eoctaco

Acronym	eoctaco
Name	elongated octaco
Lace city in approx. ASCII-art	o3x x3o x3o x3x o3x x3o x3x o3x
Lace city in approx. ASCII-art	o4o x4o o4o -- oct x4o o4q x4o -- co x4o o4q x4o -- co \| +-- esquipy
Dihedral angles (at margins)	at {3} between oct and trip: 150° at {4} between esquipy and trip: arccos[-1/sqrt(3)] = 125.264390° at {3} between oct and oct: 120° at {3} between esquipy and oct: 120° at {4} between co and esquipy: 90° at {3} between co and trip: 90°
Face vector	30, 96, 90, 24
Confer	segmentochora: octaco cope related CRFs: pexic general polytopal classes: bistratic lace towers

Incidence matrix according to Dynkin symbol

xoo3oxx4ooo&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                    height(2,3) = 1
(oct || pseudo co || co)

o..3o..4o..     | 6  *  * ♦  4  4  0  0  0 | 4  4  4 0  0 0 0 | 1 4 1 0 0
.o.3.o.4.o.     | * 12  * |  0  2  4  1  0 | 0  1  4 2  4 0 0 | 0 2 2 2 0
..o3..o4..o     | *  * 12 ♦  0  0  0  1  4 | 0  0  0 0  4 2 2 | 0 0 2 2 1
----------------+---------+----------------+------------------+----------
x.. ... ...     | 2  0  0 | 12  *  *  *  * | 2  1  0 0  0 0 0 | 1 2 0 0 0
oo.3oo.4oo.&#x  | 1  1  0 |  * 24  *  *  * | 0  1  2 0  0 0 0 | 0 2 1 0 0
... .x. ...     | 0  2  0 |  *  * 24  *  * | 0  0  1 1  1 0 0 | 0 1 1 1 0
.oo3.oo4.oo&#x  | 0  1  1 |  *  *  * 12  * | 0  0  0 0  4 0 0 | 0 0 2 2 0
... ..x ...     | 0  0  2 |  *  *  *  * 24 | 0  0  0 0  1 1 1 | 0 0 1 1 1
----------------+---------+----------------+------------------+----------
x..3o.. ...     | 3  0  0 |  3  0  0  0  0 | 8  *  * *  * * * | 1 1 0 0 0
xo. ... ...&#x  | 2  1  0 |  1  2  0  0  0 | * 12  * *  * * * | 0 2 0 0 0
... ox. ...&#x  | 1  2  0 |  0  2  1  0  0 | *  * 24 *  * * * | 0 1 1 0 0
.o.3.x. ...     | 0  3  0 |  0  0  3  0  0 | *  *  * 8  * * * | 0 1 0 1 0
... .xx ...&#x  | 0  2  2 |  0  0  1  2  1 | *  *  * * 24 * * | 0 0 1 1 0
..o3..x ...     | 0  0  3 |  0  0  0  0  3 | *  *  * *  * 8 * | 0 0 0 1 1
... ..x4..o     | 0  0  4 |  0  0  0  0  4 | *  *  * *  * * 6 | 0 0 1 0 1
----------------+---------+----------------+------------------+----------
x..3o..4o..     ♦ 6  0  0 | 12  0  0  0  0 | 8  0  0 0  0 0 0 | 1 * * * *
xo.3ox. ...&#x  ♦ 3  3  0 |  3  6  3  0  0 | 1  3  3 1  0 0 0 | * 8 * * *
... oxx4ooo&#xt ♦ 1  4  4 |  0  4  4  4  4 | 0  0  4 0  4 0 1 | * * 6 * *
.oo3.xx ...&#x  ♦ 0  3  3 |  0  0  3  3  3 | 0  0  0 1  3 1 0 | * * * 8 *
..o3..x4..o     ♦ 0  0 12 |  0  0  0  0 24 | 0  0  0 0  0 8 6 | * * * * 1

oxx3xoo3oxx&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                    height(2,3) = 1
(oct || pseudo co || co)

o..3o..3o..     | 6  *  * ♦  4  4  0  0  0  0  0 | 2 2  2  4  2 0 0  0  0 0 0 0 | 1 2 1 2 0 0 0
.o.3.o.3.o.     | * 12  * |  0  2  2  2  1  0  0 | 0 0  2  1  2 1 1  2  2 0 0 0 | 0 1 2 1 1 1 0
..o3..o3..o     | *  * 12 ♦  0  0  0  0  1  2  2 | 0 0  0  0  0 0 0  2  2 1 2 1 | 0 0 2 0 1 1 1
----------------+---------+----------------------+------------------------------+--------------
... x.. ...     | 2  0  0 | 12  *  *  *  *  *  * | 1 1  0  1  0 0 0  0  0 0 0 0 | 1 1 0 1 0 0 0
oo.3oo.3oo.&#x  | 1  1  0 |  * 24  *  *  *  *  * | 0 0  1  1  1 0 0  0  0 0 0 0 | 0 1 1 1 0 0 0
.x. ... ...     | 0  2  0 |  *  * 12  *  *  *  * | 0 0  1  0  0 1 0  1  0 0 0 0 | 0 1 1 0 1 0 0
... ... .x.     | 0  2  0 |  *  *  * 12  *  *  * | 0 0  0  0  1 0 1  0  1 0 0 0 | 0 0 1 1 0 1 0
.oo3.oo3.oo&#x  | 0  1  1 |  *  *  *  * 12  *  * | 0 0  0  0  0 0 0  2  2 0 0 0 | 0 0 2 0 1 1 0
..x ... ...     | 0  0  2 |  *  *  *  *  * 12  * | 0 0  0  0  0 0 0  1  0 1 1 0 | 0 0 1 0 1 0 1
... ... ..x     | 0  0  2 |  *  *  *  *  *  * 12 | 0 0  0  0  0 0 0  0  1 0 1 1 | 0 0 1 0 0 1 1
----------------+---------+----------------------+------------------------------+--------------
o..3x.. ...     | 3  0  0 |  3  0  0  0  0  0  0 | 4 *  *  *  * * *  *  * * * * | 1 1 0 0 0 0 0
... x..3o..     | 3  0  0 |  3  0  0  0  0  0  0 | * 4  *  *  * * *  *  * * * * | 1 0 0 1 0 0 0
ox. ... ...&#x  | 1  2  0 |  0  2  1  0  0  0  0 | * * 12  *  * * *  *  * * * * | 0 1 1 0 0 0 0
... xo. ...&#x  | 2  1  0 |  1  2  0  0  0  0  0 | * *  * 12  * * *  *  * * * * | 0 1 0 1 0 0 0
... ... ox.&#x  | 1  2  0 |  0  2  0  1  0  0  0 | * *  *  * 12 * *  *  * * * * | 0 0 1 1 0 0 0
.x.3.o. ...     | 0  3  0 |  0  0  3  0  0  0  0 | * *  *  *  * 4 *  *  * * * * | 0 1 0 0 1 0 0
... .o.3.x.     | 0  3  0 |  0  0  0  3  0  0  0 | * *  *  *  * * 4  *  * * * * | 0 0 0 1 0 1 0
.xx ... ...&#x  | 0  2  2 |  0  0  1  0  2  1  0 | * *  *  *  * * * 12  * * * * | 0 0 1 0 1 0 0
... ... .xx&#x  | 0  2  2 |  0  0  0  1  2  0  1 | * *  *  *  * * *  * 12 * * * | 0 0 1 0 0 1 0
..x3..o ...     | 0  0  3 |  0  0  0  0  0  3  0 | * *  *  *  * * *  *  * 4 * * | 0 0 0 0 1 0 1
..x ... ..x     | 0  0  4 |  0  0  0  0  0  2  2 | * *  *  *  * * *  *  * * 6 * | 0 0 1 0 0 0 1
... ..o3..x     | 0  0  3 |  0  0  0  0  0  0  3 | * *  *  *  * * *  *  * * * 4 | 0 0 0 0 0 1 1
----------------+---------+----------------------+------------------------------+--------------
o..3x..3o..     ♦ 6  0  0 | 12  0  0  0  0  0  0 | 4 4  0  0  0 0 0  0  0 0 0 0 | 1 * * * * * *
ox.3xo. ...&#x  ♦ 3  3  0 |  3  6  3  0  0  0  0 | 1 0  3  3  0 1 0  0  0 0 0 0 | * 4 * * * * *
oxx ... oxx&#xt ♦ 1  4  4 |  0  4  2  2  4  2  2 | 0 0  2  0  2 0 0  2  2 0 1 0 | * * 6 * * * *
... xo.3ox.&#x  ♦ 3  3  0 |  3  6  0  3  0  0  0 | 0 1  0  3  3 0 1  0  0 0 0 0 | * * * 4 * * *
.xx3.oo ...&#x  ♦ 0  3  3 |  0  0  3  0  3  3  0 | 0 0  0  0  0 1 0  3  0 1 0 0 | * * * * 4 * *
... .oo3.xx&#x  ♦ 0  3  3 |  0  0  0  3  3  0  3 | 0 0  0  0  0 0 1  0  3 0 0 1 | * * * * * 4 *
..x3..o3..x     ♦ 0  0 12 |  0  0  0  0  0 12 12 | 0 0  0  0  0 0 0  0  0 4 6 4 | * * * * * * 1

top of page