Euclidean Patterns in Non-Euclidean Tilings

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sqc5189

Index
« sqc5188	sqc5190 »

Vertex Degree:	{3,6}
Transitivity (vertex,edge):	(2,4)
Nodes/Primitive Unit Cell:	12
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	I4122
Symmetry Class:	tetragonal
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
1.99892	1.99892	3.87374	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	6	0.00822	0.75000	0.12500
2	3	0.06462	0.88070	0.37248

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
3	11	34	68	121	213	314	427	573	714
6	16	36	82	152	234	346	474	606	764

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00822	0.75000	0.12500	-0.00822	1.25000	0.12500
0.00822	0.75000	0.12500	0.06462	0.88070	0.37248
0.00822	0.75000	0.12500	-0.38070	0.43538	0.12752
0.56462	0.11930	0.37752	0.61930	0.06462	0.12248

3D Systre Key

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Edges

Cell Vectors

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

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

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

Full image

UQC315 via the G

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc291	*22222	(2,3,2)	{3,6}	{8.4.8}{8.8.4.8.8.4}