Acronym | octatepe (alt.: tettet octtric) |
Name |
oct atop tepe, diminished rix, (tet,tet,oct)-trigonic |
Circumradius | sqrt(2/3) = 0.816497 |
Lace city in approx. ASCII-art |
o where: o = o3x3o (oct) t t t = x3o3o (tet) |
Coordinates | coordinates are centered to the bottom base |
Face vector | 14, 52, 70, 41, 11 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox ox3xo3oo&#x → height = sqrt(3/8) = 0.612372
(oct || tepe)
o. o.3o.3o. | 6 * ♦ 4 4 0 0 | 2 2 2 2 8 0 0 | 1 1 4 4 4 0 0 | 2 2 2 0
.o .o3.o3.o | * 8 | 0 3 1 3 | 0 0 3 3 3 3 3 | 0 3 3 3 1 3 1 | 3 1 1 1
---------------+-----+------------+------------------+----------------+--------
.. .. x. .. | 2 0 | 12 * * * | 1 1 0 0 2 0 0 | 1 0 1 2 2 0 0 | 1 1 2 0
oo oo3oo3oo&#x | 1 1 | * 24 * * | 0 0 1 1 2 0 0 | 0 1 2 2 1 0 0 | 2 1 1 0
.x .. .. .. | 0 2 | * * 4 * | 0 0 3 0 0 3 0 | 0 3 3 0 0 3 0 | 3 1 0 1
.. .x .. .. | 0 2 | * * * 12 | 0 0 0 1 0 1 2 | 0 1 0 2 0 2 1 | 2 0 1 1
---------------+-----+------------+------------------+----------------+--------
.. o.3x. .. | 3 0 | 3 0 0 0 | 4 * * * * * * | 1 0 0 2 0 0 0 | 1 0 2 0
.. .. x.3o. | 3 0 | 3 0 0 0 | * 4 * * * * * | 1 0 0 0 2 0 0 | 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 12 * * * * | 0 1 2 0 0 0 0 | 2 1 0 0
.. ox .. ..&#x | 1 2 | 0 2 0 1 | * * * 12 * * * | 0 1 0 2 0 0 0 | 2 0 1 0
.. .. xo ..&#x | 2 1 | 1 2 0 0 | * * * * 24 * * | 0 0 1 1 1 0 0 | 1 1 1 0
.x .x .. .. | 0 4 | 0 0 2 2 | * * * * * 6 * | 0 1 0 0 0 2 0 | 2 0 0 1
.. .x3.o .. | 0 3 | 0 0 0 3 | * * * * * * 8 | 0 0 0 1 0 1 1 | 1 0 1 1
---------------+-----+------------+------------------+----------------+--------
.. o.3x.3o. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 | 1 * * * * * * | 0 0 2 0
ox ox .. ..&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 2 0 1 0 | * 6 * * * * * | 2 0 0 0
ox .. xo ..&#x ♦ 2 2 | 1 4 1 0 | 0 0 2 0 2 0 0 | * * 12 * * * * | 1 1 0 0
.. ox3xo ..&#x ♦ 3 3 | 3 6 0 3 | 1 0 0 3 3 0 1 | * * * 8 * * * | 1 0 1 0
.. .. xo3oo&#x ♦ 3 1 | 3 3 0 0 | 0 1 0 0 3 0 0 | * * * * 8 * * | 0 1 1 0
.x .x3.o .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * 4 * | 1 0 0 1
.. .x3.o3.o ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * 2 | 0 0 1 1
---------------+-----+------------+------------------+----------------+--------
ox ox3xo ..&#x ♦ 3 6 | 3 12 3 6 | 1 0 6 6 6 3 2 | 0 3 3 2 0 1 0 | 4 * * *
ox .. xo3oo&#x ♦ 3 2 | 3 6 1 0 | 0 1 3 0 6 0 0 | 0 0 3 0 2 0 0 | * 4 * *
.. ox3xo3oo&#x ♦ 6 4 | 12 12 0 6 | 4 4 0 6 12 0 4 | 1 0 0 4 4 0 1 | * * 2 *
.x .x3.o3.o ♦ 0 8 | 0 0 4 12 | 0 0 0 0 0 6 8 | 0 0 0 0 0 4 2 | * * * 1
xox3oxo3ooo&#x → height(1,2) = height(2,3) = sqrt(5/8) = 0.790569 height(1,3) = 1 o..3o..3o.. | 4 * * | 3 3 1 0 0 0 | 3 3 3 3 3 0 0 0 0 0 | 1 3 1 3 3 3 0 0 0 0 | 1 1 3 1 0 .o.3.o.3.o. | * 6 * ♦ 0 2 0 4 2 0 | 0 1 4 0 2 2 2 1 4 0 | 0 2 2 0 1 4 1 2 2 0 | 1 0 2 2 1 ..o3..o3..o | * * 4 | 0 0 1 0 3 3 | 0 0 0 3 3 0 0 3 3 3 | 0 0 0 3 3 3 0 3 1 1 | 0 1 3 1 1 ---------------+-------+----------------+------------------------+----------------------+---------- x.. ... ... | 2 0 0 | 6 * * * * * | 2 1 0 1 0 0 0 0 0 0 | 1 2 0 2 1 0 0 0 0 0 | 1 1 2 0 0 oo.3oo.3oo.&#x | 1 1 0 | * 12 * * * * | 0 1 2 0 1 0 0 0 0 0 | 0 2 1 0 1 2 0 0 0 0 | 1 0 2 1 0 o.o3o.o3o.o&#x | 1 0 1 | * * 4 * * * | 0 0 0 3 3 0 0 0 0 0 | 0 0 0 3 3 3 0 0 0 0 | 0 1 3 1 0 ... .x. ... | 0 2 0 | * * * 12 * * | 0 0 1 0 0 1 1 0 1 0 | 0 1 1 0 0 1 1 1 1 0 | 1 0 1 1 1 .oo3.oo3.oo&#x | 0 1 1 | * * * * 12 * | 0 0 0 0 1 0 0 1 2 0 | 0 0 0 0 1 2 0 2 1 0 | 0 0 2 1 1 ..x ... ... | 0 0 2 | * * * * * 6 | 0 0 0 1 0 0 0 1 0 2 | 0 0 0 2 1 0 0 2 0 1 | 0 1 2 0 1 ---------------+-------+----------------+------------------------+----------------------+---------- x..3o.. ... | 3 0 0 | 3 0 0 0 0 0 | 4 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0 xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 6 * * * * * * * * | 0 2 0 0 1 0 0 0 0 0 | 1 0 2 0 0 ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 12 * * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0 x.x ... ...&#x | 2 0 2 | 1 0 2 0 0 1 | * * * 6 * * * * * * | 0 0 0 2 1 0 0 0 0 0 | 0 1 2 0 0 ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * 12 * * * * * | 0 0 0 0 1 2 0 0 0 0 | 0 0 2 1 0 .o.3.x. ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * 4 * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1 ... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 | * * * * * * 4 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 0 1 1 .ox ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * 6 * * | 0 0 0 0 1 0 0 2 0 0 | 0 0 2 0 1 ... .xo ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * * 12 * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1 ..x3..o ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 4 | 0 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1 ---------------+-------+----------------+------------------------+----------------------+---------- x..3o..3o.. ♦ 4 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0 xo.3ox. ...&#x ♦ 3 3 0 | 3 6 0 3 0 0 | 1 3 3 0 0 1 0 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0 ... ox.3oo.&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 3 0 0 0 1 0 0 0 | * * 4 * * * * * * * | 1 0 0 1 0 x.x3o.o ...&#x ♦ 3 0 3 | 3 0 3 0 0 3 | 1 0 0 3 0 0 0 0 0 1 | * * * 4 * * * * * * | 0 1 1 0 0 xox ... ...&#x ♦ 2 1 2 | 1 2 2 0 2 1 | 0 1 0 1 2 0 0 1 0 0 | * * * * 6 * * * * * | 0 0 2 0 0 ... oxo ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 0 1 0 2 0 0 0 1 0 | * * * * * 12 * * * * | 0 0 1 1 0 .o.3.x.3.o. ♦ 0 6 0 | 0 0 0 12 0 0 | 0 0 0 0 0 4 4 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1 .ox3.xo ...&#x ♦ 0 3 3 | 0 0 0 3 6 3 | 0 0 0 0 0 1 0 3 3 1 | * * * * * * * 4 * * | 0 0 1 0 1 ... .xo3.oo&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 0 1 0 3 0 | * * * * * * * * 4 * | 0 0 0 1 1 ..x3..o3..o ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * 1 | 0 1 0 0 1 ---------------+-------+----------------+------------------------+----------------------+---------- xo.3ox.3oo.&#x ♦ 4 6 0 | 6 12 0 12 0 0 | 4 6 12 0 0 4 4 0 0 0 | 1 4 4 0 0 0 1 0 0 0 | 1 * * * * x.x3o.o3o.o&#x ♦ 4 0 4 | 6 0 4 0 0 6 | 4 0 0 6 0 0 0 0 0 4 | 1 0 0 4 0 0 0 0 0 1 | * 1 * * * xox3oxo ...&#x ♦ 3 3 3 | 3 6 3 3 6 3 | 1 3 3 3 6 1 0 3 3 1 | 0 1 0 1 3 3 0 1 0 0 | * * 4 * * ... oxo3ooo&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 0 3 0 3 0 1 0 3 0 | 0 0 1 0 0 3 0 0 1 0 | * * * 4 * .ox3.xo3.oo&#x ♦ 0 6 4 | 0 0 0 12 12 6 | 0 0 0 0 0 4 4 6 12 4 | 0 0 0 0 0 0 1 4 4 1 | * * * * 1
or o..3o..3o.. & | 8 * | 3 3 1 0 | 3 3 3 3 3 0 0 | 1 3 1 3 3 3 0 | 1 1 3 1 .o.3.o.3.o. | * 6 ♦ 0 4 0 4 | 0 2 8 0 2 2 2 | 0 4 4 0 1 4 1 | 2 0 2 2 -----------------+-----+------------+------------------+----------------+-------- x.. ... ... & | 2 0 | 12 * * * | 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0 oo.3oo.3oo.&#x & | 1 1 | * 24 * * | 0 1 2 0 1 0 0 | 0 2 1 0 1 2 0 | 1 0 2 1 o.o3o.o3o.o&#x | 2 0 | * * 4 * | 0 0 0 3 3 0 0 | 0 0 0 3 3 3 0 | 0 1 3 1 ... .x. ... | 0 2 | * * * 12 | 0 0 2 0 0 1 1 | 0 2 2 0 0 1 1 | 2 0 1 1 -----------------+-----+------------+------------------+----------------+-------- x..3o.. ... & | 3 0 | 3 0 0 0 | 8 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0 xo. ... ...&#x & | 2 1 | 1 2 0 0 | * 12 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0 ... ox. ...&#x & | 1 2 | 0 2 0 1 | * * 24 * * * * | 0 1 1 0 0 1 0 | 1 0 1 1 x.x ... ...&#x | 4 0 | 2 0 2 0 | * * * 6 * * * | 0 0 0 2 1 0 0 | 0 1 2 0 ooo3ooo3ooo&#x | 2 1 | 0 2 1 0 | * * * * 12 * * | 0 0 0 0 1 2 0 | 0 0 2 1 .o.3.x. ... | 0 3 | 0 0 0 3 | * * * * * 4 * | 0 2 0 0 0 0 1 | 2 0 1 0 ... .x.3.o. | 0 3 | 0 0 0 3 | * * * * * * 4 | 0 0 2 0 0 0 1 | 2 0 0 1 -----------------+-----+------------+------------------+----------------+-------- x..3o..3o.. & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 | 2 * * * * * * | 1 1 0 0 xo.3ox. ...&#x & ♦ 3 3 | 3 6 0 3 | 1 3 3 0 0 1 0 | * 8 * * * * * | 1 0 1 0 ... ox.3oo.&#x & ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 0 1 | * * 8 * * * * | 1 0 0 1 x.x3o.o ...&#x ♦ 6 0 | 6 0 3 0 | 2 0 0 3 0 0 0 | * * * 4 * * * | 0 1 1 0 xox ... ...&#x ♦ 4 1 | 2 4 2 0 | 0 2 0 1 2 0 0 | * * * * 6 * * | 0 0 2 0 ... oxo ...&#x ♦ 2 2 | 0 4 1 1 | 0 0 2 0 2 0 0 | * * * * * 12 * | 0 0 1 1 .o.3.x.3.o. ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 4 4 | * * * * * * 1 | 2 0 0 0 -----------------+-----+------------+------------------+----------------+-------- xo.3ox.3oo.&#x & ♦ 4 6 | 6 12 0 12 | 4 6 12 0 0 4 4 | 1 4 4 0 0 0 1 | 2 * * * x.x3o.o3o.o&#x ♦ 8 0 | 12 0 4 0 | 8 0 0 6 0 0 0 | 2 0 0 4 0 0 0 | * 1 * * xox3oxo ...&#x ♦ 6 3 | 6 12 3 3 | 2 6 6 3 6 1 0 | 0 2 0 1 3 3 0 | * * 4 * ... oxo3ooo&#x ♦ 2 3 | 0 6 1 3 | 0 0 6 0 3 0 1 | 0 0 2 0 0 3 0 | * * * 4
© 2004-2024 | top of page |