sircoa gircotum

Acronym	sircoa gircotum
Name	bistratic cap of prismatorhombated tesseract, rhombicuboctahedral rotunda, (sirco,girco)-based tutschoron, (sirco,girco)-based tutism
	©
Circumradius	sqrt[(7+3 sqrt(2))/2] = 2.370932
Lace city in approx. ASCII-art	x4o x4x x4x x4o x4o x4u x4u x4o x4x x4u w4x w4x x4u x4x
Lace city in approx. ASCII-art	x3x u3o x3w x3o u3q x3q u3w X3o w3o X3x o3w x3X o3X q3x w3u q3u o3x w3x o3u x3x
Coordinates	((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations; all changes of sign but in last coordinate
Dihedral angles	at {6} between hip and tut: 150° at {4} between cube and hip: arccos[-sqrt(2/3)] = 144.735610° at {4} between cube and sirco: 135° at {4} between cube and squacu: 135° at {4} between hip and sirco: arccos[-1/sqrt(3)] = 125.264390° at {4} between hip and squacu: arccos[-1/sqrt(3)] = 125.264390° at {3} between sirco and tut: 120° at {3} between squacu and tut: 120° at {8} between girco and squacu: 90° at {6} between girco and tut: 60° at {4} between girco and hip: arccos[1/sqrt(3)] = 54.735610°
Face vector	96, 216, 154, 34
Confer	uniform relative: prit related CRFs: pacprit general polytopal classes: tutsatopes bistratic lace towers

Incidence matrix according to Dynkin symbol

xux3oox4xxx&#xt   → both heights = 1/sqrt(2) = 0.707107
(sirco || pseudo (u,x)-sirco || girco)

o.....3o.....4o.....     | 24  *  * |  2  2  1  0  0  0  0  0 | 1  2 1  2  2 0  0  0 0  0 0 | 1 1 1  2 0 0
.o....3.o....4.o....     |  * 24  * |  0  0  1  2  2  0  0  0 | 0  0 0  2  2 1  1  2 0  0 0 | 0 1 1  2 1 0
..o...3..o...4..o...     |  *  * 48 |  0  0  0  0  1  1  1  1 | 0  0 0  0  1 0  1  1 1  1 1 | 0 0 1  1 1 1
-------------------------+----------+-------------------------+-----------------------------+-------------
x..... ...... ......     |  2  0  0 | 24  *  *  *  *  *  *  * | 1  1 0  0  1 0  0  0 0  0 0 | 1 0 1  1 0 0
...... ...... x.....     |  2  0  0 |  * 24  *  *  *  *  *  * | 0  1 1  1  0 0  0  0 0  0 0 | 1 1 0  1 0 0
oo....3oo....4oo....&#x  |  1  1  0 |  *  * 24  *  *  *  *  * | 0  0 0  2  2 0  0  0 0  0 0 | 0 1 1  2 0 0
...... ...... .x....     |  0  2  0 |  *  *  * 24  *  *  *  * | 0  0 0  1  0 1  0  1 0  0 0 | 0 1 0  1 1 0
.oo...3.oo...4.oo...&#x  |  0  1  1 |  *  *  *  * 48  *  *  * | 0  0 0  0  1 0  1  1 0  0 0 | 0 0 1  1 1 0
..x... ...... ......     |  0  0  2 |  *  *  *  *  * 24  *  * | 0  0 0  0  1 0  0  0 1  1 0 | 0 0 1  1 0 1
...... ..x... ......     |  0  0  2 |  *  *  *  *  *  * 24  * | 0  0 0  0  0 0  1  0 1  0 1 | 0 0 1  0 1 1
...... ...... ..x...     |  0  0  2 |  *  *  *  *  *  *  * 24 | 0  0 0  0  0 0  0  1 0  1 1 | 0 0 0  1 1 1
-------------------------+----------+-------------------------+-----------------------------+-------------
x.....3o..... ......     |  3  0  0 |  3  0  0  0  0  0  0  0 | 8  * *  *  * *  *  * *  * * | 1 0 1  0 0 0
x..... ...... x.....     |  4  0  0 |  2  2  0  0  0  0  0  0 | * 12 *  *  * *  *  * *  * * | 1 0 0  1 0 0
...... o.....4x.....     |  4  0  0 |  0  4  0  0  0  0  0  0 | *  * 6  *  * *  *  * *  * * | 1 1 0  0 0 0
...... ...... xx....&#x  |  2  2  0 |  0  1  2  1  0  0  0  0 | *  * * 24  * *  *  * *  * * | 0 1 0  1 0 0
xux... ...... ......&#xt |  2  2  2 |  1  0  2  0  2  1  0  0 | *  * *  * 24 *  *  * *  * * | 0 0 1  1 0 0
...... .o....4.x....     |  0  4  0 |  0  0  0  4  0  0  0  0 | *  * *  *  * 6  *  * *  * * | 0 1 0  0 1 0
...... .ox... ......&#x  |  0  1  2 |  0  0  0  0  2  0  1  0 | *  * *  *  * * 24  * *  * * | 0 0 1  0 1 0
...... ...... .xx...&#x  |  0  2  2 |  0  0  0  1  2  0  0  1 | *  * *  *  * *  * 24 *  * * | 0 0 0  1 1 0
..x...3..x... ......     |  0  0  6 |  0  0  0  0  0  3  3  0 | *  * *  *  * *  *  * 8  * * | 0 0 1  0 0 1
..x... ...... ..x...     |  0  0  4 |  0  0  0  0  0  2  0  2 | *  * *  *  * *  *  * * 12 * | 0 0 0  1 0 1
...... ..x...4..x...     |  0  0  8 |  0  0  0  0  0  0  4  4 | *  * *  *  * *  *  * *  * 6 | 0 0 0  0 1 1
-------------------------+----------+-------------------------+-----------------------------+-------------
x.....3o.....4x.....     ♦ 24  0  0 | 24 24  0  0  0  0  0  0 | 8 12 6  0  0 0  0  0 0  0 0 | 1 * *  * * *
...... oo....4xx....&#x  ♦  4  4  0 |  0  4  4  4  0  0  0  0 | 0  0 1  4  0 1  0  0 0  0 0 | * 6 *  * * *
xux...3oox... ......&#xt ♦  3  3  6 |  3  0  3  0  6  3  3  0 | 1  0 0  0  3 0  3  0 1  0 0 | * * 8  * * *
xux... ...... xxx...&#xt ♦  4  4  4 |  2  2  4  2  4  2  0  2 | 0  1 0  2  2 0  0  2 0  1 0 | * * * 12 * *
...... .ox...4.xx...&#x  ♦  0  4  8 |  0  0  0  4  8  0  4  4 | 0  0 0  0  0 1  4  4 0  0 1 | * * *  * 6 *
..x...3..x...4..x...     ♦  0  0 48 |  0  0  0  0  0 24 24 24 | 0  0 0  0  0 0  0  0 8 12 6 | * * *  * * 1

top of page