Acronym hopastaf
Name hop atop staf,
half of suph (its hop-first rotunda),
partial Stott expansion of oca
Circumradius 1
Lace city
in approx. ASCII-art
  o   h  		-- o3o3o3o3o3x (hop)
         
H   S   h		-- x3o3o3o3o3x (staf)

where:
o - o3o3o3o3o (point)
h - x3o3o3o3o (hix)
S - x3o3o3o3x (scad)
H - o3o3o3o3x (dual hix)
Confer
uniform relative:
suph   laq  
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

xo3oo3oo3oo3oo3xx&#x   height = 2/sqrt(7) = 0.755929
(staf || hop)

o.3o.3o.3o.3o.3o.    | 42 * |   5   5  1  0 |  10  20  10   5   5  0 |  10  30  30  10  10  20  10  0 |  5  20  30  20  5  10  30  30  20  0 | 1  5 10 10  5 1  5  20  30  20  5 0 | 1 1  5 10 10  5 1 0
.o3.o3.o3.o3.o3.o    |  * 7 |   0   0  6  6 |   0   0   0  15  30 15 |   0   0   0   0  20  60  60 20 |  0   0   0   0  0  15  60  90  60 15 | 0  0  0  0  0 0  6  30  60  60 30 6 | 0 1  6 15 20 15 6 1
---------------------+------+---------------+------------------------+--------------------------------+--------------------------------------+-------------------------------------+--------------------
x. .. .. .. .. ..    |  2 0 | 105   *  *  * |   4   4   0   1   0  0 |   6  12   6   0   4   4   0  0 |  4  12  12   4  0   6  12   6   0  0 | 1  4  6  4  1 0  4  12  12   4  0 0 | 1 1  4  6  4  1 0 0
.. .. .. .. .. x.    |  2 0 |   * 105  *  * |   0   4   4   0   1  0 |   0   6  12   6   0   4   4  0 |  0   4  12  12  4   0   6  12   6  0 | 0  1  4  6  4 1  0   4  12  12  4 0 | 1 0  1  4  6  4 1 0
oo3oo3oo3oo3oo3oo&#x |  1 1 |   *   * 42  * |   0   0   0   5   5  0 |   0   0   0   0  10  20  10  0 |  0   0   0   0  0  10  30  30  10  0 | 0  0  0  0  0 0  5  20  30  20  5 0 | 0 1  5 10 10  5 1 0
.. .. .. .. .. .x    |  0 2 |   *   *  * 21 |   0   0   0   0   5  5 |   0   0   0   0   0  10  20 10 |  0   0   0   0  0   0  10  30  30 10 | 0  0  0  0  0 0  0   5  20  30 20 5 | 0 0  1  5 10 10 5 1
---------------------+------+---------------+------------------------+--------------------------------+--------------------------------------+-------------------------------------+--------------------
x.3o. .. .. .. ..    |  3 0 |   3   0  0  0 | 140   *   *   *   *  * |   3   3   0   0   1   0   0  0 |  3   6   3   0  0   3   3   0   0  0 | 1  3  3  1  0 0  3   6   3   0  0 0 | 1 1  3  3  1  0 0 0
x. .. .. .. .. x.    |  4 0 |   2   2  0  0 |   * 210   *   *   *  * |   0   3   3   0   0   1   0  0 |  0   3   6   3  0   0   3   3   0  0 | 0  1  3  3  1 0  0   3   6   3  0 0 | 1 0  1  3  3  1 0 0
.. .. .. .. o.3x.    |  3 0 |   0   3  0  0 |   *   * 140   *   *  * |   0   0   3   3   0   0   1  0 |  0   0   3   6  3   0   0   3   3  0 | 0  0  1  3  3 1  0   0   3   6  3 0 | 1 0  0  1  3  3 1 0
xo .. .. .. .. ..&#x |  2 1 |   1   0  2  0 |   *   *   * 105   *  * |   0   0   0   0   4   4   0  0 |  0   0   0   0  0   6  12   6   0  0 | 0  0  0  0  0 0  4  12  12   4  0 0 | 0 1  4  6  4  1 0 0
.. .. .. .. .. xx&#x |  2 2 |   0   1  2  1 |   *   *   *   * 105  * |   0   0   0   0   0   4   4  0 |  0   0   0   0  0   0   6  12   6  0 | 0  0  0  0  0 0  0   4  12  12  4 0 | 0 0  1  4  6  4 1 0
.. .. .. .. .o3.x    |  0 3 |   0   0  0  3 |   *   *   *   *   * 35 |   0   0   0   0   0   0   4  4 |  0   0   0   0  0   0   0   6  12  6 | 0  0  0  0  0 0  0   0   4  12 12 4 | 0 0  0  1  4  6 4 1
---------------------+------+---------------+------------------------+--------------------------------+--------------------------------------+-------------------------------------+--------------------
x.3o.3o. .. .. ..      4 0 |   6   0  0  0 |   4   0   0   0   0  0 | 105   *   *   *   *   *   *  * |  2   2   0   0  0   1   0   0   0  0 | 1  2  1  0  0 0  2   2   0   0  0 0 | 1 1  2  1  0  0 0 0
x.3o. .. .. .. x.      6 0 |   6   3  0  0 |   2   3   0   0   0  0 |   * 210   *   *   *   *   *  * |  0   2   2   0  0   0   1   0   0  0 | 0  1  2  1  0 0  0   2   2   0  0 0 | 1 0  1  2  1  0 0 0
x. .. .. .. o.3x.      6 0 |   3   6  0  0 |   0   3   2   0   0  0 |   *   * 210   *   *   *   *  * |  0   0   2   2  0   0   0   1   0  0 | 0  0  1  2  1 0  0   0   2   2  0 0 | 1 0  0  1  2  1 0 0
.. .. .. o.3o.3x.      4 0 |   0   6  0  0 |   0   0   4   0   0  0 |   *   *   * 105   *   *   *  * |  0   0   0   2  2   0   0   0   1  0 | 0  0  0  1  2 1  0   0   0   2  2 0 | 1 0  0  0  1  2 1 0
xo3oo .. .. .. ..&#x   3 1 |   3   0  3  0 |   1   0   0   3   0  0 |   *   *   *   * 140   *   *  * |  0   0   0   0  0   3   3   0   0  0 | 0  0  0  0  0 0  3   6   3   0  0 0 | 0 1  3  3  1  0 0 0
xo .. .. .. .. xx&#x   4 2 |   2   2  4  1 |   0   1   0   2   2  0 |   *   *   *   *   * 210   *  * |  0   0   0   0  0   0   3   3   0  0 | 0  0  0  0  0 0  0   3   6   3  0 0 | 0 0  1  3  3  1 0 0
.. .. .. .. oo3xx&#x   3 3 |   0   3  3  3 |   0   0   1   0   3  1 |   *   *   *   *   *   * 140  * |  0   0   0   0  0   0   0   3   3  0 | 0  0  0  0  0 0  0   0   3   6  3 0 | 0 0  0  1  3  3 1 0
.. .. .. .o3.o3.x      0 4 |   0   0  0  6 |   0   0   0   0   0  4 |   *   *   *   *   *   *   * 35 |  0   0   0   0  0   0   0   0   3  3 | 0  0  0  0  0 0  0   0   0   3  6 3 | 0 0  0  0  1  3 3 1
---------------------+------+---------------+------------------------+--------------------------------+--------------------------------------+-------------------------------------+--------------------
x.3o.3o.3o. .. ..      5 0 |  10   0  0  0 |  10   0   0   0   0  0 |   5   0   0   0   0   0   0  0 | 42   *   *   *  *   *   *   *   *  * | 1  1  0  0  0 0  1   0   0   0  0 0 | 1 1  1  0  0  0 0 0
x.3o.3o. .. .. x.      8 0 |  12   4  0  0 |   8   6   0   0   0  0 |   2   4   0   0   0   0   0  0 |  * 105   *   *  *   *   *   *   *  * | 0  1  1  0  0 0  0   1   0   0  0 0 | 1 0  1  1  0  0 0 0
x.3o. .. .. o.3x.      9 0 |   9   9  0  0 |   3   9   3   0   0  0 |   0   3   3   0   0   0   0  0 |  *   * 140   *  *   *   *   *   *  * | 0  0  1  1  0 0  0   0   1   0  0 0 | 1 0  0  1  1  0 0 0
x. .. .. o.3o.3x.      8 0 |   4  12  0  0 |   0   6   8   0   0  0 |   0   0   4   2   0   0   0  0 |  *   *   * 105  *   *   *   *   *  * | 0  0  0  1  1 0  0   0   0   1  0 0 | 1 0  0  0  1  1 0 0
.. .. o.3o.3o.3x.      5 0 |   0  10  0  0 |   0   0  10   0   0  0 |   0   0   0   5   0   0   0  0 |  *   *   *   * 42   *   *   *   *  * | 0  0  0  0  1 1  0   0   0   0  1 0 | 1 0  0  0  0  1 1 0
xo3oo3oo .. .. ..&#x   4 1 |   6   0  4  0 |   4   0   0   6   0  0 |   1   0   0   0   4   0   0  0 |  *   *   *   *  * 105   *   *   *  * | 0  0  0  0  0 0  2   2   0   0  0 0 | 0 1  2  1  0  0 0 0
xo3oo .. .. .. xx&#x   6 2 |   6   3  6  1 |   2   3   0   6   3  0 |   0   1   0   0   2   3   0  0 |  *   *   *   *  *   * 210   *   *  * | 0  0  0  0  0 0  0   2   2   0  0 0 | 0 0  1  2  1  0 0 0
xo .. .. .. oo3xx&#x   6 3 |   3   6  6  3 |   0   3   2   3   6  1 |   0   0   1   0   0   3   2  0 |  *   *   *   *  *   *   * 210   *  * | 0  0  0  0  0 0  0   0   2   2  0 0 | 0 0  0  1  2  1 0 0
.. .. .. oo3oo3xx&#x   4 4 |   0   6  4  6 |   0   0   4   0   6  4 |   0   0   0   1   0   0   4  1 |  *   *   *   *  *   *   *   * 105  * | 0  0  0  0  0 0  0   0   0   2  2 0 | 0 0  0  0  1  2 1 0
.. .. .o3.o3.o3.x      0 5 |   0   0  0 10 |   0   0   0   0   0 10 |   0   0   0   0   0   0   0  5 |  *   *   *   *  *   *   *   *   * 21 | 0  0  0  0  0 0  0   0   0   0  2 2 | 0 0  0  0  0  1 2 1
---------------------+------+---------------+------------------------+--------------------------------+--------------------------------------+-------------------------------------+--------------------
x.3o.3o.3o.3o. ..      6 0 |  15   0  0  0 |  20   0   0   0   0  0 |  15   0   0   0   0   0   0  0 |  6   0   0   0  0   0   0   0   0  0 | 7  *  *  *  * *  *   *   *   *  * * | 1 1  0  0  0  0 0 0
x.3o.3o.3o. .. x.     10 0 |  20   5  0  0 |  20  10   0   0   0  0 |  10  10   0   0   0   0   0  0 |  2   5   0   0  0   0   0   0   0  0 | * 21  *  *  * *  *   *   *   *  * * | 1 0  1  0  0  0 0 0
x.3o.3o. .. o.3x.     12 0 |  18  12  0  0 |  12  18   4   0   0  0 |   3  12   6   0   0   0   0  0 |  0   3   4   0  0   0   0   0   0  0 | *  * 35  *  * *  *   *   *   *  * * | 1 0  0  1  0  0 0 0
x.3o. .. o.3o.3x.     12 0 |  12  18  0  0 |   4  18  12   0   0  0 |   0   6  12   3   0   0   0  0 |  0   0   4   3  0   0   0   0   0  0 | *  *  * 35  * *  *   *   *   *  * * | 1 0  0  0  1  0 0 0
x. .. o.3o.3o.3x.     10 0 |   5  20  0  0 |   0  10  20   0   0  0 |   0   0  10  10   0   0   0  0 |  0   0   0   5  2   0   0   0   0  0 | *  *  *  * 21 *  *   *   *   *  * * | 1 0  0  0  0  1 0 0
.. o.3o.3o.3o.3x.      6 0 |   0  15  0  0 |   0   0  20   0   0  0 |   0   0   0  15   0   0   0  0 |  0   0   0   0  6   0   0   0   0  0 | *  *  *  *  * 7  *   *   *   *  * * | 1 0  0  0  0  0 1 0
xo3oo3oo3oo .. ..&#x   5 1 |  10   0  5  0 |  10   0   0  10   0  0 |   5   0   0   0  10   0   0  0 |  1   0   0   0  0   5   0   0   0  0 | *  *  *  *  * * 42   *   *   *  * * | 0 1  1  0  0  0 0 0
xo3oo3oo .. .. xx&#x   8 2 |  12   4  8  1 |   8   6   0  12   4  0 |   2   4   0   0   8   6   0  0 |  0   1   0   0  0   2   4   0   0  0 | *  *  *  *  * *  * 105   *   *  * * | 0 0  1  1  0  0 0 0
xo3oo .. .. oo3xx&#x   9 3 |   9   9  9  3 |   3   9   3   9   9  1 |   0   3   3   0   3   9   3  0 |  0   0   1   0  0   0   3   3   0  0 | *  *  *  *  * *  *   * 140   *  * * | 0 0  0  1  1  0 0 0
xo .. .. oo3oo3xx&#x   8 4 |   4  12  8  6 |   0   6   8   4  12  4 |   0   0   4   2   0   6   8  1 |  0   0   0   1  0   0   0   4   2  0 | *  *  *  *  * *  *   *   * 105  * * | 0 0  0  0  1  1 0 0
.. .. oo3oo3oo3xx&#x   5 5 |   0  10  5 10 |   0   0  10   0  10 10 |   0   0   0   5   0   0  10  5 |  0   0   0   0  1   0   0   0   5  1 | *  *  *  *  * *  *   *   *   * 42 * | 0 0  0  0  0  1 1 0
.. .o3.o3.o3.o3.x      0 6 |   0   0  0 15 |   0   0   0   0   0 20 |   0   0   0   0   0   0   0 15 |  0   0   0   0  0   0   0   0   0  6 | *  *  *  *  * *  *   *   *   *  * 7 | 0 0  0  0  0  0 1 1
---------------------+------+---------------+------------------------+--------------------------------+--------------------------------------+-------------------------------------+--------------------
x.3o.3o.3o.3o.3x.     42 0 | 105 105  0  0 | 140 210 140   0   0  0 | 105 210 210 105   0   0   0  0 | 42 105 140 105 42   0   0   0   0  0 | 7 21 35 35 21 7  0   0   0   0  0 0 | 1 *  *  *  *  * * *
xo3oo3oo3oo3oo ..&#x   6 1 |  15   0  6  0 |  20   0   0  15   0  0 |  15   0   0   0  20   0   0  0 |  6   0   0   0  0  15   0   0   0  0 | 1  0  0  0  0 0  6   0   0   0  0 0 | * 7  *  *  *  * * *
xo3oo3oo3oo .. xx&#x  10 2 |  20   5 10  1 |  20  10   0  20   5  0 |  10  10   0   0  20  10   0  0 |  2   5   0   0  0  10  10   0   0  0 | 0  1  0  0  0 0  2   5   0   0  0 0 | * * 21  *  *  * * *
xo3oo3oo .. oo3xx&#x  12 3 |  18  12 12  3 |  12  18   4  18  12  1 |   3  12   6   0  12  18   4  0 |  0   3   4   0  0   3  12   6   0  0 | 0  0  1  0  0 0  0   3   4   0  0 0 | * *  * 35  *  * * *
xo3oo .. oo3oo3xx&#x  12 4 |  12  18 12  6 |   4  18  12  12  18  4 |   0   6  12   3   4  18  12  1 |  0   0   4   3  0   0   6  12   3  0 | 0  0  0  1  0 0  0   0   4   3  0 0 | * *  *  * 35  * * *
xo .. oo3oo3oo3xx&#x  10 5 |   5  20 10 10 |   0  10  20   5  20 10 |   0   0  10  10   0  10  20  5 |  0   0   0   5  2   0   0  10  10  1 | 0  0  0  0  1 0  0   0   0   5  2 0 | * *  *  *  * 21 * *
.. oo3oo3oo3oo3xx&#x   6 6 |   0  15  6 15 |   0   0  20   0  15 20 |   0   0   0  15   0   0  20 15 |  0   0   0   0  6   0   0   0  15  6 | 0  0  0  0  0 1  0   0   0   0  6 1 | * *  *  *  *  * 7 *
.o3.o3.o3.o3.o3.x      0 7 |   0   0  0 21 |   0   0   0   0   0 35 |   0   0   0   0   0   0   0 35 |  0   0   0   0  0   0   0   0   0 21 | 0  0  0  0  0 0  0   0   0   0  0 7 | * *  *  *  *  * * 1

© 2004-2019
top of page