Acronym rax
Name rectified hexeract,
rectified dodecapeton
Circumradius sqrt(5/2) = 1.581139
Lace city
in approx. ASCII-art
 ©  
r   Q   r		- o3o3o3x4o (rin)
         
Q       Q		- o3o3o3o4q (q-pent)
         
r   Q   r		- o3o3o3x4o (rin)


where:
r - o3o3x4o (rit)
Q - o3o3o4q (q-tes)
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o3o3o3x4o

. . . . . . | 192   10 |   20   5 |  20  10 |  10 10 |  2  5
------------+-----+-----+----------+---------+--------+------
. . . . x . |   2 | 960 |    4   1 |   6   4 |   4  6 |  1  4
------------+-----+-----+----------+---------+--------+------
. . . o3x . |   3 |   3 | 1280   * |   3   1 |   3  3 |  1  3
. . . . x4o |   4 |   4 |    * 240    0   4 |   0  6 |  0  4
------------+-----+-----+----------+---------+--------+------
. . o3o3x .    4 |   6 |    4   0 | 960   * |   2  1 |  1  2
. . . o3x4o   12 |  24 |    8   6 |   * 160 |   0  3 |  0  3
------------+-----+-----+----------+---------+--------+------
. o3o3o3x .    5 |  10 |   10   0 |   5   0 | 384  * |  1  1
. . o3o3x4o   32 |  96 |   64  24 |  16   8 |   * 60 |  0  2
------------+-----+-----+----------+---------+--------+------
o3o3o3o3x .    6 |  15 |   20   0 |  15   0 |   6  0 | 64  *
. o3o3o3x4o   80 | 320 |  320  80 | 160  40 |  32 10 |  * 12

o3o3o3o3x4/3o

. . . . .   . | 192   10 |   20   5 |  20  10 |  10 10 |  2  5
--------------+-----+-----+----------+---------+--------+------
. . . . x   . |   2 | 960 |    4   1 |   6   4 |   4  6 |  1  4
--------------+-----+-----+----------+---------+--------+------
. . . o3x   . |   3 |   3 | 1280   * |   3   1 |   3  3 |  1  3
. . . . x4/3o |   4 |   4 |    * 240    0   4 |   0  6 |  0  4
--------------+-----+-----+----------+---------+--------+------
. . o3o3x   .    4 |   6 |    4   0 | 960   * |   2  1 |  1  2
. . . o3x4/3o   12 |  24 |    8   6 |   * 160 |   0  3 |  0  3
--------------+-----+-----+----------+---------+--------+------
. o3o3o3x   .    5 |  10 |   10   0 |   5   0 | 384  * |  1  1
. . o3o3x4/3o   32 |  96 |   64  24 |  16   8 |   * 60 |  0  2
--------------+-----+-----+----------+---------+--------+------
o3o3o3o3x   .    6 |  15 |   20   0 |  15   0 |   6  0 | 64  *
. o3o3o3x4/3o   80 | 320 |  320  80 | 160  40 |  32 10 |  * 12

x3o3x *b3o3o3o

. . .    . . . | 192 |   5   5 |  10   5  10 |  10  10  10 | 10   5   5 |  5  1  1
---------------+-----+---------+-------------+-------------+------------+---------
x . .    . . . |   2 | 480   * |   4   1   0 |   4   6   0 |  6   4   0 |  4  1  0
. . x    . . . |   2 |   * 480 |   0   1   4 |   4   0   6 |  6   0   4 |  4  0  1
---------------+-----+---------+-------------+-------------+------------+---------
x3o .    . . . |   3 |   3   0 | 640   *   * |   1   3   0 |  3   3   0 |  3  1  0
x . x    . . . |   4 |   2   2 |   * 240   *    4   0   0 |  6   0   0 |  4  0  0
. o3x    . . . |   3 |   0   3 |   *   * 640 |   1   0   3 |  3   0   3 |  3  0  1
---------------+-----+---------+-------------+-------------+------------+---------
x3o3x    . . .   12 |  12  12 |   4   6   4 | 160   *   * |  3   0   0 |  3  0  0
x3o . *b3o . .    4 |   6   0 |   4   0   0 |   * 480   * |  1   2   0 |  2  1  0
. o3x *b3o . .    4 |   0   6 |   0   0   4 |   *   * 480 |  1   0   2 |  2  0  1
---------------+-----+---------+-------------+-------------+------------+---------
x3o3x *b3o . .   32 |  48  48 |  32  24  32 |   8   8   8 | 60   *   * |  2  0  0
x3o . *b3o3o .    5 |  10   0 |  10   0   0 |   0   5   0 |  * 192   * |  1  1  0
. o3x *b3o3o .    5 |   0  10 |   0   0  10 |   0   0   5 |  *   * 192 |  1  0  1
---------------+-----+---------+-------------+-------------+------------+---------
x3o3x *b3o3o .   80 | 160 160 | 160  80 160 |  40  80  80 | 10  16  16 | 12  *  *
x3o . *b3o3o3o    6 |  15   0 |  20   0   0 |   0  15   0 |  0   6   0 |  * 32  *
. o3x *b3o3o3o    6 |   0  15 |   0   0  20 |   0   0  15 |  0   0   6 |  *  * 32

ooo3ooo3ooo3xox4oqo&#xt   → both heights =  = 1/sqrt(2) = 0.707107
(rin || pseudo q-pent || rin)

... 

© 2004-2019
top of page