Euclidean Patterns in Non-Euclidean Tilings

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sqc501

Index
« sqc500	sqc502 »

Vertex Degree:	{4,4}
Transitivity (vertex,edge):	(2,3)
Nodes/Primitive Unit Cell:	5
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	P4/mmm
Symmetry Class:	tetragonal
Long Vectors:	Y

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
2.89122	2.89122	0.55884	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	4	0.00000	0.34538	0.00000
2	4	0.00000	0.00000	0.00000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
4	12	28	56	92	108	180	240	244	376
4	10	26	44	74	124	154	208	296	328

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.34538	0.00000	0.00000	0.65462	1.00000
0.00000	0.34538	0.00000	0.00000	0.65462	0.00000
0.00000	0.00000	0.00000	-0.34538	0.00000	0.00000

3D Systre Key

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Edges

Cell Vectors

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

0	0	0
1	0	0
2	0	0
0	0	0
0	1	0
0	0	0
0	0	0
0	0	1
1	0	1
2	0	1

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

Full image

UQC119 via the D

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc117	*2244	(2,3,2)	{4,4}	{4.12.12.4}{12.12.12.12}