Euclidean Patterns in Non-Euclidean Tilings

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sqc11061

Index
« sqc11060	sqc11062 »

Vertex Degree:	{3,6}
Transitivity (vertex,edge):	(2,2)
Nodes/Primitive Unit Cell:	20
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	Fd-3m
Symmetry Class:	cubic
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
3.99998	3.99998	3.99998	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	6	0.37441	0.12500	0.62500
2	3	0.37441	0.87441	0.87559

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
3	12	30	69	117	144	199	333	415	396
6	18	42	78	122	176	240	314	398	492

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.12500	0.87559	0.62500	-0.12500	0.87500	0.62441
0.12441	0.12559	0.62559	0.37441	0.12500	0.62500

3D Systre Key

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Edges

Cell Vectors

1	2
1	3
1	4
1	5
1	6
1	7
2	8
2	9
2	10
2	11
2	12
3	9
3	13
4	8
4	10
4	13
4	14
4	15
5	11
5	14
6	8
6	12
6	13
6	14
6	16
7	8
7	9
7	11
7	15
7	16
8	17
8	18
9	17
9	19
9	20
10	20
11	18
11	19
11	20
12	19
13	18
13	19
13	20
14	17
14	19
14	20
15	19
16	20

0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
1	0	0
1	0	0
0	0	0
0	0	0
0	0	0
1	1	0
0	1	0
0	0	1
0	0	0
-1	-1	1
0	1	0
0	0	0
1	0	1
0	-1	1
1	1	0
0	0	0
1	0	0
0	0	0
0	0	0
1	1	0
0	0	0
0	0	0
0	0	0
0	0	0
-1	-1	1
0	-1	0
-1	-1	1
1	1	0
0	0	0
1	0	0
1	0	0
0	-1	1
0	-1	0
0	-1	1
0	0	0

This Systre Net is generated by the following 1 U-tiling(s):

Full image

UQC4215 via the D

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc103	2*23	(2,2,1)	{3,6}	{4.4.4}{4.4.4.4.4.4}