Euclidean Patterns in Non-Euclidean Tilings

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sqc3505

Index
« sqc3504	sqc3506 »

Vertex Degree:	{4,12}
Transitivity (vertex,edge):	(2,3)
Nodes/Primitive Unit Cell:	6
Nodes/Asymmetric Unit:	2
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
1.58457	1.58457	2.44059	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	12	0.00000	0.50000	0.25000
2	4	0.25000	0.04654	0.37500

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
12	36	90	160	252	362	504	650	836	1024
4	32	74	142	238	342	470	634	796	996

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.50000	0.25000	-0.54654	0.75000	0.12500
0.00000	0.00000	0.00000	-0.25000	-0.04654	0.37500
0.00000	0.50000	0.25000	-0.50000	0.50000	0.50000

3D Systre Key

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Edges

Cell Vectors

1	2
1	2
1	3
1	3
2	3
2	3
2	3
2	3
2	4
2	4
2	5
2	5
2	6
2	6
3	4
3	4
3	5
3	5
3	6
3	6

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

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

Full image

UQC162 via the G

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc158	*2244	(2,2,2)	{12,4}	{3.8.3.3.8.3.3.8.3.3.8.3}{3.8.3.8}