Acronym | octa tutcup, oct || tutcup |
Name | oct atop tuta |
Circumradius | sqrt(13/8) = 1.274755 |
Lace city in approx. ASCII-art |
o3x3o o3x3x x3x3o |
Coordinates | |
Face vector | 30, 96, 120, 69, 17 |
Confer |
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Incidence matrix according to Dynkin symbol
xoo3xxx3oox&#x → height(1,2) = height(2,3) = sqrt(7/5) = 1.183216
height(1,3) = sqrt(3/2) = 1.224745
(oct || tuta) → height(2,13) = 1/sqrt(2) = 0.707107
o..3o..3o.. | 12 * * | 1 2 1 2 0 0 0 0 | 2 1 1 2 2 2 1 2 0 0 0 0 0 0 | 1 2 1 2 1 1 2 2 1 0 0 0 0 | 1 1 2 1 1 0
.o.3.o.3.o. | * 6 * | 0 0 2 0 4 2 0 0 | 0 0 1 4 0 0 0 4 2 2 4 1 0 0 | 0 2 2 0 0 0 2 4 2 1 2 2 0 | 1 0 2 1 2 1
..o3..o3..o | * * 12 | 0 0 0 2 0 1 2 1 | 0 0 0 0 1 2 2 2 0 0 2 1 1 2 | 0 0 0 1 1 2 1 2 2 0 1 2 1 | 0 1 1 1 2 1
---------------+---------+-----------------------+-----------------------------------+------------------------------+------------
x.. ... ... | 2 0 0 | 6 * * * * * * * | 2 0 1 0 2 0 0 0 0 0 0 0 0 0 | 1 2 0 2 1 0 2 0 0 0 0 0 0 | 1 1 2 1 0 0
... x.. ... | 2 0 0 | * 12 * * * * * * | 1 1 0 1 0 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 1 0 1 0 0 0 0 0 | 1 1 1 0 1 0
oo.3oo.3oo.&#x | 1 1 0 | * * 12 * * * * * | 0 0 1 2 0 0 0 2 0 0 0 0 0 0 | 0 2 1 0 0 0 2 2 1 0 0 0 0 | 1 0 2 1 1 0
o.o3o.o3o.o&#x | 1 0 1 | * * * 24 * * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
... .x. ... | 0 2 0 | * * * * 12 * * * | 0 0 0 1 0 0 0 0 1 1 1 0 0 0 | 0 1 1 0 0 0 0 1 0 1 1 1 0 | 1 0 1 0 1 1
.oo3.oo3.oo&#x | 0 1 1 | * * * * * 12 * * | 0 0 0 0 0 0 0 2 0 0 2 1 0 0 | 0 0 0 0 0 0 1 2 2 0 1 2 0 | 0 0 1 1 2 1
... ..x ... | 0 0 2 | * * * * * * 12 * | 0 0 0 0 0 1 0 0 0 0 1 0 1 1 | 0 0 0 1 0 1 0 1 0 0 1 1 1 | 0 1 1 0 1 1
... ... ..x | 0 0 2 | * * * * * * * 6 | 0 0 0 0 0 0 2 0 0 0 0 1 0 2 | 0 0 0 0 1 2 0 0 2 0 0 2 1 | 0 1 0 1 2 1
---------------+---------+-----------------------+-----------------------------------+------------------------------+------------
x..3x.. ... | 6 0 0 | 3 3 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... x..3o.. | 3 0 0 | 0 3 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
xo. ... ...&#x | 2 1 0 | 1 0 2 0 0 0 0 0 | * * 6 * * * * * * * * * * * | 0 2 0 0 0 0 2 0 0 0 0 0 0 | 1 0 2 1 0 0
... xx. ...&#x | 2 2 0 | 0 1 2 0 1 0 0 0 | * * * 12 * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
x.o ... ...&#x | 2 0 1 | 1 0 0 2 0 0 0 0 | * * * * 12 * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 | 0 1 1 1 0 0
... x.x ...&#x | 2 0 2 | 0 1 0 2 0 0 1 0 | * * * * * 12 * * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 1 0 1 0
... ... o.x&#x | 1 0 2 | 0 0 0 2 0 0 0 1 | * * * * * * 12 * * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 0 | 0 1 0 1 1 0
ooo3ooo3ooo&#x | 1 1 1 | 0 0 1 1 0 1 0 0 | * * * * * * * 24 * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 1 1 1 0
.o.3.x. ... | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * * 4 * * * * * | 0 1 0 0 0 0 0 0 0 1 1 0 0 | 1 0 1 0 0 1
... .x.3.o. | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * * * 4 * * * * | 0 0 1 0 0 0 0 0 0 1 0 1 0 | 1 0 0 0 1 1
... .xx ...&#x | 0 2 2 | 0 0 0 0 1 2 1 0 | * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 1 0 1 1
... ... .ox&#x | 0 1 2 | 0 0 0 0 0 2 0 1 | * * * * * * * * * * * 6 * * | 0 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 1 2 1
..o3..x ... | 0 0 3 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * 4 * | 0 0 0 1 0 0 0 0 0 0 1 0 1 | 0 1 1 0 0 1
... ..x3..x | 0 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * 4 | 0 0 0 0 0 1 0 0 0 0 0 1 1 | 0 1 0 0 1 1
---------------+---------+-----------------------+-----------------------------------+------------------------------+------------
x..3x..3o.. ♦ 12 0 0 | 6 12 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 1 1 0 0 0 0
xo.3xx. ...&#x ♦ 6 3 0 | 3 3 6 0 3 0 0 0 | 1 0 3 3 0 0 0 0 1 0 0 0 0 0 | * 4 * * * * * * * * * * * | 1 0 1 0 0 0
... xx.3oo.&#x ♦ 3 3 0 | 0 3 3 0 3 0 0 0 | 0 1 0 3 0 0 0 0 0 1 0 0 0 0 | * * 4 * * * * * * * * * * | 1 0 0 0 1 0
x.o3x.x ...&#x ♦ 6 0 3 | 3 3 0 6 0 0 3 0 | 1 0 0 0 3 3 0 0 0 0 0 0 1 0 | * * * 4 * * * * * * * * * | 0 1 1 0 0 0
x.o ... o.x&#x ♦ 2 0 2 | 1 0 0 4 0 0 0 1 | 0 0 0 0 2 0 2 0 0 0 0 0 0 0 | * * * * 6 * * * * * * * * | 0 1 0 1 0 0
... x.x3o.x&#x ♦ 3 0 6 | 0 3 0 6 0 0 3 3 | 0 1 0 0 0 3 3 0 0 0 0 0 0 1 | * * * * * 4 * * * * * * * | 0 1 0 0 1 0
xoo ... ...&#x ♦ 2 1 1 | 1 0 2 2 0 1 0 0 | 0 0 1 0 1 0 0 2 0 0 0 0 0 0 | * * * * * * 12 * * * * * * | 0 0 1 1 0 0
... xxx ...&#x ♦ 2 2 2 | 0 1 2 2 1 2 1 0 | 0 0 0 1 0 1 0 2 0 0 1 0 0 0 | * * * * * * * 12 * * * * * | 0 0 1 0 1 0
... ... oox&#x ♦ 1 1 2 | 0 0 1 2 0 2 0 1 | 0 0 0 0 0 0 1 2 0 0 0 1 0 0 | * * * * * * * * 12 * * * * | 0 0 0 1 1 0
.o.3.x.3.o. ♦ 0 6 0 | 0 0 0 0 12 0 0 0 | 0 0 0 0 0 0 0 0 4 4 0 0 0 0 | * * * * * * * * * 1 * * * | 1 0 0 0 0 1
.oo3.xx ...&#x ♦ 0 3 3 | 0 0 0 0 3 3 3 0 | 0 0 0 0 0 0 0 0 1 0 3 0 1 0 | * * * * * * * * * * 4 * * | 0 0 1 0 0 1
... .xx3.ox&#x ♦ 0 3 6 | 0 0 0 0 3 6 3 3 | 0 0 0 0 0 0 0 0 0 1 3 3 0 1 | * * * * * * * * * * * 4 * | 0 0 0 0 1 1
..o3..x3..x ♦ 0 0 12 | 0 0 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 1 | 0 1 0 0 0 1
---------------+---------+-----------------------+-----------------------------------+------------------------------+------------
xo.3xx.3oo.&#x ♦ 12 6 0 | 6 12 12 0 12 0 0 0 | 4 4 6 12 0 0 0 0 4 4 0 0 0 0 | 1 4 4 0 0 0 0 0 0 1 0 0 0 | 1 * * * * *
x.o3x.x3o.x&#x ♦ 12 0 12 | 6 12 0 24 0 0 12 6 | 4 4 0 0 12 12 12 0 0 0 0 0 4 4 | 1 0 0 4 6 4 0 0 0 0 0 0 1 | * 1 * * * *
xoo3xxx ...&#x ♦ 6 3 3 | 3 3 6 6 3 3 3 0 | 1 0 3 3 3 3 0 6 1 0 3 0 1 0 | 0 1 0 1 0 0 3 3 0 0 1 0 0 | * * 4 * * *
xoo ... oox&#x ♦ 2 1 2 | 1 0 2 4 0 2 0 1 | 0 0 1 0 2 0 2 4 0 0 0 1 0 0 | 0 0 0 0 1 0 2 0 2 0 0 0 0 | * * * 6 * *
... xxx3oox&#x ♦ 3 3 6 | 0 3 3 6 3 6 3 3 | 0 1 0 3 0 3 3 6 0 1 3 3 0 1 | 0 0 1 0 0 1 0 3 3 0 0 1 0 | * * * * 4 *
.oo3.xx3.ox&#x ♦ 0 6 12 | 0 0 0 0 12 12 12 6 | 0 0 0 0 0 0 0 0 4 4 12 6 4 4 | 0 0 0 0 0 0 0 0 0 1 4 4 1 | * * * * * 1
or o..3o..3o.. & | 24 * | 1 2 1 2 0 | 2 1 1 2 3 2 2 0 | 1 2 1 3 1 3 2 0 | 1 1 3 1 .o.3.o.3.o. | * 6 | 0 0 4 0 4 | 0 0 2 8 0 0 4 4 | 0 4 4 0 0 4 4 1 | 2 0 4 1 -----------------+------+----------------+----------------------+-------------------+-------- x.. ... ... & | 2 0 | 12 * * * * | 2 0 1 0 2 0 0 0 | 1 2 0 2 1 2 0 0 | 1 1 2 1 ... x.. ... & | 2 0 | * 24 * * * | 1 1 0 1 0 1 0 0 | 1 1 1 2 0 0 1 0 | 1 1 2 0 oo.3oo.3oo.&#x & | 1 1 | * * 24 * * | 0 0 1 2 0 0 2 0 | 0 2 1 0 0 3 2 0 | 1 0 3 1 o.o3o.o3o.o&#x | 2 0 | * * * 24 * | 0 0 0 0 2 1 1 0 | 0 0 0 2 1 2 1 0 | 0 1 2 1 ... .x. ... | 0 2 | * * * * 12 | 0 0 0 2 0 0 0 2 | 0 2 2 0 0 0 1 1 | 2 0 2 0 -----------------+------+----------------+----------------------+-------------------+-------- x..3x.. ... & | 6 0 | 3 3 0 0 0 | 8 * * * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 ... x..3o.. & | 3 0 | 0 3 0 0 0 | * 8 * * * * * * | 1 0 1 1 0 0 0 0 | 1 1 1 0 xo. ... ...&#x & | 2 1 | 1 0 2 0 0 | * * 12 * * * * * | 0 2 0 0 0 2 0 0 | 1 0 2 1 ... xx. ...&#x & | 2 2 | 0 1 2 0 1 | * * * 24 * * * * | 0 1 1 0 0 0 1 0 | 1 0 2 0 x.o ... ...&#x & | 3 0 | 1 0 0 2 0 | * * * * 24 * * * | 0 0 0 1 1 1 0 0 | 0 1 1 1 ... x.x ...&#x | 4 0 | 0 2 0 2 0 | * * * * * 12 * * | 0 0 0 2 0 0 1 0 | 0 1 2 0 ooo3ooo3ooo&#x | 2 1 | 0 0 2 1 0 | * * * * * * 24 * | 0 0 0 0 0 2 1 0 | 0 0 2 1 .o.3.x. ... & | 0 3 | 0 0 0 0 3 | * * * * * * * 8 | 0 1 1 0 0 0 0 1 | 2 0 1 0 -----------------+------+----------------+----------------------+-------------------+-------- x..3x..3o.. & ♦ 12 0 | 6 12 0 0 0 | 4 4 0 0 0 0 0 0 | 2 * * * * * * * | 1 1 0 0 xo.3xx. ...&#x & ♦ 6 3 | 3 3 6 0 3 | 1 0 3 3 0 0 0 1 | * 8 * * * * * * | 1 0 1 0 ... xx.3oo.&#x & ♦ 3 3 | 0 3 3 0 3 | 0 1 0 3 0 0 0 1 | * * 8 * * * * * | 1 0 1 0 x.o3x.x ...&#x & ♦ 9 0 | 3 6 0 6 0 | 1 1 0 0 3 3 0 0 | * * * 8 * * * * | 0 1 1 0 x.o ... o.x&#x ♦ 4 0 | 2 0 0 4 0 | 0 0 0 0 4 0 0 0 | * * * * 6 * * * | 0 1 0 1 xoo ... ...&#x & ♦ 3 1 | 1 0 3 2 0 | 0 0 1 0 1 0 2 0 | * * * * * 24 * * | 0 0 1 1 ... xxx ...&#x ♦ 4 2 | 0 2 4 2 1 | 0 0 0 2 0 1 2 0 | * * * * * * 12 * | 0 0 2 0 .o.3.x.3.o. ♦ 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 0 8 | * * * * * * * 1 | 2 0 0 0 -----------------+------+----------------+----------------------+-------------------+-------- xo.3xx.3oo.&#x & ♦ 12 6 | 6 12 12 0 12 | 4 4 6 12 0 0 0 8 | 1 4 4 0 0 0 0 1 | 2 * * * x.o3x.x3o.x&#x ♦ 24 0 | 12 24 0 24 0 | 8 8 0 0 24 12 0 0 | 1 0 0 8 6 0 0 0 | * 1 * * xoo3xxx ...&#x & ♦ 9 3 | 3 6 9 6 3 | 1 1 3 6 3 3 6 1 | 0 1 1 1 0 3 3 0 | * * 8 * xoo ... oox&#x ♦ 4 1 | 2 0 4 4 0 | 0 0 2 0 4 0 4 0 | 0 0 0 0 1 4 0 0 | * * * 6
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