Euclidean Patterns in Non-Euclidean Tilings

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sqc3322

Index
« sqc3321	sqc3323 »

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

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
1.90035	1.90035	1.24687	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	4	0.00000	0.00000	0.00000
2	8	0.00000	0.00000	0.50000
3	4	0.04428	0.25000	0.87500

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
8	24	86	130	270	326	554	610	942	982
4	28	58	162	210	396	452	732	780	1172
4	20	58	132	214	342	460	652	798	1062

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.00000	0.00000	-0.50000	0.00000	-0.25000
0.00000	0.00000	0.50000	-0.25000	0.45572	0.62500
0.54428	0.75000	0.37500	0.95572	0.75000	-0.12500

3D Systre Key

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Edges

Cell Vectors

1	2
1	2
1	2
1	2
2	3
2	4
2	5
2	6
3	4
3	4
3	7
4	7
5	6
5	6
5	7
6	7
7	8
7	8
7	8
7	8

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

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

Full image

UQC75 via the G

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc174	*2244	(3,3,1)	{4,8,4}	{5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5}