Acronym | rapatut (alt.: tetoct tuttric) |
Name |
rap atop tut, (tet,oct,tut)-trigonic |
Circumradius | sqrt(17/12) = 1.190238 |
Lace city in approx. ASCII-art |
O t T where: t = x3o3o (tet) O = o3x3o (oct) T = x3x3o (tut) |
Face vector | 22, 72, 86, 45, 11 |
Confer |
|
This polyteron occurs as a wedge within spix.
Incidence matrix according to Dynkin symbol
ooo3oxx3xox&#x → height(1,2) = height(2,3) = sqrt(5/8) = 0.790569
height(1,3) = 1/sqrt(2) = 0.707107
height(12,3) = sqrt(3/5) = 0.774597
(rap || tut)
o..3o..3o.. | 4 * * | 3 3 3 0 0 0 0 | 3 3 3 3 3 3 0 0 0 0 0 0 | 1 1 3 3 3 1 3 0 0 0 0 | 1 1 3 1 0
.o.3.o.3.o. | * 6 * | 0 2 0 4 2 0 0 | 0 4 1 2 0 0 2 2 4 1 0 0 | 0 2 2 4 1 0 0 1 2 2 0 | 1 2 2 0 1
..o3..o3..o | * * 12 | 0 0 1 0 1 2 1 | 0 0 0 1 2 1 0 0 2 1 1 2 | 0 0 0 2 1 1 2 0 1 2 1 | 0 1 2 1 1
---------------+--------+--------------------+-----------------------------+------------------------+----------
... ... x.. | 2 0 0 | 6 * * * * * * | 2 0 1 0 0 1 0 0 0 0 0 0 | 1 0 2 0 1 0 2 0 0 0 0 | 1 0 2 1 0
oo.3oo.3oo.&#x | 1 1 0 | * 12 * * * * * | 0 2 1 1 0 0 0 0 0 0 0 0 | 0 1 2 2 1 0 0 0 0 0 0 | 1 1 2 0 0
o.o3o.o3o.o&#x | 1 0 1 | * * 12 * * * * | 0 0 0 1 2 1 0 0 0 0 0 0 | 0 0 0 2 1 1 2 0 0 0 0 | 0 1 2 1 0
... .x. ... | 0 2 0 | * * * 12 * * * | 0 1 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.oo3.oo3.oo&#x | 0 1 1 | * * * * 12 * * | 0 0 0 1 0 0 0 0 2 1 0 0 | 0 0 0 2 1 0 0 0 1 2 0 | 0 1 2 0 1
... ..x ... | 0 0 2 | * * * * * 12 * | 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
... ... ..x | 0 0 2 | * * * * * * 6 | 0 0 0 0 0 1 0 0 0 1 0 2 | 0 0 0 0 1 0 2 0 0 2 1 | 0 0 2 1 1
---------------+--------+--------------------+-----------------------------+------------------------+----------
... o..3x.. | 3 0 0 | 3 0 0 0 0 0 0 | 4 * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 | 1 0 1 1 0
... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 0 | * 12 * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
... ... xo.&#x | 2 1 0 | 1 2 0 0 0 0 0 | * * 6 * * * * * * * * * | 0 0 2 0 1 0 0 0 0 0 0 | 1 0 2 0 0
ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 0 | * * * 12 * * * * * * * * | 0 0 0 2 1 0 0 0 0 0 0 | 0 1 2 0 0
... o.x ...&#x | 1 0 2 | 0 0 2 0 0 1 0 | * * * * 12 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 1 | * * * * * 6 * * * * * * | 0 0 0 0 1 0 2 0 0 0 0 | 0 0 2 1 0
.o.3.x. ... | 0 3 0 | 0 0 0 3 0 0 0 | * * * * * * 4 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 0 | * * * * * * * 4 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
... .xx ...&#x | 0 2 2 | 0 0 0 1 2 1 0 | * * * * * * * * 12 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
... ... .ox&#x | 0 1 2 | 0 0 0 0 2 0 1 | * * * * * * * * * 6 * * | 0 0 0 0 1 0 0 0 0 2 0 | 0 0 2 0 1
..o3..x ... | 0 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 4 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
... ..x3..x | 0 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+--------+--------------------+-----------------------------+------------------------+----------
o..3o..3x.. ♦ 4 0 0 | 6 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 0 0 1 0
oo.3ox. ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 0 | 0 3 0 0 0 0 1 0 0 0 0 0 | * 4 * * * * * * * * * | 1 1 0 0 0
... ox.3xo.&#x ♦ 3 3 0 | 3 6 0 3 0 0 0 | 1 3 3 0 0 0 0 1 0 0 0 0 | * * 4 * * * * * * * * | 1 0 1 0 0
... oxx ...&#x ♦ 1 2 2 | 0 2 2 1 2 1 0 | 0 1 0 2 1 0 0 0 1 0 0 0 | * * * 12 * * * * * * * | 0 1 1 0 0
... ... xox&#x ♦ 2 1 2 | 1 2 2 0 2 0 1 | 0 0 1 2 0 1 0 0 0 1 0 0 | * * * * 6 * * * * * * | 0 0 2 0 0
o.o3o.x ...&#x ♦ 1 0 3 | 0 0 3 0 0 3 0 | 0 0 0 0 3 0 0 0 0 0 1 0 | * * * * * 4 * * * * * | 0 1 0 1 0
... o.x3x.x&#x ♦ 3 0 6 | 3 0 6 0 0 3 3 | 1 0 0 0 3 3 0 0 0 0 0 1 | * * * * * * 4 * * * * | 0 0 1 1 0
.o.3.x.3.o. ♦ 0 6 0 | 0 0 0 12 0 0 0 | 0 0 0 0 0 0 4 4 0 0 0 0 | * * * * * * * 1 * * * | 1 0 0 0 1
.oo3.xx ...&#x ♦ 0 3 3 | 0 0 0 3 3 3 0 | 0 0 0 0 0 0 1 0 3 0 1 0 | * * * * * * * * 4 * * | 0 1 0 0 1
... .xx3.ox&#x ♦ 0 3 6 | 0 0 0 3 6 3 3 | 0 0 0 0 0 0 0 1 3 3 0 1 | * * * * * * * * * 4 * | 0 0 1 0 1
..o3..x3..x ♦ 0 0 12 | 0 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * 1 | 0 0 0 1 1
---------------+--------+--------------------+-----------------------------+------------------------+----------
oo.3ox.3xo.&#x ♦ 4 6 0 | 6 12 0 12 0 0 0 | 4 12 6 0 0 0 4 4 0 0 0 0 | 1 4 4 0 0 0 0 1 0 0 0 | 1 * * * *
ooo3oxx ...&#x ♦ 1 3 3 | 0 3 3 3 3 3 0 | 0 3 0 3 3 0 1 0 3 0 1 0 | 0 1 0 3 0 1 0 0 1 0 0 | * 4 * * *
... oxx3xox&#x ♦ 3 3 6 | 3 6 6 3 6 3 3 | 1 3 3 6 3 3 0 1 3 3 0 1 | 0 0 1 3 3 0 1 0 0 1 0 | * * 4 * *
o.o3o.x3x.x&#x ♦ 4 0 12 | 6 0 12 0 0 12 6 | 4 0 0 0 12 6 0 0 0 0 4 4 | 1 0 0 0 0 4 4 0 0 0 1 | * * * 1 *
.oo3.xx3.ox&#x ♦ 0 6 12 | 0 0 0 12 12 12 6 | 0 0 0 0 0 0 4 4 12 6 4 4 | 0 0 0 0 0 0 0 1 4 4 1 | * * * * 1
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