octasircoacube

Acronym	octasircoacube
Name	oct atop sirco atop cube
	©
Lace city in approx. ASCII-art	o4o o4x o4o x4o x4x x4x x4o x4o x4o
Dihedral angles (at margins)	at {4} between trip and trip (within upper segment): arccos[-sqrt(8)/3] = 160.528779° at {3} between oct and trip: 150° at {3} between squippy and trip: 150° at {3} between tet and trip (within lower segment): 150° at {4} between (lacing) cube and trip: arccos[-sqrt(2/3)] = 144.735610° at {4} between (base) cube and (lacing) cube: 135° at {4} between cube and squippy (across rim): 90° at {3} between tet and trip (across rim): 90° at {4} between trip and trip (across rim): 90°
Face vector	38, 120, 136, 54
Confer	segmentochora: octasirco cubasirco general polytopal classes: bistratic lace towers

This polychoron is a mere stack of 2 segmentochora. None the less it is special in that all dihedrals of the rim independently equate to 90°.

Incidence matrix according to Dynkin symbol

xxo3ooo4oxx&#xt   → height(1,2) = 1/2
                    height(2,3) = 1/sqrt(2) = 0.707107
(oct || pseudo sirco || cube)

o..3o..4o..    | 6  * * |  4  4  0  0  0  0 | 4  8  4 0  0 0  0  0 0 | 1 4  4 1 0  0 0 0
.o.3.o.4.o.    | * 24 * |  0  1  2  2  1  0 | 0  2  2 1  2 1  2  2 0 | 0 1  2 1 1  2 1 0
..o3..o4..o    | *  * 8 |  0  0  0  0  3  3 | 0  0  0 0  0 0  3  6 3 | 0 0  0 0 1  3 3 1
---------------+--------+-------------------+------------------------+------------------
x.. ... ...    | 2  0 0 | 12  *  *  *  *  * | 2  2  0 0  0 0  0  0 0 | 1 2  1 0 0  0 0 0
oo.3oo.4oo.&#x | 1  1 0 |  * 24  *  *  *  * | 0  2  2 0  0 0  0  0 0 | 0 1  2 1 0  0 0 0
.x. ... ...    | 0  2 0 |  *  * 24  *  *  * | 0  1  0 1  1 0  1  0 0 | 0 1  1 0 1  1 0 0
... ... .x.    | 0  2 0 |  *  *  * 24  *  * | 0  0  1 0  1 1  0  1 0 | 0 0  1 1 0  1 1 0
.oo3.oo4.oo&#x | 0  1 1 |  *  *  *  * 24  * | 0  0  0 0  0 0  2  2 0 | 0 0  0 0 1  2 1 0
... ... ..x    | 0  0 2 |  *  *  *  *  * 12 | 0  0  0 0  0 0  0  2 2 | 0 0  0 0 0  1 2 1
---------------+--------+-------------------+------------------------+------------------
x..3o.. ...    | 3  0 0 |  3  0  0  0  0  0 | 8  *  * *  * *  *  * * | 1 1  0 0 0  0 0 0
xx. ... ...&#x | 2  2 0 |  1  2  1  0  0  0 | * 24  * *  * *  *  * * | 0 1  1 0 0  0 0 0
... ... ox.&#x | 1  2 0 |  0  2  0  1  0  0 | *  * 24 *  * *  *  * * | 0 0  1 1 0  0 0 0
.x.3.o. ...    | 0  3 0 |  0  0  3  0  0  0 | *  *  * 8  * *  *  * * | 0 1  0 0 1  0 0 0
.x. ... .x.    | 0  4 0 |  0  0  2  2  0  0 | *  *  * * 12 *  *  * * | 0 0  1 0 0  1 0 0
... .o.4.x.    | 0  4 0 |  0  0  0  4  0  0 | *  *  * *  * 6  *  * * | 0 0  0 1 0  0 1 0
.xo ... ...&#x | 0  2 1 |  0  0  1  0  2  0 | *  *  * *  * * 24  * * | 0 0  0 0 1  1 0 0
... ... .xx&#x | 0  2 2 |  0  0  0  1  2  1 | *  *  * *  * *  * 24 * | 0 0  0 0 0  2 0 0
... ..o4..x    | 0  0 4 |  0  0  0  0  0  4 | *  *  * *  * *  *  * 6 | 0 0  0 0 0  0 1 1
---------------+--------+-------------------+------------------------+------------------
x..3o..4o..    ♦ 6  0 0 | 12  0  0  0  0  0 | 8  0  0 0  0 0  0  0 0 | 1 *  * * *  * * *
xx.3oo. ...&#x ♦ 3  3 0 |  3  3  3  0  0  0 | 1  3  0 1  0 0  0  0 0 | * 8  * * *  * * *
xx. ... ox.&#x ♦ 2  4 0 |  1  4  2  2  0  0 | 0  2  2 0  1 0  0  0 0 | * * 12 * *  * * *
... oo.4ox.&#x ♦ 1  4 0 |  0  4  0  4  0  0 | 0  0  4 0  0 1  0  0 0 | * *  * 6 *  * * *
.xo3.oo ...&#x ♦ 0  3 1 |  0  0  3  0  3  0 | 0  0  0 1  0 0  3  0 0 | * *  * * 8  * * *
.xo ... .xx&#x ♦ 0  4 2 |  0  0  2  2  4  1 | 0  0  0 0  1 0  2  2 0 | * *  * * * 12 * *
... .oo4.xx&#x ♦ 0  4 4 |  0  0  0  4  4  4 | 0  0  0 0  0 1  4  0 1 | * *  * * *  * 6 *
..o3..o4..x    ♦ 0  0 8 |  0  0  0  0  0 12 | 0  0  0 0  0 0  0  0 6 | * *  * * *  * * 1

top of page