Acronym | triddippa tridafup |
Name |
triddip atop tridafup, ((3,3)-dip, (3,dual 3)-dip, (dual 3,3)-dip)-trigonic |
Circumradius | sqrt(6/7) = 0.925820 |
Lace city in approx. ASCII-art |
o3x x3o -- triddip x3o x3o o3x o3x -- tridafup |
Face vector | 27, 126, 225, 192, 81, 15 |
Confer |
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Incidence matrix according to Dynkin symbol
xox3oxo xxo3oox&#x → height(1,2) = height(1,3) = sqrt(2/3) = 0.816497
height(2,3) = 1/sqrt(3) = 0.577350
(triddip || tridafup)
o..3o.. o..3o.. | 9 * | 4 4 0 0 0 | 2 4 4 2 8 4 0 0 0 0 0 | 4 2 8 4 4 8 4 0 0 0 0 0 0 | 1 4 4 2 4 4 4 1 0 0 0 | 2 4 2 0
.o.3.o. .o.3.o. & | * 18 | 0 2 2 2 4 | 0 0 1 2 4 4 1 4 1 6 6 | 0 1 2 4 2 6 6 2 2 4 2 5 2 | 0 2 1 2 4 2 5 2 1 3 3 | 1 3 3 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x.. ... ... ... & | 2 0 | 18 * * * * | 1 2 1 0 2 0 0 0 0 0 0 | 3 1 4 1 2 2 0 0 0 0 0 0 0 | 1 3 3 1 3 2 1 0 0 0 0 | 2 3 1 0
oo.3oo. oo.3oo.&#x & | 1 1 | * 36 * * * | 0 0 1 1 2 2 0 0 0 0 0 | 0 1 2 2 1 4 3 0 0 0 0 0 0 | 0 2 1 1 3 2 3 1 0 0 0 | 1 3 2 0
... .x. ... ... & | 0 2 | * * 18 * * | 0 0 0 1 0 0 1 2 0 0 2 | 0 1 0 2 0 0 2 2 1 2 0 2 1 | 0 2 0 1 2 0 2 1 1 2 2 | 1 2 2 1
... ... .x. ... & | 0 2 | * * * 18 * | 0 0 0 0 2 0 0 2 1 2 0 | 0 0 1 2 2 2 0 1 2 2 1 2 0 | 0 1 1 2 2 1 2 0 1 2 2 | 1 2 2 1
.oo3.oo .oo3.oo&#x | 0 2 | * * * * 36 | 0 0 0 0 0 1 0 0 0 2 2 | 0 0 0 0 0 2 2 0 0 2 1 2 1 | 0 0 0 0 2 1 2 1 0 2 2 | 0 2 2 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x..3o.. ... ... & | 3 0 | 3 0 0 0 0 | 6 * * * * * * * * * * | 2 1 0 0 2 0 0 0 0 0 0 0 0 | 1 2 2 1 2 0 0 0 0 0 0 | 2 2 1 0
x.. ... x.. ... | 4 0 | 4 0 0 0 0 | * 9 * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 0 1 0 0 0 0 0 | 2 2 0 0
xo. ... ... ...&#x & | 2 1 | 1 2 0 0 0 | * * 18 * * * * * * * * | 0 1 2 0 0 2 0 0 0 0 0 0 0 | 0 2 1 0 2 2 1 0 0 0 0 | 1 3 1 0
... ox. ... ...&#x & | 1 2 | 0 2 1 0 0 | * * * 18 * * * * * * * | 0 1 0 2 0 0 2 0 0 0 0 0 0 | 0 2 0 1 2 0 2 1 0 0 0 | 1 2 2 0
... ... xx. ...&#x & | 2 2 | 1 2 0 1 0 | * * * * 36 * * * * * * | 0 0 1 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 2 1 0
ooo3ooo ooo3ooo&#x | 1 2 | 0 2 0 0 1 | * * * * * 36 * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 0 | 0 0 0 0 2 1 2 1 0 0 0 | 0 2 2 0
.o.3.x. ... ... & | 0 3 | 0 0 3 0 0 | * * * * * * 6 * * * * | 0 1 0 0 0 0 0 2 0 2 0 0 0 | 0 2 0 0 2 0 0 0 1 2 1 | 1 2 1 1
... .x. .x. ... & | 0 4 | 0 0 2 2 0 | * * * * * * * 18 * * * | 0 0 0 1 0 0 0 1 1 0 0 1 0 | 0 1 0 1 0 0 1 0 1 1 1 | 1 1 1 1
... ... .x.3.o. & | 0 3 | 0 0 0 3 0 | * * * * * * * * 6 * * | 0 0 0 0 2 0 0 0 2 2 0 0 0 | 0 0 1 2 2 0 0 0 1 1 2 | 1 1 2 1
.ox ... ... ...&#x & | 0 3 | 0 0 0 1 2 | * * * * * * * * * 36 * | 0 0 0 0 0 1 0 0 0 1 1 1 0 | 0 0 0 0 1 1 1 0 0 2 1 | 0 2 1 1
... .xo ... ...&#x & | 0 3 | 0 0 1 0 2 | * * * * * * * * * * 36 | 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 1 0 1 1 0 1 2 | 0 1 2 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x..3o.. x.. ... & ♦ 6 0 | 9 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 | 6 * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 | 2 1 0 0
xo.3ox. ... ...&#x & ♦ 3 3 | 3 6 3 0 0 | 1 0 3 3 0 0 1 0 0 0 0 | * 6 * * * * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 | 1 2 1 0
xo. ... xx. ...&#x & ♦ 4 2 | 4 4 0 1 0 | 0 1 2 0 2 0 0 0 0 0 0 | * * 18 * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 | 1 2 0 0
... ox. xx. ...&#x & ♦ 2 4 | 1 4 2 2 0 | 0 0 0 2 2 0 0 1 0 0 0 | * * * 18 * * * * * * * * * | 0 1 0 1 0 0 1 0 0 0 0 | 1 1 1 0
... ... xx.3oo.&#x & ♦ 3 3 | 3 3 0 3 0 | 1 0 0 0 3 0 0 0 1 0 0 | * * * * 12 * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0
xox ... ... ...&#x & ♦ 2 3 | 1 4 0 1 2 | 0 0 1 0 1 2 0 0 0 1 0 | * * * * * 36 * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 | 0 2 1 0
... oxo ... ...&#x & ♦ 1 3 | 0 3 1 0 2 | 0 0 0 1 0 2 0 0 0 0 1 | * * * * * * 36 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 | 0 1 2 0
.o.3.x. .x. ... & ♦ 0 6 | 0 0 6 3 0 | 0 0 0 0 0 0 2 3 0 0 0 | * * * * * * * 6 * * * * * | 0 1 0 0 0 0 0 0 1 1 0 | 1 1 0 1
... .x. .x.3.o. & ♦ 0 6 | 0 0 3 6 0 | 0 0 0 0 0 0 0 3 2 0 0 | * * * * * * * * 6 * * * * | 0 0 0 1 0 0 0 0 1 0 1 | 1 0 1 1
.ox3.xo ... ...&#x & ♦ 0 6 | 0 0 3 3 6 | 0 0 0 0 0 0 1 0 1 3 3 | * * * * * * * * * 12 * * * | 0 0 0 0 1 0 0 0 0 1 1 | 0 1 1 1
.ox ... .xo ...&#x ♦ 0 4 | 0 0 0 2 4 | 0 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * 9 * * | 0 0 0 0 0 1 0 0 0 2 0 | 0 2 0 1
.ox ... ... .ox&#x & ♦ 0 5 | 0 0 2 2 4 | 0 0 0 0 0 0 0 1 0 2 2 | * * * * * * * * * * * 18 * | 0 0 0 0 0 0 1 0 0 1 1 | 0 1 1 1
... .xo ... .ox&#x ♦ 0 4 | 0 0 2 0 4 | 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * 9 | 0 0 0 0 0 0 0 1 0 0 2 | 0 0 2 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x..3o.. x..3o.. ♦ 9 0 | 18 0 0 0 0 | 6 9 0 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 2 0 0 0
xo.3ox. xx. ...&#x & ♦ 6 6 | 9 12 6 3 0 | 2 3 6 6 6 0 2 3 0 0 0 | 1 2 3 3 0 0 0 1 0 0 0 0 0 | * 6 * * * * * * * * * | 1 1 0 0
xo. ... xx.3oo.&#x & ♦ 6 3 | 9 6 0 3 0 | 2 3 3 0 6 0 0 0 1 0 0 | 1 0 3 0 2 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * | 1 1 0 0
... ox. xx.3oo.&#x & ♦ 3 6 | 3 6 3 6 0 | 1 0 0 3 6 0 0 3 2 0 0 | 0 0 0 3 2 0 0 0 1 0 0 0 0 | * * * 6 * * * * * * * | 1 0 1 0
xox3oxo ... ...&#x & ♦ 3 6 | 3 9 3 3 6 | 1 0 3 3 3 6 1 0 1 3 3 | 0 1 0 0 1 3 3 0 0 1 0 0 0 | * * * * 12 * * * * * * | 0 1 1 0
xox ... xxo ...&#x ♦ 4 4 | 4 8 0 2 4 | 0 1 4 0 4 4 0 0 0 4 0 | 0 0 2 0 0 4 0 0 0 0 1 0 0 | * * * * * 9 * * * * * | 0 2 0 0
xox ... ... oox&#x & ♦ 2 5 | 1 6 2 2 4 | 0 0 1 2 2 4 0 1 0 2 2 | 0 0 0 1 0 2 2 0 0 0 0 1 0 | * * * * * * 18 * * * * | 0 1 1 0
... oxo ... oox&#x ♦ 1 4 | 0 4 2 0 4 | 0 0 0 2 0 4 0 0 0 0 4 | 0 0 0 0 0 0 4 0 0 0 0 0 1 | * * * * * * * 9 * * * | 0 0 2 0
.o.3.x. .x.3.o. & ♦ 0 9 | 0 0 9 9 0 | 0 0 0 0 0 0 3 9 3 0 0 | 0 0 0 0 0 0 0 3 3 0 0 0 0 | * * * * * * * * 2 * * | 1 0 0 1
.ox3.xo .xo ...&#x & ♦ 0 9 | 0 0 6 6 12 | 0 0 0 0 0 0 2 3 1 12 6 | 0 0 0 0 0 0 0 1 0 2 3 3 0 | * * * * * * * * * 6 * | 0 1 0 1
.ox3.xo ... .ox&#x & ♦ 0 9 | 0 0 6 6 12 | 0 0 0 0 0 0 1 3 2 6 12 | 0 0 0 0 0 0 0 0 1 2 0 3 3 | * * * * * * * * * * 6 | 0 0 1 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
xo.3ox. xx.3oo.&#x & ♦ 9 9 | 18 18 9 9 0 | 6 9 9 9 18 0 3 9 3 0 0 | 6 3 9 9 6 0 0 3 3 0 0 0 0 | 1 3 3 3 0 0 0 0 1 0 0 | 2 * * *
xox3oxo xxo ...&#x & ♦ 6 9 | 9 18 6 6 12 | 2 3 9 6 12 12 2 3 1 12 6 | 1 2 6 3 2 12 6 1 0 2 3 3 0 | 0 1 1 0 2 3 3 0 0 1 0 | * 6 * *
xox3oxo ... oox&#x & ♦ 3 9 | 3 12 6 6 12 | 1 0 3 6 6 12 1 3 2 6 12 | 0 1 0 3 2 6 12 0 1 2 0 3 3 | 0 0 0 1 2 0 3 3 0 0 1 | * * 6 *
.ox3.xo .xo3.ox&#x ♦ 0 18 | 0 0 18 18 36 | 0 0 0 0 0 0 6 18 6 36 36 | 0 0 0 0 0 0 0 6 6 12 9 18 9 | 0 0 0 0 0 0 0 0 2 6 6 | * * * 1
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