| Acronym | tutcupa toe (alt.: tutaltut toetric) |
| Name |
tuta atop toe, (tut,inv tut,toe)-trigonic |
| Circumradius | sqrt(21/8) = 1.620185 |
|
Lace city in approx. ASCII-art |
x3x3o
o3x3x x3x3x
|
| Face vector | 48, 144, 162, 81, 17 |
| Confer |
|
This polyteron occurs as wedge within sirhin. In fact it is a segment of deca aprip, which in turn is a segment of sirhin.
Incidence matrix according to Dynkin symbol
oxx3xxx3xox&#x → height(1,2) = 1/sqrt(2) = 0.707107
height(1,3) = height(2,3) = sqrt(5/8) = 0.790569
o..3o..3o.. | 12 * * | 2 1 2 2 0 0 0 0 0 0 | 1 2 1 2 2 2 1 2 2 0 0 0 0 0 0 0 0 | 1 1 1 2 1 2 2 1 1 2 0 0 0 0 0 | 1 1 1 2 1 0
.o.3.o.3.o. | * 12 * | 0 0 2 0 1 2 2 0 0 0 | 0 0 2 2 1 2 0 0 0 2 1 2 2 1 0 0 0 | 0 2 1 1 2 2 1 0 0 0 1 2 1 1 0 | 1 2 1 1 0 1
..o3..o3..o | * * 24 | 0 0 0 1 0 0 1 1 1 1 | 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------------+----------+-----------------------------+---------------------------------------------+----------------------------------+------------
... x.. ... | 2 0 0 | 12 * * * * * * * * * | 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0
... ... x.. | 2 0 0 | * 6 * * * * * * * * | 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 | 1 0 1 2 0 0 2 0 1 2 0 0 0 0 0 | 1 0 1 2 1 0
oo.3oo.3oo.&#x | 1 1 0 | * * 24 * * * * * * * | 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
o.o3o.o3o.o&#x | 1 0 1 | * * * 24 * * * * * * | 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.x. ... ... | 0 2 0 | * * * * 6 * * * * * | 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 | 0 2 1 0 2 0 0 0 0 0 1 2 1 0 0 | 1 2 1 0 0 1
... .x. ... | 0 2 0 | * * * * * 12 * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
.oo3.oo3.oo&#x | 0 1 1 | * * * * * * 24 * * * | 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x ... ... | 0 0 2 | * * * * * * * 12 * * | 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
... ..x ... | 0 0 2 | * * * * * * * * 12 * | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 | 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
... ... ..x | 0 0 2 | * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------------+----------+-----------------------------+---------------------------------------------+----------------------------------+------------
o..3x.. ... | 3 0 0 | 3 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
... x..3x.. | 6 0 0 | 3 3 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
ox. ... ...&#x | 1 2 0 | 0 0 2 0 1 0 0 0 0 0 | * * 12 * * * * * * * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... xx. ...&#x | 2 2 0 | 1 0 2 0 0 1 0 0 0 0 | * * * 12 * * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
... ... xo.&#x | 2 1 0 | 0 1 2 0 0 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * * | 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo3ooo3ooo&#x | 1 1 1 | 0 0 1 1 0 0 1 0 0 0 | * * * * * 24 * * * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x ... ...&#x | 1 0 2 | 0 0 0 2 0 0 0 1 0 0 | * * * * * * 12 * * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... x.x ...&#x | 2 0 2 | 1 0 0 2 0 0 0 0 1 0 | * * * * * * * 12 * * * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
... ... x.x&#x | 2 0 2 | 0 1 0 2 0 0 0 0 0 1 | * * * * * * * * 12 * * * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x.3.x. ... | 0 6 0 | 0 0 0 0 3 3 0 0 0 0 | * * * * * * * * * 4 * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
... .x.3.o. | 0 3 0 | 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * * 4 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.xx ... ...&#x | 0 2 2 | 0 0 0 0 1 0 2 1 0 0 | * * * * * * * * * * * 12 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
... .xx ...&#x | 0 2 2 | 0 0 0 0 0 1 2 0 1 0 | * * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
... ... .ox&#x | 0 1 2 | 0 0 0 0 0 0 2 0 0 1 | * * * * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x3..x ... | 0 0 6 | 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
... ..x3..x | 0 0 6 | 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------------+----------+-----------------------------+---------------------------------------------+----------------------------------+------------
o..3x..3x.. ♦ 12 0 0 | 12 6 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 0 1 0
ox.3xx. ...&#x ♦ 3 6 0 | 3 0 6 0 3 3 0 0 0 0 | 1 0 3 3 0 0 0 0 0 1 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * | 1 1 0 0 0 0
ox. ... xo.&#x ♦ 2 2 0 | 0 1 4 0 1 0 0 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * | 1 0 1 0 0 0
... xx.3xo.&#x ♦ 6 3 0 | 3 3 6 0 0 3 0 0 0 0 | 0 1 0 3 3 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * * | 1 0 0 1 0 0
oxx ... ...&#x ♦ 1 2 2 | 0 0 2 2 1 0 2 1 0 0 | 0 0 1 0 0 2 1 0 0 0 0 1 0 0 0 0 0 | * * * * 12 * * * * * * * * * * | 0 1 1 0 0 0
... xxx ...&#x ♦ 2 2 2 | 1 0 2 2 0 1 2 0 1 0 | 0 0 0 1 0 2 0 1 0 0 0 0 1 0 0 0 0 | * * * * * 12 * * * * * * * * * | 0 1 0 1 0 0
... ... xox&#x ♦ 2 1 2 | 0 1 2 2 0 0 2 0 0 1 | 0 0 0 0 1 2 0 0 1 0 0 0 0 1 0 0 0 | * * * * * * 12 * * * * * * * * | 0 0 1 1 0 0
o.x3x.x ...&#x ♦ 3 0 6 | 3 0 0 6 0 0 0 3 3 0 | 1 0 0 0 0 0 3 3 0 0 0 0 0 0 1 0 0 | * * * * * * * 4 * * * * * * * | 0 1 0 0 1 0
o.x ... x.x&#x ♦ 2 0 4 | 0 1 0 4 0 0 0 2 0 2 | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 1 0 | * * * * * * * * 6 * * * * * * | 0 0 1 0 1 0
... x.x3x.x&#x ♦ 6 0 6 | 3 3 0 6 0 0 0 0 3 3 | 0 1 0 0 0 0 0 3 3 0 0 0 0 0 0 0 1 | * * * * * * * * * 4 * * * * * | 0 0 0 1 1 0
.x.3.x.3.o. ♦ 0 12 0 | 0 0 0 0 6 12 0 0 0 0 | 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx3.xx ...&#x ♦ 0 6 6 | 0 0 0 0 3 3 6 3 3 0 | 0 0 0 0 0 0 0 0 0 1 0 3 3 0 1 0 0 | * * * * * * * * * * * 4 * * * | 0 1 0 0 0 1
.xx ... .ox&#x ♦ 0 2 4 | 0 0 0 0 1 0 4 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 | * * * * * * * * * * * * 6 * * | 0 0 1 0 0 1
... .xx3.ox&#x ♦ 0 3 6 | 0 0 0 0 0 3 6 0 3 3 | 0 0 0 0 0 0 0 0 0 0 1 0 3 3 0 0 1 | * * * * * * * * * * * * * 4 * | 0 0 0 1 0 1
..x3..x3..x ♦ 0 0 24 | 0 0 0 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------------+----------+-----------------------------+---------------------------------------------+----------------------------------+------------
ox.3xx.3xo.&#x ♦ 12 12 0 | 12 6 24 0 6 12 0 0 0 0 | 4 4 12 12 12 0 0 0 0 4 4 0 0 0 0 0 0 | 1 4 6 4 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
oxx3xxx ...&#x ♦ 3 6 6 | 3 0 6 6 3 3 6 3 3 0 | 1 0 3 3 0 6 3 3 0 1 0 3 3 0 1 0 0 | 0 1 0 0 3 3 0 1 0 0 0 1 0 0 0 | * 4 * * * *
oxx ... xox&#x ♦ 2 2 4 | 0 1 4 4 1 0 4 2 0 2 | 0 0 2 0 2 4 2 0 2 0 0 2 0 2 0 1 0 | 0 0 1 0 2 0 2 0 1 0 0 0 1 0 0 | * * 6 * * *
... xxx3xox&#x ♦ 6 3 6 | 3 3 6 6 0 3 6 0 3 3 | 0 1 0 3 3 6 0 3 3 0 1 0 3 3 0 0 1 | 0 0 0 1 0 3 3 0 0 1 0 0 0 1 0 | * * * 4 * *
o.x3x.x3x.x&#x ♦ 12 0 24 | 12 6 0 24 0 0 0 12 12 12 | 4 4 0 0 0 0 12 12 12 0 0 0 0 0 4 6 4 | 1 0 0 0 0 0 0 4 6 4 0 0 0 0 1 | * * * * 1 *
.xx3.xx3.ox&#x ♦ 0 12 24 | 0 0 0 0 6 12 24 12 12 12 | 0 0 0 0 0 0 0 0 0 4 4 12 12 12 4 6 4 | 0 0 0 0 0 0 0 0 0 0 1 4 6 4 1 | * * * * * 1
or
(tuta || toe) → height(12,3) = 1/sqrt(2) = 0.707107
o..3o..3o.. & | 24 * | 2 1 2 2 0 0 | 1 2 3 2 2 1 2 2 0 0 | 1 3 1 3 2 1 1 2 0 | 1 3 1 1
..o3..o3..o | * 24 | 0 0 0 2 2 1 | 0 0 0 0 1 2 2 2 2 1 | 0 0 0 2 1 2 2 2 1 | 0 2 1 2
-----------------+-------+-------------------+---------------------------+----------------------+--------
... x.. ... & | 2 0 | 24 * * * * * | 1 1 0 1 0 0 1 0 0 0 | 1 2 0 0 1 1 0 1 0 | 1 2 0 1
... ... x.. & | 2 0 | * 12 * * * * | 0 2 2 0 0 0 0 2 0 0 | 1 2 1 2 0 0 1 2 0 | 1 2 1 1
oo.3oo.3oo.&#x | 2 0 | * * 24 * * * | 0 0 2 1 1 0 0 0 0 0 | 0 2 1 2 1 0 0 0 0 | 1 2 1 0
o.o3o.o3o.o&#x & | 1 1 | * * * 48 * * | 0 0 0 0 1 1 1 1 0 0 | 0 0 0 2 1 1 1 1 0 | 0 2 1 1
..x ... ... & | 0 2 | * * * * 24 * | 0 0 0 0 0 1 0 1 1 1 | 0 0 0 1 0 1 2 1 1 | 0 1 1 2
... ..x ... | 0 2 | * * * * * 12 | 0 0 0 0 0 0 2 0 2 0 | 0 0 0 0 1 2 0 2 1 | 0 2 0 2
-----------------+-------+-------------------+---------------------------+----------------------+--------
o..3x.. ... & | 3 0 | 3 0 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0 1 0 0 0 | 1 1 0 1
... x..3x.. & | 6 0 | 3 3 0 0 0 0 | * 8 * * * * * * * * | 1 1 0 0 0 0 0 1 0 | 1 1 0 1
ox. ... ...&#x & | 3 0 | 0 1 2 0 0 0 | * * 24 * * * * * * * | 0 1 1 1 0 0 0 0 0 | 1 1 1 0
... xx. ...&#x | 4 0 | 2 0 2 0 0 0 | * * * 12 * * * * * * | 0 2 0 0 1 0 0 0 0 | 1 2 0 0
ooo3ooo3ooo&#x | 2 1 | 0 0 1 2 0 0 | * * * * 24 * * * * * | 0 0 0 2 1 0 0 0 0 | 0 2 1 0
o.x ... ...&#x & | 1 2 | 0 0 0 2 1 0 | * * * * * 24 * * * * | 0 0 0 1 0 1 1 0 0 | 0 1 1 1
... x.x ...&#x & | 2 2 | 1 0 0 2 0 1 | * * * * * * 24 * * * | 0 0 0 0 1 1 0 1 0 | 0 2 0 1
... ... x.x&#x & | 2 2 | 0 1 0 2 1 0 | * * * * * * * 24 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 1
..x3..x ... & | 0 6 | 0 0 0 0 3 3 | * * * * * * * * 8 * | 0 0 0 0 0 1 0 1 1 | 0 1 0 2
..x ... ..x | 0 4 | 0 0 0 0 4 0 | * * * * * * * * * 6 | 0 0 0 0 0 0 2 0 1 | 0 0 1 2
-----------------+-------+-------------------+---------------------------+----------------------+--------
o..3x..3x.. & ♦ 12 0 | 12 6 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 | 2 * * * * * * * * | 1 0 0 1
ox.3xx. ...&#x & ♦ 9 0 | 6 3 6 0 0 0 | 1 1 3 3 0 0 0 0 0 0 | * 8 * * * * * * * | 1 1 0 0
ox. ... xo.&#x ♦ 4 0 | 0 2 4 0 0 0 | 0 0 4 0 0 0 0 0 0 0 | * * 6 * * * * * * | 1 0 1 0
oxx ... ...&#x & ♦ 3 2 | 0 1 2 4 1 0 | 0 0 1 0 2 1 0 1 0 0 | * * * 24 * * * * * | 0 1 1 0
... xxx ...&#x ♦ 4 2 | 2 0 2 4 0 1 | 0 0 0 1 2 0 2 0 0 0 | * * * * 12 * * * * | 0 2 0 0
o.x3x.x ...&#x & ♦ 3 6 | 3 0 0 6 3 3 | 1 0 0 0 0 3 3 0 1 0 | * * * * * 8 * * * | 0 1 0 1
o.x ... x.x&#x & ♦ 2 4 | 0 1 0 4 4 0 | 0 0 0 0 0 2 0 2 0 1 | * * * * * * 12 * * | 0 0 1 1
... x.x3x.x&#x & ♦ 6 6 | 3 3 0 6 3 3 | 0 1 0 0 0 0 3 3 1 0 | * * * * * * * 8 * | 0 1 0 1
..x3..x3..x ♦ 0 24 | 0 0 0 0 24 12 | 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * 1 | 0 0 0 2
-----------------+-------+-------------------+---------------------------+----------------------+--------
ox.3xx.3xo.&#x ♦ 24 0 | 24 12 24 0 0 0 | 8 8 24 12 0 0 0 0 0 0 | 2 8 6 0 0 0 0 0 0 | 1 * * *
oxx3xxx ...&#x & ♦ 9 6 | 6 3 6 12 3 3 | 1 1 3 3 6 3 6 3 1 0 | 0 1 0 3 3 1 0 1 0 | * 8 * *
oxx ... xox&#x ♦ 4 4 | 0 2 4 8 4 0 | 0 0 4 0 4 4 0 4 0 1 | 0 0 1 4 0 0 2 0 0 | * * 6 *
o.x3x.x3x.x&#x & ♦ 12 24 | 12 6 0 24 24 12 | 4 4 0 0 0 12 12 12 8 6 | 1 0 0 0 0 4 6 4 1 | * * * 2
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