Acronym rasa (old: ras)
Name rectified hepteract
Circumradius sqrt(3) = 1.732051
Lace city
in approx. ASCII-art
 ©  
r   Q   r		- o3o3o3o3x4o (rax)
         
Q       Q		- o3o3o3o3o4q (q-ax)
         
r   Q   r		- o3o3o3o3x4o (rax)


where:
r - o3o3o3x4o (rin)
Q - o3o3o3o4q (q-pent)
Coordinates (1/sqrt(2), 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

o3o3o3o3o3x4o

. . . . . . . | 448 |   12 |   30   6 |   40  15 |   30  20 |  12 15 |   2  6
--------------+-----+------+----------+----------+----------+--------+-------
. . . . . x . |   2 | 2688 |    5   1 |   10   5 |   10  10 |   5 10 |   1  5
--------------+-----+------+----------+----------+----------+--------+-------
. . . . o3x . |   3 |    3 | 4480   * |    4   1 |    6   4 |   4  6 |   1  4
. . . . . x4o |   4 |    4 |    * 672     0   5 |    0  10 |   0 10 |   0  5
--------------+-----+------+----------+----------+----------+--------+-------
. . . o3o3x .    4 |    6 |    4   0 | 4480   * |    3   1 |   3  3 |   1  3
. . . . o3x4o   12 |   24 |    8   6 |    * 560     0   4 |   0  6 |   0  4
--------------+-----+------+----------+----------+----------+--------+-------
. . o3o3o3x .    5 |   10 |   10   0 |    5   0 | 2688   * |   2  1 |   1  2
. . . o3o3x4o   32 |   96 |   64  24 |   16   8 |    * 280 |   0  3 |   0  3
--------------+-----+------+----------+----------+----------+--------+-------
. o3o3o3o3x .    6 |   15 |   20   0 |   15   0 |    6   0 | 896  * |   1  1
. . o3o3o3x4o   80 |  320 |  320  80 |  160  40 |   32  10 |   * 84 |   0  2
--------------+-----+------+----------+----------+----------+--------+-------
o3o3o3o3o3x .    7 |   21 |   35   0 |   35   0 |   21   0 |   7  0 | 128  *
. o3o3o3o3x4o  192 |  960 | 1280 240 |  960 160 |  384  60 |  64 12 |   * 14

x3o3x *b3o3o3o3o

. . .    . . . . | 448 |    6    6 |   15   6   15 |  15   20   20 |  20   15   15 | 15   6   6 |  6  1  1
-----------------+-----+-----------+---------------+---------------+---------------+------------+---------
x . .    . . . . |   2 | 1344    * |    5   1    0 |   5   10    0 |  10   10    0 | 10   5   0 |  5  1  0
. . x    . . . . |   2 |    * 1344 |    0   1    5 |   5    0   10 |  10    0   10 | 10   0   5 |  5  0  1
-----------------+-----+-----------+---------------+---------------+---------------+------------+---------
x3o .    . . . . |   3 |    3    0 | 2240   *    * |   1    4    0 |   4    6    0 |  6   4   0 |  4  1  0
x . x    . . . . |   4 |    2    2 |    * 672    *    5    0    0 |  10    0    0 | 10   0   0 |  5  0  0
. o3x    . . . . |   3 |    0    3 |    *   * 2240 |   1    0    4 |   4    0    6 |  6   0   4 |  4  0  1
-----------------+-----+-----------+---------------+---------------+---------------+------------+---------
x3o3x    . . . .   12 |   12   12 |    4   6    4 | 560    *    *    4    0    0 |  6   0   0 |  4  0  0
x3o . *b3o . . .    4 |    6    0 |    4   0    0 |   * 2240    * |   1    3    0 |  3   3   0 |  3  1  0
. o3x *b3o . . .    4 |    0    6 |    0   0    4 |   *    * 2240 |   1    0    3 |  3   0   3 |  3  0  1
-----------------+-----+-----------+---------------+---------------+---------------+------------+---------
x3o3x *b3o . . .   32 |   48   48 |   32  24   32 |   8    8    8 | 280    *    * |  3   0   0 |  3  0  0
x3o . *b3o3o . .    5 |   10    0 |   10   0    0 |   0    5    0 |   * 1344    * |  1   2   0 |  2  1  0
. o3x *b3o3o . .    5 |    0   10 |    0   0   10 |   0    0    5 |   *    * 1344 |  1   0   2 |  2  0  1
-----------------+-----+-----------+---------------+---------------+---------------+------------+---------
x3o3x *b3o3o . .   80 |  160  160 |  160  80  160 |  40   80   80 |  10   16   16 | 84   *   * |  2  0  0
x3o . *b3o3o3o .    6 |   15    0 |   20   0    0 |   0   15    0 |   0    6    0 |  * 448   * |  1  1  0
. o3x *b3o3o3o .    6 |    0   15 |    0   0   20 |   0    0   15 |   0    0    6 |  *   * 448 |  1  0  1
-----------------+-----+-----------+---------------+---------------+---------------+------------+---------
x3o3x *b3o3o3o .  192 |  480  480 |  640 240  640 | 160  480  480 |  60  192  192 | 12  32  32 | 14  *  *
x3o . *b3o3o3o3o    7 |   21    0 |   35   0    0 |   0   35    0 |   0   21    0 |  0   7   0 |  * 64  *
. o3x *b3o3o3o3o    7 |    0   21 |    0   0   35 |   0    0   35 |   0    0   21 |  0   0   7 |  *  * 64

ooo3ooo3ooo3ooo3xox4oqo&#xt   → both heights =  = 1/sqrt(2) = 0.707107
(rax || pseudo q-ax || rax)

... 

© 2004-2019
top of page