Acronym | broca (old: brocalbroc) |
Name |
broc alterprism, broc atop inverted broc, central segment of hocto |
Circumradius | 1 |
Face vector | 112, 1400, 5040, 7420, 5684, 2632, 704, 88 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3oo3ox3oo3xo3oo3oo&#x → height = 1/2
(broc || inv broc)
o.3o.3o.3o.3o.3o.3o. & | 112 | 15 10 | 30 15 90 | 30 30 5 80 40 90 | 15 30 10 25 35 150 30 | 3 15 10 11 45 45 60 | 3 5 13 35 15 | 1 8 5
--------------------------+-----+---------+---------------+----------------------------+------------------------------+----------------------------+-----------------+--------
.. .. .. .. x. .. .. & | 2 | 840 * | 4 2 4 | 6 8 1 8 4 6 | 4 12 4 4 8 16 6 | 1 8 6 4 7 16 8 | 2 4 7 6 8 | 1 6 1
oo3oo3oo3oo3oo3oo3oo&#x | 2 | * 560 | 0 0 12 | 0 0 0 12 6 18 | 0 0 0 4 6 36 9 | 0 0 0 2 12 18 18 | 0 0 6 12 9 | 0 6 2
--------------------------+-----+---------+---------------+----------------------------+------------------------------+----------------------------+-----------------+--------
.. .. .. o.3x. .. .. & | 3 | 3 0 | 1120 * * | 3 2 0 0 1 0 | 3 6 1 0 2 0 3 | 1 6 3 1 0 9 0 | 2 3 4 0 6 | 1 5 0
.. .. .. .. x.3o. .. & | 3 | 3 0 | * 560 * | 0 4 1 4 0 0 | 0 6 4 4 4 6 0 | 0 4 6 4 6 6 4 | 1 4 6 5 4 | 1 5 1
.. .. ox .. .. .. ..&#x & | 3 | 1 2 | * * 3360 | 0 0 0 2 1 3 | 0 0 0 1 2 9 3 | 0 0 0 1 4 9 6 | 0 0 4 5 6 | 0 5 1
--------------------------+-----+---------+---------------+----------------------------+------------------------------+----------------------------+-----------------+--------
.. .. o.3o.3x. .. .. & ♦ 4 | 6 0 | 4 0 0 | 840 * * * * * | 2 2 0 0 0 0 1 | 1 4 1 0 0 4 0 | 2 2 2 0 4 | 1 4 0
.. .. .. o.3x.3o. .. & ♦ 6 | 12 0 | 4 4 0 | * 560 * * * * | 0 3 1 0 1 0 0 | 0 3 3 1 0 3 0 | 1 3 3 0 3 | 1 4 0
.. .. .. .. x.3o.3o. & ♦ 4 | 6 0 | 0 4 0 | * * 140 * * * | 0 0 4 4 0 0 0 | 0 0 6 4 6 0 0 | 0 4 6 4 0 | 1 4 1
.. oo3ox .. .. .. ..&#x & ♦ 4 | 3 3 | 0 1 3 | * * * 2240 * * | 0 0 0 1 1 3 0 | 0 0 0 1 3 3 3 | 0 0 3 4 3 | 0 4 1
.. .. ox3oo .. .. ..&#x & ♦ 4 | 3 3 | 1 0 3 | * * * * 1120 * | 0 0 0 0 2 0 3 | 0 0 0 1 0 9 0 | 0 0 4 0 6 | 0 5 0
.. .. ox .. xo .. ..&#x ♦ 4 | 2 4 | 0 0 4 | * * * * * 2520 | 0 0 0 0 0 4 1 | 0 0 0 0 2 4 4 | 0 0 2 4 4 | 0 4 1
--------------------------+-----+---------+---------------+----------------------------+------------------------------+----------------------------+-----------------+--------
.. o.3o.3o.3x. .. .. & ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 0 0 | 336 * * * * * * | 1 2 0 0 0 1 0 | 2 1 1 0 2 | 1 3 0
.. .. o.3o.3x.3o. .. & ♦ 10 | 30 0 | 20 10 0 | 5 5 0 0 0 0 | * 336 * * * * * | 0 2 1 0 0 1 0 | 1 2 1 0 2 | 1 3 0
.. .. .. o.3x.3o.3o. & ♦ 10 | 30 0 | 10 20 0 | 0 5 5 0 0 0 | * * 112 * * * * | 0 0 3 1 0 0 0 | 0 3 3 0 0 | 1 3 0
oo3oo3ox .. .. .. ..&#x & ♦ 5 | 6 4 | 0 4 6 | 0 0 1 4 0 0 | * * * 560 * * * | 0 0 0 1 3 0 0 | 0 0 3 3 0 | 0 3 1
.. oo3ox3oo .. .. ..&#x & ♦ 7 | 12 6 | 4 4 12 | 0 1 0 4 4 0 | * * * * 560 * * | 0 0 0 1 0 3 0 | 0 0 3 0 3 | 0 4 0
.. oo3ox .. xo .. ..&#x & ♦ 5 | 4 6 | 0 1 9 | 0 0 0 2 0 3 | * * * * * 3360 * | 0 0 0 0 1 1 2 | 0 0 1 3 2 | 0 3 1
.. .. ox3oo3xo .. ..&#x ♦ 8 | 12 12 | 8 0 24 | 2 0 0 0 8 6 | * * * * * * 420 | 0 0 0 0 0 4 0 | 0 0 2 0 4 | 0 4 0
--------------------------+-----+---------+---------------+----------------------------+------------------------------+----------------------------+-----------------+--------
o.3o.3o.3o.3x. .. .. & ♦ 6 | 15 0 | 20 0 0 | 15 0 0 0 0 0 | 6 0 0 0 0 0 0 | 56 * * * * * * | 2 0 1 0 0 | 1 2 0
.. o.3o.3o.3x.3o. .. & ♦ 15 | 60 0 | 60 20 0 | 30 15 0 0 0 0 | 6 6 0 0 0 0 0 | * 112 * * * * * | 1 1 0 0 1 | 1 2 0
.. .. o.3o.3x.3o.3o. & ♦ 20 | 90 0 | 60 60 0 | 15 30 15 0 0 0 | 0 6 6 0 0 0 0 | * * 56 * * * * | 0 2 1 0 0 | 1 2 0
oo3oo3ox3oo .. .. ..&#x & ♦ 11 | 30 10 | 10 20 30 | 0 5 5 20 10 0 | 0 0 1 5 5 0 0 | * * * 112 * * * | 0 0 3 0 0 | 0 3 0
oo3oo3ox .. xo .. ..&#x & ♦ 6 | 7 8 | 0 4 16 | 0 0 1 8 0 6 | 0 0 0 2 0 4 0 | * * * * 840 * * | 0 0 1 2 0 | 0 2 1
.. oo3ox3oo3xo .. ..&#x & ♦ 15 | 40 30 | 30 10 90 | 10 5 0 20 30 30 | 1 1 0 0 5 10 5 | * * * * * 336 * | 0 0 1 0 2 | 0 3 0
.. oo3ox .. xo3oo ..&#x ♦ 6 | 6 9 | 0 2 18 | 0 0 0 6 0 9 | 0 0 0 0 0 6 0 | * * * * * * 1120 | 0 0 0 2 1 | 0 2 1
--------------------------+-----+---------+---------------+----------------------------+------------------------------+----------------------------+-----------------+--------
o.3o.3o.3o.3x.3o. .. & ♦ 21 | 105 0 | 140 35 0 | 105 35 0 0 0 0 | 42 21 0 0 0 0 0 | 7 7 0 0 0 0 0 | 16 * * * * | 1 1 0
.. o.3o.3o.3x.3o.3o. & ♦ 35 | 210 0 | 210 140 0 | 105 105 35 0 0 0 | 21 42 21 0 0 0 0 | 0 7 7 0 0 0 0 | * 16 * * * | 1 1 0
oo3oo3ox3oo3xo .. ..&#x & ♦ 26 | 105 60 | 80 60 240 | 30 30 15 120 80 90 | 6 6 6 30 30 60 15 | 1 0 1 6 15 6 0 | * * 56 * * | 0 2 0
oo3oo3ox .. xo3oo ..&#x & ♦ 7 | 9 12 | 0 5 30 | 0 0 1 16 0 18 | 0 0 0 3 0 18 0 | 0 0 0 0 3 0 4 | * * * 560 * | 0 1 1
.. oo3ox3oo3xo3oo ..&#x ♦ 30 | 120 90 | 120 40 360 | 60 30 0 120 120 180 | 12 12 0 0 30 120 30 | 0 2 0 0 0 12 20 | * * * * 56 | 0 2 0
--------------------------+-----+---------+---------------+----------------------------+------------------------------+----------------------------+-----------------+--------
o.3o.3o.3o.3x.3o.3o. & ♦ 56 | 420 0 | 560 280 0 | 420 280 70 0 0 0 | 168 168 56 0 0 0 0 | 28 56 28 0 0 0 0 | 8 8 0 0 0 | 2 * *
oo3oo3ox3oo3xo3oo ..&#x & ♦ 56 | 315 210 | 350 175 1050 | 210 140 35 560 350 630 | 63 63 21 105 140 630 105 | 7 14 7 21 105 63 140 | 1 1 7 35 7 | * 16 *
oo3oo3ox .. xo3oo3oo&#x ♦ 8 | 12 16 | 0 8 48 | 0 0 2 32 0 36 | 0 0 0 8 0 48 0 | 0 0 0 0 12 0 16 | 0 0 0 8 0 | * * 70
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