Euclidean Patterns in Non-Euclidean Tilings

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sqc938

Index
« sqc937	sqc939 »

Vertex Degree:	{4,8}
Transitivity (vertex,edge):	(2,3)
Nodes/Primitive Unit Cell:	5
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	I-42m
Symmetry Class:	tetragonal
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
2.20014	2.20014	2.15361	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	8	0.00000	0.00000	0.50000
2	4	0.19072	0.19072	0.87374

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
8	20	50	80	128	182	248	320	410	500
4	17	43	79	124	178	244	319	403	499

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.19072	0.19072	0.87374	-0.19072	0.19072	1.12626
0.00000	0.00000	0.50000	-0.30928	0.30928	0.62626
0.00000	0.00000	0.50000	-0.19072	-0.19072	0.87374

3D Systre Key

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Edges

Cell Vectors

1	2
1	2
1	3
1	4
2	3
2	3
2	4
2	4
2	5
2	5
3	5
4	5

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

This Systre Net is generated by the following 2 U-tiling(s):

Full image

UQC479 via the G

Full image

UQC480 via the G

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc240	*4444	(2,2,3)	{4,8}	{4.12.8.12}{12.8.12.8.12.8.12.8}