x .. .. .. | 0 2 | * * * 48 * | 0 0 0 1 0 2 1 0 | 0 0 0 2 1 0 2 1 0 | 0 2 1 0 1
.. .. .x .. | 0 2 | * * * * 48 | 0 0 0 0 1 0 1 2 | 0 0 0 0 1 2 2 0 1 | 0 2 0 1 1
------------------+-------+----------------+-------------------------+----------------------+----------
x.3o. .. .. | 3 0 | 3 0 0 0 0 | 32 * * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 | * 24 * * * * * * | 2 0 0 0 1 0 0 0 0 | 1 2 0 0 0
.. o.3x. .. | 3 0 | 0 3 0 0 0 | * * 32 * * * * * | 1 0 1 0 0 1 0 0 0 | 1 1 0 1 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 48 * * * * | 0 0 0 2 1 0 0 0 0 | 0 2 1 0 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 48 * * * | 0 0 0 0 1 2 0 0 0 | 0 2 0 1 0
.x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * 32 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * 24 * | 0 0 0 0 1 0 2 0 0 | 0 2 0 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * * 32 | 0 0 0 0 0 1 1 0 1 | 0 1 0 1 1
------------------+-------+----------------+-------------------------+----------------------+----------
x.3o.3x. .. ♦ 12 0 | 12 12 0 0 0 | 4 6 4 0 0 0 0 0 | 8 * * * * * * * * | 1 1 0 0 0
x.3o. .. *b3o. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | * 8 * * * * * * * | 1 0 1 0 0
.. o.3x. *b3o. ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 | * * 8 * * * * * * | 1 0 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * * 32 * * * * * | 0 1 1 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * * 24 * * * * | 0 2 0 0 0
.. oo3xx ..&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 3 0 0 1 | * * * * * 32 * * * | 0 1 0 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 0 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * 8 * * | 0 1 0 0 1
.x3.o .. *b3.o ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * 8 * | 0 0 1 0 1
.. .o3.x *b3.o ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * 8 | 0 0 0 1 1
------------------+-------+----------------+-------------------------+----------------------+----------
x.3o.3x. *b3o. ♦ 32 0 | 48 48 0 0 0 | 32 24 32 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 | 1 * * * *
xx3oo3xx ..&#x ♦ 12 12 | 12 12 12 12 12 | 4 6 4 12 12 4 6 4 | 1 0 0 4 6 4 1 0 0 | * 8 * * *
xx3oo .. *b3oo&#x ♦ 4 4 | 6 0 4 6 0 | 4 0 0 6 0 4 0 0 | 0 1 0 4 0 0 0 1 0 | * * 8 * *
.. oo3xx *b3oo&#x ♦ 4 4 | 0 6 4 0 6 | 0 0 4 0 6 0 0 4 | 0 0 1 0 0 4 0 0 1 | * * * 8 *
.x3.o3.x *b3.o ♦ 0 32 | 0 0 0 48 48 | 0 0 0 0 0 32 24 32 | 0 0 0 0 0 0 8 8 8 | * * * * 1
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