Acronym hocto (alt.: gecdify)
Name hemiocteract,
64(=g)+48(=c)-diminished fy,
Gosset polytope 15,1
Circumradius 1
Lace city
in approx. ASCII-art
 ©  
H   h	where:
     	H = x3o3o *b3o3o3o (hax)
h   H	h = o3o3x *b3o3o3o (alt. hax)
     
|   |
|   +-	o3o3x *b3o3o3o3o (hesa)
+-----	x3o3o *b3o3o3o3o (alt. hesa)
                       _+-----------------	x3o3o3o3o3o3o (oca)
                    _-      _+------------	o3o3x3o3o3o3o (broc)
                 _-      _-      _+-------	o3o3o3o3x3o3o (inv. broc)
              _-      _-      _-      _+--	o3o3o3o3o3o3x (dual oca)
           _-      _-      _-      _-

      o      			-- o3o3o3o3o3o3o (point)
             
h       r    			-- o3x3o3o3o3o3o (roc)
             
  b       B  			-- o3o3o3x3o3o3o (he)
             
    R       H			-- o3o3o3o3o3x3o (inv. roc)
             
       o     			-- o3o3o3o3o3o3o (point)


          \       \
           \       +--	x3o3o *b3o3o3o3o (hesa)
            +---------	o3o3x *b3o3o3o3o (alt. hesa)

where:
o = o3o3o3o3o3o (point)
h = x3o3o3o3o3o (hop)
H = o3o3o3o3o3x (dual hop)
r = o3x3o3o3o3o (ril)
R = o3o3o3o3x3o (inv. ril)
b = o3o3x3o3o3o (bril)
B = o3o3o3x3o3o (inv. bril)
Coordinates (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8))   & all even permutations, all even changes of sign
Confer
uniform relative:
fy   hexdip  
related segmentozetta:
rocpy   brocalbroc  
related scaliforms:
codify  
general polytopal classes:
segmentozetta   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia  

This polyzetton is a hemiation of octo, just as hextes. But this hemiation here is only wrt. all 8 coordinates, while that of hextes is wrt. the first 4 coordinates only. – None the same this alternation for hextes, when directly being applied to octo, would produce different edge sizes, a fact that still can be overcome by resizements. Therefore that relation between hextes and octo is just a combinatorical one, not a metrical one. In contrast to that the case within this polyzetton is different. All edges would come out in the same size directly. In fact, the edges of hocto would just be the diagonals of the squares of octo.

Furthermore it can be derived as the tegum sum of 2 mutually bigyrated hexdips, or, what comes out to be the same, as a (64+48)-diminished fy. (The latter is because fy can be both considered as a tegum sum of hocto and rek, as well as a tegum sum of 2 perpendicular icoes and 3 mutually gyrated hexdips in a further subdivision of the former subsymmetry.)


Incidence matrix according to Dynkin symbol

x3o3o *b3o3o3o3o3o

. . .    . . . . . | 128    28 |  168 |   56  280 |   70  280 |  56  168 |  28   56 |  8   8
-------------------+-----+------+------+-----------+-----------+----------+----------+-------
x . .    . . . . . |   2 | 1792    12 |    6   30 |   15   40 |  20   30 |  15   12 |  6   2
-------------------+-----+------+------+-----------+-----------+----------+----------+-------
x3o .    . . . . . |   3 |    3 | 7168 |    1    5 |    5   10 |  10   10 |  10    5 |  5   1
-------------------+-----+------+------+-----------+-----------+----------+----------+-------
x3o3o    . . . . .    4 |    6 |    4 | 1792    *     5    0 |  10    0 |  10    0 |  5   0
x3o . *b3o . . . .    4 |    6 |    4 |    * 8960 |    1    4 |   4    6 |   6    4 |  4   1
-------------------+-----+------+------+-----------+-----------+----------+----------+-------
x3o3o *b3o . . . .    8 |   24 |   32 |    8    8 | 1120    *    4    0 |   6    0 |  4   0
x3o . *b3o3o . . .    5 |   10 |   10 |    0    5 |    * 7168 |   1    3 |   3    3 |  3   1
-------------------+-----+------+------+-----------+-----------+----------+----------+-------
x3o3o *b3o3o . . .   16 |   80 |  160 |   40   80 |   10   16 | 448    * |   3    0 |  3   0
x3o . *b3o3o3o . .    6 |   15 |   20 |    0   15 |    0    6 |   * 3584 |   1    2 |  2   1
-------------------+-----+------+------+-----------+-----------+----------+----------+-------
x3o3o *b3o3o3o . .   32 |  240 |  640 |  160  480 |   60  192 |  12   32 | 112    * |  2   0
x3o . *b3o3o3o3o .    7 |   21 |   35 |    0   35 |    0   21 |   0    7 |   * 1024 |  1   1
-------------------+-----+------+------+-----------+-----------+----------+----------+-------
x3o3o *b3o3o3o3o .   64 |  672 | 2240 |  560 2240 |  280 1344 |  84  448 |  14   64 | 16   *
x3o . *b3o3o3o3o3o    8 |   28 |   56 |    0   70 |    0   56 |   0   28 |   0    8 |  * 128

o3o3o3o3o3o3o4s

demi( . . . . . . . . ) | 128    28 |  168 |   56  280 |   70  280 |  56  168 |  28   56 |  8   8
------------------------+-----+------+------+-----------+-----------+----------+----------+-------
      . . . . . . o4s   |   2 | 1792    12 |    6   30 |   15   40 |  20   30 |  15   12 |  6   2
------------------------+-----+------+------+-----------+-----------+----------+----------+-------
sefa( . . . . . o3o4s ) |   3 |    3 | 7168 |    1    5 |    5   10 |  10   10 |  10    5 |  5   1
------------------------+-----+------+------+-----------+-----------+----------+----------+-------
      . . . . . o3o4s      4 |    6 |    4 | 1792    *     5    0 |  10    0 |  10    0 |  5   0
sefa( . . . . o3o3o4s )    4 |    6 |    4 |    * 8960 |    1    4 |   4    6 |   6    4 |  4   1
------------------------+-----+------+------+-----------+-----------+----------+----------+-------
      . . . . o3o3o4s      8 |   24 |   32 |    8    8 | 1120    *    4    0 |   6    0 |  4   0
sefa( . . . o3o3o3o4s )    5 |   10 |   10 |    0    5 |    * 7168 |   1    3 |   3    3 |  3   1
------------------------+-----+------+------+-----------+-----------+----------+----------+-------
      . . . o3o3o3o4s     16 |   80 |  160 |   40   80 |   10   16 | 448    * |   3    0 |  3   0
sefa( . . o3o3o3o3o4s )    6 |   15 |   20 |    0   15 |    0    6 |   * 3584 |   1    2 |  2   1
------------------------+-----+------+------+-----------+-----------+----------+----------+-------
      . . o3o3o3o3o4s     32 |  240 |  640 |  160  480 |   60  192 |  12   32 | 112    * |  2   0
sefa( . o3o3o3o3o3o4s )    7 |   21 |   35 |    0   35 |    0   21 |   0    7 |   * 1024 |  1   1
------------------------+-----+------+------+-----------+-----------+----------+----------+-------
      . o3o3o3o3o3o4s     64 |  672 | 2240 |  560 2240 |  280 1344 |  84  448 |  14   64 | 16   *
sefa( o3o3o3o3o3o3o4s )    8 |   28 |   56 |    0   70 |    0   56 |   0   28 |   0    8 |  * 128

starting figure: o3o3o3o3o3o3o4x

xo3oo3ox *b3oo3oo3oo3oo&#x   → height = 1/sqrt(2) = 0.707107
(hesa || alternate hesa)

o.3o.3o. *b3o.3o.3o.3o.    | 64  *   21   7   0 |  105   42   21    0 |  35  140  105  21   35   0    0 |  35  105  35  140   35   0    0 | 21  42  35  105   21  0   0 |  7  7 21  42   7  0  0 | 1  7  7  1 0
.o3.o3.o *b3.o3.o3.o3.o    |  * 64    0   7  21 |    0   21   42  105 |   0    0   35  21  105  35  140 |   0    0  35   35  140  35  105 |  0   0  35   21  105 21  42 |  0  0 21   7  42  7  7 | 0  7  1  7 1
---------------------------+-------+-------------+---------------------+---------------------------------+---------------------------------+-----------------------------+------------------------+-------------
x. .. ..    .. .. .. ..    |  2  0 | 672   *   *    10    2    0    0 |   5   20   10   1    0   0    0 |  10   20   5   20    0   0    0 | 10  10  10   20    0  0   0 |  5  2 10  10   0  0  0 | 1  5  2  0 0
oo3oo3oo *b3oo3oo3oo3oo&#x |  1  1 |   * 448   *     0    6    6    0 |   0    0   15   6   15   0    0 |   0    0  15   20   20   0    0 |  0   0  20   15   15  0   0 |  0  0 15   6   6  0  0 | 0  6  1  1 0
.. .. .x    .. .. .. ..    |  0  2 |   *   * 672     0    0    2   10 |   0    0    0   1   10   5   20 |   0    0   5    0   20  10   20 |  0   0  10    0   20 10  10 |  0  0 10   0  10  5  2 | 0  5  0  2 1
---------------------------+-------+-------------+---------------------+---------------------------------+---------------------------------+-----------------------------+------------------------+-------------
x.3o. ..    .. .. .. ..    |  3  0 |   3   0   0 | 2240    *    *    * |   1    4    1   0    0   0    0 |   4    6   1    4    0   0    0 |  6   4   4    6    0  0   0 |  4  1  6   4   0  0  0 | 1  4  1  0 0
xo .. ..    .. .. .. ..&#x |  2  1 |   1   2   0 |    * 1344    *    * |   0    0    5   1    0   0    0 |   0    0   5   10    0   0    0 |  0   0  10   10    0  0   0 |  0  0 10   5   0  0  0 | 0  5  1  0 0
.. .. ox    .. .. .. ..&#x |  1  2 |   0   2   1 |    *    * 1344    * |   0    0    0   1    5   0    0 |   0    0   5    0   10   0    0 |  0   0  10    0   10  0   0 |  0  0 10   0   5  0  0 | 0  5  0  1 0
.. .o3.x    .. .. .. ..    |  0  3 |   0   0   3 |    *    *    * 2240 |   0    0    0   0    1   1    4 |   0    0   1    0    4   4    6 |  0   0   4    0    6  6   4 |  0  0  6   0   4  4  1 | 0  4  0  1 1
---------------------------+-------+-------------+---------------------+---------------------------------+---------------------------------+-----------------------------+------------------------+-------------
x.3o.3o.    .. .. .. ..      4  0 |   6   0   0 |    4    0    0    0 | 560    *    *   *    *   *    *    4    0   1    0    0   0    0 |  3   0   4    0    0  0   0 |  4  0  6   0   0  0  0 | 1  4  0  0 0
x.3o. .. *b3o. .. .. ..      4  0 |   6   0   0 |    4    0    0    0 |   * 2240    *   *    *   *    * |   1    3   0    1    0   0    0 |  3   3   1    3    0  0   0 |  3  1  3   3   0  0  0 | 1  3  1  0 0
xo3oo ..    .. .. .. ..&#x   3  1 |   3   3   0 |    1    3    0    0 |   *    * 2240   *    *   *    * |   0    0   4    1    0   0    0 |  0   0   4    6    0  0   0 |  0  0  6   4   0  0  0 | 0  4  1  0 0
xo .. ox    .. .. .. ..&#x   2  2 |   1   4   1 |    0    2    2    0 |   *    *    * 672    *   *    *    0    0   5    0    0   0    0 |  0   0  10    0    0  0   0 |  0  0 10   0   0  0  0 | 0  5  0  0 0
.. oo3ox    .. .. .. ..&#x   1  3 |   0   3   3 |    0    0    3    1 |   *    *    *   * 2240   *    * |   0    0   1    0    4   0    0 |  0   0   4    0    6  0   0 |  0  0  6   0   4  0  0 | 0  4  0  1 0
.o3.o3.x    .. .. .. ..      0  4 |   0   0   6 |    0    0    0    4 |   *    *    *   *    * 560    *    0    0   1    0    0   4    0 |  0   0   4    0    0  6   0 |  0  0  6   0   0  4  0 | 0  4  0  0 1
.. .o3.x *b3.o .. .. ..      0  4 |   0   0   6 |    0    0    0    4 |   *    *    *   *    *   * 2240 |   0    0   0    0    1   1    3 |  0   0   1    0    3  3   3 |  0  0  3   0   3  3  1 | 0  3  0  1 1
---------------------------+-------+-------------+---------------------+---------------------------------+---------------------------------+-----------------------------+------------------------+-------------
x.3o.3o. *b3o. .. .. ..      8  0 |  24   0   0 |   32    0    0    0 |   8    8    0   0    0   0    0 | 280    *   *    *    *   *    *   3   0   1    0    0  0   0 |  3  0  3   0   0  0  0 | 1  3  0  0 0
x.3o. .. *b3o.3o. .. ..      5  0 |  10   0   0 |   10    0    0    0 |   0    5    0   0    0   0    0 |   * 1344   *    *    *   *    * |  1   2   0    1    0  0   0 |  2  1  1   2   0  0  0 | 1  2  1  0 0
xo3oo3ox    .. .. .. ..&#x   4  4 |   6  12   6 |    4   12   12    4 |   1    0    4   6    4   1    0 |   *    * 560    *    *   *    *   0   0   4    0    0  0   0 |  0  0  6   0   0  0  0 | 0  4  0  0 0
xo3oo .. *b3oo .. .. ..&#x   4  1 |   6   4   0 |    4    6    0    0 |   0    1    4   0    0   0    0 |   *    *   * 2240    *   *    * |  0   0   1    3    0  0   0 |  0  0  3   3   0  0  0 | 0  3  1  0 0
.. oo3ox *b3oo .. .. ..&#x   1  4 |   0   4   6 |    0    0    6    4 |   0    0    0   0    4   0    1 |   *    *   *    * 2240   *    * |  0   0   1    0    3  0   0 |  0  0  3   0   3  0  0 | 0  3  0  1 0
.o3.o3.x *b3.o .. .. ..      0  8 |   0   0  24 |    0    0    0   32 |   0    0    0   0    0   8    8 |   *    *   *    *    * 280    *   0   0   1    0    0  3   0 |  0  0  3   0   0  3  0 | 0  3  0  0 1
.. .o3.x *b3.o3.o .. ..      0  5 |   0   0  10 |    0    0    0   10 |   0    0    0   0    0   0    5 |   *    *   *    *    *   * 1344 |  0   0   0    0    1  1   2 |  0  0  1   0   2  2  1 | 0  2  0  1 1
---------------------------+-------+-------------+---------------------+---------------------------------+---------------------------------+-----------------------------+------------------------+-------------
x.3o.3o. *b3o.3o. .. ..     16  0 |  80   0   0 |  160    0    0    0 |  40   80    0   0    0   0    0 |  10   16   0    0    0   0    0 | 84   *   *    *    *  *   * |  2  0  1   0   0  0  0 | 1  2  0  0 0
x.3o. .. *b3o.3o.3o. ..      6  0 |  15   0   0 |   20    0    0    0 |   0   15    0   0    0   0    0 |   0    6   0    0    0   0    0 |  * 448   *    *    *  *   * |  1  1  0   1   0  0  0 | 1  1  1  0 0
xo3oo3ox *b3oo .. .. ..&#x   8  8 |  24  32  24 |   32   48   48   32 |   8    8   32  24   32   8    8 |   1    0   8    8    8   1    0 |  *   * 280    *    *  *   * |  0  0  3   0   0  0  0 | 0  3  0  0 0
xo3oo .. *b3oo3oo .. ..&#x   5  1 |  10   5   0 |   10   10    0    0 |   0    5   10   0    0   0    0 |   0    1   0    5    0   0    0 |  *   *   * 1344    *  *   * |  0  0  1   2   0  0  0 | 0  2  1  0 0
.. oo3ox *b3oo3oo .. ..&#x   1  5 |   0   5  10 |    0    0   10   10 |   0    0    0   0   10   0    5 |   0    0   0    0    5   0    1 |  *   *   *    * 1344  *   * |  0  0  1   0   2  0  0 | 0  2  0  1 0
.o3.o3.x *b3.o3.o .. ..      0 16 |   0   0  80 |    0    0    0  160 |   0    0    0   0    0  40   80 |   0    0   0    0    0  10   16 |  *   *   *    *    * 84   * |  0  0  1   0   0  2  0 | 0  2  0  0 1
.. .o3.x *b3.o3.o3.o ..      0  6 |   0   0  15 |    0    0    0   20 |   0    0    0   0    0   0   15 |   0    0   0    0    0   0    6 |  *   *   *    *    *  * 448 |  0  0  0   0   1  1  1 | 0  1  0  1 1
---------------------------+-------+-------------+---------------------+---------------------------------+---------------------------------+-----------------------------+------------------------+-------------
x.3o.3o. *b3o.3o.3o. ..     32  0 | 240   0   0 |  640    0    0    0 | 160  480    0   0    0   0    0 |  60  192   0    0    0   0    0 | 12  32   0    0    0  0   0 | 14  *  *   *   *  *  * | 1  1  0  0 0
x.3o. .. *b3o.3o.3o.3o.      7  0 |  21   0   0 |   35    0    0    0 |   0   35    0   0    0   0    0 |   0   21   0    0    0   0    0 |  0   7   0    0    0  0   0 |  * 64  *   *   *  *  * | 1  0  1  0 0
xo3oo3ox *b3oo3oo .. ..&#x  16 16 |  80  80  80 |  160  160  160  160 |  40   80  160  80  160  40   80 |  10   16  40   80   80  10   16 |  1   0  10   16   16  1   0 |  *  * 84   *   *  *  * | 0  2  0  0 0
xo3oo .. *b3oo3oo3oo ..&#x   6  1 |  15   6   0 |   20   15    0    0 |   0   15   20   0    0   0    0 |   0    6   0   15    0   0    0 |  0   1   0    6    0  0   0 |  *  *  * 448   *  *  * | 0  1  1  0 0
.. oo3ox *b3oo3oo3oo ..&#x   1  6 |   0   6  15 |    0    0   15   20 |   0    0    0   0   20   0   15 |   0    0   0    0   15   0    6 |  0   0   0    0    6  0   1 |  *  *  *   * 448  *  * | 0  1  0  1 0
.o3.o3.x *b3.o3.o3.o ..      0 32 |   0   0 240 |    0    0    0  640 |   0    0    0   0    0 160  480 |   0    0   0    0    0  60  192 |  0   0   0    0    0 12  32 |  *  *  *   *   * 14  * | 0  1  0  0 1
.. .o3.x *b3.o3.o3.o3.o      0  7 |   0   0  21 |    0    0    0   35 |   0    0    0   0    0   0   35 |   0    0   0    0    0   0   21 |  0   0   0    0    0  0   7 |  *  *  *   *   *  * 64 | 0  0  0  1 1
---------------------------+-------+-------------+---------------------+---------------------------------+---------------------------------+-----------------------------+------------------------+-------------
x.3o.3o. *b3o.3o.3o.3o.     64  0 | 672   0   0 | 2240    0    0    0 | 560 2240    0   0    0   0    0 | 280 1344   0    0    0   0    0 | 84 448   0    0    0  0   0 | 14 64  0   0   0  0  0 | 1  *  *  * *
xo3oo3ox *b3oo3oo3oo ..&#x  32 32 | 240 192 240 |  640  480  480  640 | 160  480  640 240  640 160  480 |  60  192 160  480  480  60  192 | 12  32  60  192  192 12  32 |  1  0 12  32  32  1  0 | * 14  *  * *
xo3oo .. *b3oo3oo3oo3oo&#x   7  1 |  21   7   0 |   35   21    0    0 |   0   35   35   0    0   0    0 |   0   21   0   35    0   0    0 |  0   7   0   21    0  0   0 |  0  1  0   7   0  0  0 | *  * 64  * *
.. oo3ox *b3oo3oo3oo3oo&#x   1  7 |   0   7  21 |    0    0   21   35 |   0    0    0   0   35   0   35 |   0    0   0    0   35   0   21 |  0   0   0    0   21  0   7 |  0  0  0   0   7  0  1 | *  *  * 64 *
.o3.o3.x *b3.o3.o3.o3.o      0 64 |   0   0 672 |    0    0    0 2240 |   0    0    0   0    0 560 2240 |   0    0   0    0    0 280 1344 |  0   0   0    0    0 84 448 |  0  0  0   0   0 14 64 | *  *  *  * 1
or
o.3o.3o. *b3o.3o.3o.3o.    & | 128    21   7 |  105   63 |   35  140  140  21 |  35  105  35  175 |  21  42  35  126 |  7   7 21  49 | 1  7   8
-----------------------------+-----+----------+-----------+--------------------+-------------------+------------------+---------------+---------
x. .. ..    .. .. .. ..    & |   2 | 1344   *    10    2 |    5   20   10   1 |  10   20   5   20 |  10  10  10   20 |  5   2 10  10 | 1  5   2
oo3oo3oo *b3oo3oo3oo3oo&#x   |   2 |    * 448     0   12 |    0    0   30   6 |   0    0  15   40 |   0   0  20   30 |  0   0 15  12 | 0  6   2
-----------------------------+-----+----------+-----------+--------------------+-------------------+------------------+---------------+---------
x.3o. ..    .. .. .. ..    & |   3 |    3   0 | 4480    * |    1    4    1   0 |   4    6   1    4 |   6   4   4    6 |  4   1  6   4 | 1  4   1
xo .. ..    .. .. .. ..&#x & |   3 |    1   2 |    * 2688 |    0    0    5   1 |   0    0   5   10 |   0   0  10   10 |  0   0 10   5 | 0  5   1
-----------------------------+-----+----------+-----------+--------------------+-------------------+------------------+---------------+---------
x.3o.3o.    .. .. .. ..    &    4 |    6   0 |    4    0 | 1120    *    *   *    4    0   1    0 |   3   0   4    0 |  4   0  6   0 | 1  4   0
x.3o. .. *b3o. .. .. ..    &    4 |    6   0 |    4    0 |    * 4480    *   * |   1    3   0    1 |   3   3   1    3 |  3   1  3   3 | 1  3   1
xo3oo ..    .. .. .. ..&#x &    4 |    3   3 |    1    3 |    *    * 4480   * |   0    0   4    1 |   0   0   4    6 |  0   0  6   4 | 0  4   1
xo .. ox    .. .. .. ..&#x      4 |    2   4 |    0    4 |    *    *    * 672    0    0   5    0 |   0   0  10    0 |  0   0 10   0 | 0  5   0
-----------------------------+-----+----------+-----------+--------------------+-------------------+------------------+---------------+---------
x.3o.3o. *b3o. .. .. ..    &    8 |   24   0 |   32    0 |    8    8    0   0 | 560    *   *    *    3   0   1    0 |  3   0  3   0 | 1  3   0
x.3o. .. *b3o.3o. .. ..    &    5 |   10   0 |   10    0 |    0    5    0   0 |   * 2688   *    * |   1   2   0    1 |  2   1  1   2 | 1  2   1
xo3oo3ox    .. .. .. ..&#x      8 |   12  12 |    8   24 |    1    0    8   6 |   *    * 560    *    0   0   4    0 |  0   0  6   0 | 0  4   0
xo3oo .. *b3oo .. .. ..&#x &    5 |    6   4 |    4    6 |    0    1    4   0 |   *    *   * 4480 |   0   0   1    3 |  0   0  3   3 | 0  3   1
-----------------------------+-----+----------+-----------+--------------------+-------------------+------------------+---------------+---------
x.3o.3o. *b3o.3o. .. ..    &   16 |   80   0 |  160    0 |   40   80    0   0 |  10   16   0    0 | 168   *   *    * |  2   0  1   0 | 1  2   0
x.3o. .. *b3o.3o.3o. ..    &    6 |   15   0 |   20    0 |    0   15    0   0 |   0    6   0    0 |   * 896   *    * |  1   1  0   1 | 1  1   1
xo3oo3ox *b3oo .. .. ..&#x     16 |   48  32 |   64   96 |   16   16   64  24 |   2    0   8   16 |   *   * 280    * |  0   0  3   0 | 0  3   0
xo3oo .. *b3oo3oo .. ..&#x &    6 |   10   5 |   10   10 |    0    5   10   0 |   0    1   0    5 |   *   *   * 2688 |  0   0  1   2 | 0  2   1
-----------------------------+-----+----------+-----------+--------------------+-------------------+------------------+---------------+---------
x.3o.3o. *b3o.3o.3o. ..    &   32 |  240   0 |  640    0 |  160  480    0   0 |  60  192   0    0 |  12  32   0    0 | 28   *  *   * | 1  1   0
x.3o. .. *b3o.3o.3o.3o.    &    7 |   21   0 |   35    0 |    0   35    0   0 |   0   21   0    0 |   0   7   0    0 |  * 128  *   * | 1  0   1
xo3oo3ox *b3oo3oo .. ..&#x     32 |  160  80 |  320  320 |   80  160  320  80 |  20   32  40  160 |   2   0  10   32 |  *   * 84   * | 0  2   0
xo3oo .. *b3oo3oo3oo ..&#x &    7 |   15   6 |   20   15 |    0   15   20   0 |   0    6   0   15 |   0   1   0    6 |  *   *  * 896 | 0  1   1
-----------------------------+-----+----------+-----------+--------------------+-------------------+------------------+---------------+---------
x.3o.3o. *b3o.3o.3o.3o.    &   64 |  672   0 | 2240    0 |  560 2240    0   0 | 280 1344   0    0 |  84 448   0    0 | 14  64  0   0 | 2  *   *
xo3oo3ox *b3oo3oo3oo ..&#x     64 |  480 192 | 1280  960 |  320  960 1280 240 | 120  384 160  960 |  24  64  60  384 |  2   0 12  64 | * 14   *
xo3oo .. *b3oo3oo3oo3oo&#x &    8 |   21   7 |   35   21 |    0   35   35   0 |   0   21   0   35 |   0   7   0   21 |  0   1  0   7 | *  * 128

xooo3oooo3oxoo3oooo3ooxo3oooo3ooox&#xt   → all heights = 1/2
(oca || pseudo broc || pseudo inv. broc || dual oca)

... 

ooooo3oxooo3ooooo3ooxoo3ooooo3oooxo3ooooo&#xt   → all heights = 1/2
(pt || pseudo roc || pseudo he || pseudo inv. roc || pt)

... 

xo3oo3ox *b3oo xo3oo3ox *f3oo&#zx   → height = 0
(tegum sum of 2 mutually bigyrated hexdips)

o.3o.3o. *b3o. o.3o.3o. *f3o.     & | 128   12   16 |   24  144 |   8   8  128   48  144 |  2  32   40  240  36 |  8  48   72   96 | 12 16   56 |  8   8
------------------------------------+-----+----------+-----------+------------------------+----------------------+------------------+------------+-------
x. .. ..    .. .. .. ..    ..     & |   2 | 768    *     4    8 |   2   2   16    4   12 |  1   8    8   32   6 |  4  16   14   16 |  7  8   12 |  6   2
oo3oo3oo *b3oo oo3oo3oo *f3oo&#x    |   2 |   * 1024     0   12 |   0   0   12    6   18 |  0   6    4   36  18 |  2  18   12   18 |  6  9   12 |  6   2
------------------------------------+-----+----------+-----------+------------------------+----------------------+------------------+------------+-------
x.3o. ..    .. .. .. ..    ..     & |   3 |   3    0 | 1024    * |   1   1    4    0    0 |  1   4    4    6   0 |  4   6    6    4 |  6  4    5 |  5   1
xo .. ..    .. .. .. ..    ..&#x  & |   3 |   1    2 |    * 6144 |   0   0    2    1    3 |  0   2    1    9   3 |  1   9    4    6 |  4  6    5 |  5   1
------------------------------------+-----+----------+-----------+------------------------+----------------------+------------------+------------+-------
x.3o.3o.    .. .. .. ..    ..     &    4 |   6    0 |    4    0 | 256   *    *    *    *   1   4    0    0   0 |  4   6    0    0 |  6  4    0 |  5   0
x.3o. .. *b3o. .. .. ..    ..     &    4 |   6    0 |    4    0 |   * 256    *    *    * |  1   0    4    0   0 |  4   0    6    0 |  6  0    4 |  4   1
xo3oo ..    .. .. .. ..    ..&#x  &    4 |   3    3 |    1    3 |   *   * 4096    *    * |  0   1    1    3   0 |  1   3    3    3 |  3  3    4 |  4   1
xo .. ox    .. .. .. ..    ..&#x  &    4 |   2    4 |    0    4 |   *   *    * 1536    *   0   2    0    0   3 |  1   9    0    0 |  4  6    0 |  5   0
xo .. ..    .. .. .. ox    ..&#x  &    4 |   2    4 |    0    4 |   *   *    *    * 4608 |  0   0    0    4   1 |  0   4    2    4 |  2  4    4 |  4   1
------------------------------------+-----+----------+-----------+------------------------+----------------------+------------------+------------+-------
x.3o.3o. *b3o. .. .. ..    ..     &    8 |  24    0 |   32    0 |   8   8    0    0    0 | 32   *    *    *   *   4   0    0    0 |  6  0    0 |  4   0
xo3oo3ox    .. .. .. ..    ..&#x  &    8 |  12   12 |    8   24 |   2   0    8    6    0 |  * 512    *    *   *   1   3    0    0 |  3  3    0 |  4   0
xo3oo .. *b3oo .. .. ..    ..&#x  &    5 |   6    4 |    4    6 |   0   1    4    0    0 |  *   * 1024    *   * |  1   0    3    0 |  3  0    3 |  3   1
xo3oo ..    .. .. .. ox    ..&#x  &    5 |   4    6 |    1    9 |   0   0    2    0    3 |  *   *    * 6144   * |  0   1    1    2 |  1  2    3 |  3   1
xo .. ox    .. xo .. ox    ..&#zx      8 |   8   16 |    0   32 |   0   0    0    8    8 |  *   *    *    * 576   0   4    0    0 |  2  4    0 |  4   0
------------------------------------+-----+----------+-----------+------------------------+----------------------+------------------+------------+-------
xo3oo3ox *b3oo .. .. ..    ..&#x  &   16 |  48   32 |   64   96 |  16  16   64   24    0 |  2   8   16    0   0 | 64   *    *    * |  3  0    0 |  3   0
xo3oo3ox    .. xo .. ox    ..&#zx &   16 |  32   48 |   16  144 |   4   0   32   36   48 |  0   4    0   16   6 |  * 384    *    * |  1  2    0 |  3   0
xo3oo .. *b3oo .. .. ox    ..&#x  &    6 |   7    8 |    4   16 |   0   1    8    0    6 |  0   0    2    4   0 |  *   * 1536    * |  1  0    2 |  2   1
xo3oo ..    .. .. oo3ox    ..&#x  &    6 |   6    9 |    2   18 |   0   0    6    0    9 |  0   0    0    6   0 |  *   *    * 2048 |  0  1    2 |  2   1
------------------------------------+-----+----------+-----------+------------------------+----------------------+------------------+------------+-------
xo3oo3ox *b3oo xo .. ox    ..&#zx &   32 | 112  128 |  128  512 |  32  32  256  128  192 |  4  32   64  128  24 |  4   8   32    0 | 48  *    * |  2   0
xo3oo3ox    .. xo3oo3ox    ..&#zx     32 |  96  144 |   64  576 |  16   0  192  144  288 |  0  24    0  192  36 |  0  12    0   32 |  * 64    * |  2   0
xo3oo .. *b3oo .. oo3ox    ..&#x  &    7 |   9   12 |    5   30 |   0   1   16    0   18 |  0   0    3   18   0 |  0   0    3    4 |  *  * 1024 |  1   1
------------------------------------+-----+----------+-----------+------------------------+----------------------+------------------+------------+-------
xo3oo3ox *b3oo xo3oo3ox    ..&#zx &   64 | 288  384 |  320 1920 |  80  64 1024  480 1152 |  8 128  192 1152 144 | 12  72  192  256 |  6  8   64 | 16   *
xo3oo .. *b3oo .. oo3ox *f3oo&#x  &    8 |  12   16 |    8   48 |   0   2   32    0   36 |  0   0    8   48   0 |  0   0   12   16 |  0  0    8 |  * 128

© 2004-2019
top of page