Euclidean Patterns in Non-Euclidean Tilings

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sqc6489

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« sqc6488	sqc6490 »

Vertex Degree:	{4,10}
Transitivity (vertex,edge):	(2,4)
Nodes/Primitive Unit Cell:	8
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	I4122
Symmetry Class:	tetragonal
Long Vectors:	Y

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
0.40655	0.40655	1.91719	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	4	0.18236	0.25000	0.12500
2	10	0.20579	0.25000	0.62500

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
4	29	112	280	557	929	1397	1961	2621	3377
10	45	146	342	633	1021	1505	2085	2761	3533

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.18236	0.25000	0.12500	-1.25000	-1.29421	-0.12500
0.18236	0.25000	0.12500	-1.75000	-0.79421	0.37500
0.20579	0.25000	0.62500	-0.29421	0.75000	1.12500
0.20579	0.25000	0.62500	1.75000	1.79421	0.37500

3D Systre Key

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Edges

Cell Vectors

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

0	0	0
1	0	0
0	0	0
0	1	0
-1	0	0
0	0	-1
0	0	-1
0	0	0
0	0	0
0	0	0
-1	1	-1
0	-1	0
0	0	-1
1	-1	0
0	0	-1
0	-1	0
-1	0	0
0	-1	0
0	0	0
1	0	0
0	0	0
0	1	0
-1	1	-1
0	0	-1
0	1	-1
0	1	0
-1	2	-1
0	1	0

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

Full image

UQC532 via the G

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc359	*22222	(2,3,3)	{10,4}	{4.3.4.3.4.4.3.4.3.4}{3.4.3.4}