Euclidean Patterns in Non-Euclidean Tilings

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sqc11146

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« sqc11145	sqc11147 »

Vertex Degree:	{4}
Transitivity (vertex,edge):	(1,2)
Nodes/Primitive Unit Cell:	24
Nodes/Asymmetric Unit:	1
Other Names:	4/3/c9
Spacegroup:	Fd-3m
Symmetry Class:	cubic
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
5.65685	5.65685	5.65685	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	4	0.00000	0.37500	0.50000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
4	10	22	39	69	110	172	198	268	341

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.00000	0.87500	-0.12500	0.00000	0.75000
0.00000	0.37500	0.50000	0.00000	0.50000	0.62500

3D Systre Key

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Edges

Cell Vectors

1	2
1	3
1	4
1	5
2	3
2	6
2	7
3	8
3	9
4	8
4	10
4	11
5	6
5	12
5	13
6	12
6	14
7	9
7	15
7	16
8	10
8	17
9	15
9	18
10	19
10	20
11	16
11	20
11	21
12	19
12	22
13	18
13	21
13	22
14	17
14	19
14	23
15	20
15	22
16	20
16	23
17	19
17	24
18	22
18	24
21	23
21	24
23	24

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

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

Full image

UQC1378 via the D

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc90	2*23	(1,2,2)	{4}	{3.6.6.6}