tah atop gyro tah
- uniform relative:
- pirhin
- general polytopal classes:
- scaliform segmentotera lace simplices
links
| Acronym | taha (old: tahagtah), tah || gyro tah |
| Name |
tah alterprism, tah atop gyro tah |
| Circumradius | sqrt(37/8) = 2.150581 |
| Face vector | 192, 576, 624, 288, 50 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
xo3xx3ox *b3xx&#x → height = 1/sqrt(2) = 0.707107
(tah || gyro tah)
o.3o.3o. *b3o. | 96 * | 1 2 1 2 0 0 0 | 2 1 1 2 2 2 1 2 0 0 0 0 | 1 2 1 2 1 2 1 2 2 0 0 0 | 1 1 2 1 1 0
.o3.o3.o *b3.o | * 96 | 0 0 0 2 2 1 1 | 0 0 0 0 1 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. .. .. .. | 2 0 | 48 * * * * * * | 2 1 0 0 2 0 0 0 0 0 0 0 | 1 2 0 2 1 2 0 0 0 0 0 0 | 1 1 2 1 0 0
.. x. .. .. | 2 0 | * 96 * * * * * | 1 0 1 1 0 1 0 0 0 0 0 0 | 1 1 1 1 0 0 1 1 0 0 0 0 | 1 1 1 0 1 0
.. .. .. x. | 2 0 | * * 48 * * * * | 0 1 0 2 0 0 0 2 0 0 0 0 | 0 2 1 0 0 2 0 2 1 0 0 0 | 1 0 2 1 1 0
oo3oo3oo *b3oo&#x | 1 1 | * * * 192 * * * | 0 0 0 0 1 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
.. .x .. .. | 0 2 | * * * * 96 * * | 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
.. .. .x .. | 0 2 | * * * * * 48 * | 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
.. .. .. .x | 0 2 | * * * * * * 48 | 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.3x. .. .. | 6 0 | 3 3 0 0 0 0 0 | 32 * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 24 * * * * * * * * * * | 0 2 0 0 0 2 0 0 0 0 0 0 | 1 0 2 1 0 0
.. x.3o. .. | 3 0 | 0 3 0 0 0 0 0 | * * 32 * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. *b3x. | 6 0 | 0 3 3 0 0 0 0 | * * * 32 * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 | 1 0 1 0 1 0
xo .. .. ..&#x | 2 1 | 1 0 0 2 0 0 0 | * * * * 96 * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 2 1 0 0 | * * * * * 96 * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 | 0 1 1 0 1 0
.. .. ox ..&#x | 1 2 | 0 0 0 2 0 1 0 | * * * * * * 96 * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * * 96 * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 1 1 1 0
.o3.x .. .. | 0 3 | 0 0 0 0 3 0 0 | * * * * * * * * 32 * * * | 0 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * * * 32 * * | 0 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 0 1 1
.. .x .. *b3.x | 0 6 | 0 0 0 0 3 0 3 | * * * * * * * * * * 32 * | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 0 1 1
.. .. .x .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 2 0 0 2 | 0 0 0 1 2 1
------------------+-------+-----------------------+-------------------------------------+-------------------------------+-------------
x.3x.3o. .. ♦ 12 0 | 6 12 0 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * | 1 1 0 0 0 0
x.3x. .. *b3x. ♦ 24 0 | 12 12 12 0 0 0 0 | 4 6 0 4 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * | 1 0 1 0 0 0
.. x.3o. *b3x. ♦ 12 0 | 0 12 6 0 0 0 0 | 0 0 4 4 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * | 1 0 0 0 1 0
xo3xx .. ..&#x ♦ 6 3 | 3 3 0 6 3 0 0 | 1 0 0 0 3 3 0 0 1 0 0 0 | * * * 32 * * * * * * * * | 0 1 1 0 0 0
xo .. ox ..&#x ♦ 2 2 | 1 0 0 4 0 1 0 | 0 0 0 0 2 0 2 0 0 0 0 0 | * * * * 48 * * * * * * * | 0 1 0 1 0 0
xo .. .. xx&#x ♦ 4 2 | 2 0 2 4 0 0 1 | 0 1 0 0 2 0 0 2 0 0 0 0 | * * * * * 48 * * * * * * | 0 0 1 1 0 0
.. xx3ox ..&#x ♦ 3 6 | 0 3 0 6 3 3 0 | 0 0 1 0 0 3 3 0 0 1 0 0 | * * * * * * 32 * * * * * | 0 1 0 0 1 0
.. xx .. *b3xx&#x ♦ 6 6 | 0 3 3 6 3 0 3 | 0 0 0 1 0 3 0 3 0 0 1 0 | * * * * * * * 32 * * * * | 0 0 1 0 1 0
.. .. ox xx&#x ♦ 2 4 | 0 0 1 4 0 2 2 | 0 0 0 0 0 0 2 2 0 0 0 1 | * * * * * * * * 48 * * * | 0 0 0 1 1 0
.o3.x3.x .. ♦ 0 12 | 0 0 0 0 12 6 0 | 0 0 0 0 0 0 0 0 4 4 0 0 | * * * * * * * * * 8 * * | 0 1 0 0 0 1
.o3.x .. *b3.x ♦ 0 12 | 0 0 0 0 12 0 6 | 0 0 0 0 0 0 0 0 4 0 4 0 | * * * * * * * * * * 8 * | 0 0 1 0 0 1
.. .x3.x *b3.x ♦ 0 24 | 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 4 4 6 | * * * * * * * * * * * 8 | 0 0 0 0 1 1
------------------+-------+-----------------------+-------------------------------------+-------------------------------+-------------
x.3x.3o. *b3x. ♦ 96 0 | 48 96 48 0 0 0 0 | 32 24 32 32 0 0 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xo3xx3ox ..&#x ♦ 12 12 | 6 12 0 24 12 6 0 | 4 0 4 0 12 12 12 0 4 4 0 0 | 1 0 0 4 6 0 4 0 0 1 0 0 | * 8 * * * *
xo3xx .. *b3xx&#x ♦ 24 12 | 12 12 12 24 12 0 6 | 4 6 0 4 12 12 0 12 4 0 4 0 | 0 1 0 4 0 6 0 4 0 0 1 0 | * * 8 * * *
xo .. ox xx&#x ♦ 4 4 | 2 0 2 8 0 2 2 | 0 1 0 0 4 0 4 4 0 0 0 1 | 0 0 0 0 2 2 0 0 2 0 0 0 | * * * 24 * *
.. xx3ox *b3xx&#x ♦ 12 24 | 0 12 6 24 12 12 12 | 0 0 4 4 0 12 12 12 0 4 4 6 | 0 0 1 0 0 0 4 4 6 0 0 1 | * * * * 8 *
.o3.x3.x *b3.x ♦ 0 96 | 0 0 0 0 96 48 48 | 0 0 0 0 0 0 0 0 32 32 32 24 | 0 0 0 0 0 0 0 0 0 8 8 8 | * * * * * 1
or o.3o.3o. *b3o. & | 192 | 1 2 1 2 | 2 1 1 2 3 2 2 | 1 2 1 3 1 3 2 | 1 1 3 1 --------------------+-----+---------------+-----------------------+----------------------+---------- x. .. .. .. & | 2 | 96 * * * | 2 1 0 0 2 0 0 | 1 2 0 2 1 2 0 | 1 1 2 1 .. x. .. .. & | 2 | * 192 * * | 1 0 1 1 0 1 0 | 1 1 1 2 0 0 1 | 1 1 2 0 .. .. .. x. & | 2 | * * 96 * | 0 1 0 2 0 0 2 | 0 2 1 0 0 3 2 | 1 0 3 1 oo3oo3oo *b3oo&#x | 2 | * * * 192 | 0 0 0 0 2 1 1 | 0 0 0 2 1 2 1 | 0 1 2 1 --------------------+-----+---------------+-----------------------+----------------------+---------- x.3x. .. .. & | 6 | 3 3 0 0 | 64 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0 x. .. .. x. & | 4 | 2 0 2 0 | * 48 * * * * * | 0 2 0 0 0 2 0 | 1 0 2 1 .. x.3o. .. & | 3 | 0 3 0 0 | * * 64 * * * * | 1 0 1 1 0 0 0 | 1 1 1 0 .. x. .. *b3x. & | 6 | 0 3 3 0 | * * * 64 * * * | 0 1 1 0 0 0 1 | 1 0 2 0 xo .. .. ..&#x & | 3 | 1 0 0 2 | * * * * 192 * * | 0 0 0 1 1 1 0 | 0 1 1 1 .. xx .. ..&#x | 4 | 0 2 0 2 | * * * * * 96 * | 0 0 0 2 0 0 1 | 0 1 2 0 .. .. .. xx&#x | 4 | 0 0 2 2 | * * * * * * 96 | 0 0 0 0 0 2 1 | 0 0 2 1 --------------------+-----+---------------+-----------------------+----------------------+---------- x.3x.3o. .. & ♦ 12 | 6 12 0 0 | 4 0 4 0 0 0 0 | 16 * * * * * * | 1 1 0 0 x.3x. .. *b3x. & ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | * 16 * * * * * | 1 0 1 0 .. x.3o. *b3x. & ♦ 12 | 0 12 6 0 | 0 0 4 4 0 0 0 | * * 16 * * * * | 1 0 1 0 xo3xx .. ..&#x & ♦ 9 | 3 6 0 6 | 1 0 1 0 3 3 0 | * * * 64 * * * | 0 1 1 0 xo .. ox ..&#x ♦ 4 | 2 0 0 4 | 0 0 0 0 4 0 0 | * * * * 48 * * | 0 1 0 1 xo .. .. xx&#x & ♦ 6 | 2 0 3 4 | 0 1 0 0 2 0 2 | * * * * * 96 * | 0 0 1 1 .. xx .. *b3xx&#x ♦ 12 | 0 6 6 6 | 0 0 0 2 0 3 3 | * * * * * * 32 | 0 0 2 0 --------------------+-----+---------------+-----------------------+----------------------+---------- x.3x.3o. *b3x. & ♦ 96 | 48 96 48 0 | 32 24 32 32 0 0 0 | 8 8 8 0 0 0 0 | 2 * * * xo3xx3ox ..&#x ♦ 24 | 12 24 0 24 | 8 0 8 0 24 12 0 | 2 0 0 8 6 0 0 | * 8 * * xo3xx .. *b3xx&#x & ♦ 36 | 12 24 18 24 | 4 6 4 8 12 12 12 | 0 1 1 4 0 6 4 | * * 16 * xo .. ox xx&#x ♦ 8 | 4 0 4 8 | 0 2 0 0 8 0 4 | 0 0 0 0 2 4 0 | * * * 24
s2x3x3o4s
demi( . . . . . ) | 192 | 1 2 2 1 | 2 1 2 2 1 3 2 | 1 2 1 1 3 3 2 | 1 1 1 3
------------------+-----+---------------+-----------------------+----------------------+----------
demi( . x . . . ) | 2 | 96 * * * | 2 0 2 0 1 0 0 | 1 2 0 0 3 0 2 | 1 0 1 3
demi( . . x . . ) | 2 | * 192 * * | 1 1 0 1 0 0 1 | 1 1 0 1 0 2 1 | 0 1 1 2
s . 2 . s | 2 | * * 192 * | 0 0 1 1 0 2 0 | 0 1 1 0 2 2 0 | 1 1 0 2
. . . o4s | 2 | * * * 96 | 0 0 0 0 1 2 2 | 0 0 1 1 2 2 2 | 1 1 1 2
------------------+-----+---------------+-----------------------+----------------------+----------
demi( . x3x . . ) | 6 | 3 3 0 0 | 64 * * * * * * | 1 1 0 0 0 0 1 | 0 0 1 2
demi( . . x3o . ) | 3 | 0 3 0 0 | * 64 * * * * * | 1 0 0 1 0 1 0 | 0 1 1 1
s2x 2 . s | 4 | 2 0 2 0 | * * 96 * * * * | 0 1 0 0 2 0 0 | 1 0 0 2
s 2 x 2 s | 4 | 0 2 2 0 | * * * 96 * * * | 0 1 0 0 0 2 0 | 0 1 0 2
. x 2 o4s | 4 | 2 0 0 2 | * * * * 48 * * | 0 0 0 0 2 0 2 | 1 0 1 2
sefa( s . 2 o4s ) | 3 | 0 0 2 1 | * * * * * 192 * | 0 0 1 0 1 1 0 | 1 1 0 1
sefa( . . x3o4s ) | 6 | 0 3 0 3 | * * * * * * 64 | 0 0 0 1 0 1 1 | 0 1 1 1
------------------+-----+---------------+-----------------------+----------------------+----------
demi( . x3x3o . ) ♦ 12 | 6 12 0 0 | 4 4 0 0 0 0 0 | 16 * * * * * * | 0 0 1 1
s2x3x 2 s ♦ 12 | 6 6 6 0 | 2 0 3 3 0 0 0 | * 32 * * * * * | 0 0 0 2
s . 2 o4s ♦ 4 | 0 0 4 2 | 0 0 0 0 0 4 0 | * * 48 * * * * | 1 1 0 0
. . x3o4s ♦ 12 | 0 12 0 6 | 0 4 0 0 0 0 4 | * * * 16 * * * | 0 1 1 0
sefa( s2x 2 o4s ) ♦ 6 | 3 0 4 2 | 0 0 2 0 1 2 0 | * * * * 96 * * | 1 0 0 1
sefa( s 2 x3o4s ) ♦ 9 | 0 6 6 3 | 0 1 0 3 0 3 1 | * * * * * 64 * | 0 1 0 1
sefa( . x3x3o4s ) ♦ 24 | 12 12 0 12 | 4 0 0 0 6 0 4 | * * * * * * 16 | 0 0 1 1
------------------+-----+---------------+-----------------------+----------------------+----------
s2x 2 o4s ♦ 8 | 4 0 8 4 | 0 0 4 0 2 8 0 | 0 0 2 0 4 0 0 | 24 * * *
s 2 x3o4s ♦ 24 | 0 24 24 12 | 0 8 0 12 0 24 8 | 0 0 6 2 0 8 0 | * 8 * *
. x3x3o4s ♦ 96 | 48 96 0 48 | 32 32 0 0 24 0 32 | 8 0 0 8 0 0 8 | * * 2 *
sefa( s2x3x3o4s ) ♦ 36 | 18 24 24 12 | 8 4 12 12 6 12 4 | 1 4 0 0 6 4 1 | * * * 16
starting figure: x x3x3o4x
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