Acronym saro
Name small rhombated octaexon,
cantellated octaexon
Circumradius sqrt(2) = 1.414214
Lace city
in approx. ASCII-art
          _+---------- x x3o3o3o3o (hixip)
        _/        _+-- x x3x3o3o3o (tixip)
      _/        _/

    h    r  		-- o3x3o3o3o3o (ril)
            
            
h    u    t 		-- x3x3o3o3o3o (til)
            
            
 r    t    s		-- x3o3x3o3o3o (sril)

where:
h = x3o3o3o3o (hix)
r = o3x3o3o3o (inv. rix)
u = u3o3o3o3o (u-hix)
t = x3x3o3o3o (tix)
s = x3o3x3o3o (srix)
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3o3x3o3o3o3o

. . . . . . . | 168 |   2  10 |  1  10   5   20 |  5  20  10  20 | 10  20  10  10 | 10  10  5  2 | 5  2 1
--------------+-----+---------+-----------------+----------------+----------------+--------------+-------
x . . . . . . |   2 | 168   * |  1   5   0    0 |  5  10   0   0 | 10  10   0   0 | 10   5  0  0 | 5  1 0
. . x . . . . |   2 |   * 840 |  0   1   1    4 |  1   4   4   6 |  4   6   6   4 |  6   4  4  1 | 4  1 1
--------------+-----+---------+-----------------+----------------+----------------+--------------+-------
x3o . . . . . |   3 |   3   0 | 56   *   *    *   5   0   0   0 | 10   0   0   0 | 10   0  0  0 | 5  0 0
x . x . . . . |   4 |   2   2 |  * 420   *    * |  1   4   0   0 |  4   6   0   0 |  6   4  0  0 | 4  1 0
. o3x . . . . |   3 |   0   3 |  *   * 280    * |  1   0   4   0 |  4   0   6   0 |  6   0  4  0 | 4  0 1
. . x3o . . . |   3 |   0   3 |  *   *   * 1120 |  0   1   1   3 |  1   3   3   3 |  3   3  3  1 | 3  1 1
--------------+-----+---------+-----------------+----------------+----------------+--------------+-------
x3o3x . . . .   12 |  12  12 |  4   6   4    0 | 70   *   *   *   4   0   0   0 |  6   0  0  0 | 4  0 0
x . x3o . . .    6 |   3   6 |  0   3   0    2 |  * 560   *   * |  1   3   0   0 |  3   3  0  0 | 3  1 0
. o3x3o . . .    6 |   0  12 |  0   0   4    4 |  *   * 280   * |  1   0   3   0 |  3   0  3  0 | 3  0 1
. . x3o3o . .    4 |   0   6 |  0   0   0    4 |  *   *   * 840 |  0   1   1   2 |  1   2  2  1 | 2  1 1
--------------+-----+---------+-----------------+----------------+----------------+--------------+-------
x3o3x3o . . .   30 |  30  60 | 10  30  20   20 |  5  10   5   0 | 56   *   *   * |  3   0  0  0 | 3  0 0
x . x3o3o . .    8 |   4  12 |  0   6   0    8 |  0   4   0   2 |  * 420   *   * |  1   2  0  0 | 2  1 0
. o3x3o3o . .   10 |   0  30 |  0   0  10   20 |  0   0   5   5 |  *   * 168   * |  1   0  2  0 | 2  0 1
. . x3o3o3o .    5 |   0  10 |  0   0   0   10 |  0   0   0   5 |  *   *   * 336 |  0   1  1  1 | 1  1 1
--------------+-----+---------+-----------------+----------------+----------------+--------------+-------
x3o3x3o3o . .   60 |  60 180 | 20  90  60  120 | 15  60  30  30 |  6  15   6   0 | 28   *  *  * | 2  0 0
x . x3o3o3o .   10 |   5  20 |  0  10   0   20 |  0  10   0  10 |  0   5   0   2 |  * 168  *  * | 1  1 0
. o3x3o3o3o .   15 |   0  60 |  0   0  20   60 |  0   0  15  30 |  0   0   6   6 |  *   * 56  * | 1  0 1
. . x3o3o3o3o    6 |   0  15 |  0   0   0   20 |  0   0   0  15 |  0   0   0   6 |  *   *  * 56 | 0  1 1
--------------+-----+---------+-----------------+----------------+----------------+--------------+-------
x3o3x3o3o3o .  105 | 105 420 | 35 210 140  420 | 35 210 105 210 | 21 105  42  42 |  7  21  7  0 | 8  * *
x . x3o3o3o3o   12 |   6  30 |  0  15   0   40 |  0  20   0  30 |  0  15   0  12 |  0   6  0  2 | * 28 *
. o3x3o3o3o3o   21 |   0 105 |  0   0  35  140 |  0   0  35 105 |  0   0  21  42 |  0   0  7  7 | *  * 8

oxx3xxo3oox3ooo3ooo3ooo&#xt   → all heights = sqrt(4/7) = 0.755929
(ril || pseudo til || sril)

... 

© 2004-2019
top of page