Euclidean Patterns in Non-Euclidean Tilings

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sqc10956

Index
« sqc10955	sqc10957 »

Vertex Degree:	{8}
Transitivity (vertex,edge):	(1,2)
Nodes/Primitive Unit Cell:	12
Nodes/Asymmetric Unit:	1
Other Names:	pyc, crs-e, dia-e-e, 8/3/c3, pyrochlore
Spacegroup:	Fd-3m
Symmetry Class:	cubic
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
3.77124	3.77124	3.77124	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	8	0.37500	0.87500	0.68750

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
8	23	54	99	136	219	292	349	488	589

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.12500	0.93750	0.62500	-0.12500	0.87500	0.56250
0.06250	0.87500	0.37500	-0.12500	0.87500	0.56250

3D Systre Key

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Edges

Cell Vectors

1	2
1	3
1	4
1	5
1	6
1	7
1	8
1	9
2	3
2	4
2	7
2	8
2	10
2	11
2	12
3	5
3	6
3	9
3	10
3	11
3	12
4	5
4	6
4	9
4	10
4	11
4	12
5	7
5	8
5	10
5	11
5	12
6	7
6	8
6	10
6	11
6	12
7	9
7	10
7	11
7	12
8	9
8	10
8	11
8	12
9	10
9	11
9	12

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

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

Full image

UQC1373 via the D

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc1	*238	(1,1,1)	{8}	{3.3.3.3.3.3.3.3}