Euclidean Patterns in Non-Euclidean Tilings

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sqc121

Index
« sqc120	sqc122 »

Vertex Degree:	{4,6}
Transitivity (vertex,edge):	(2,5)
Nodes/Primitive Unit Cell:	3
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	Cmmm
Symmetry Class:	orthorhombic
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
3.0	1.73205	1.0	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	6	0.16667	0.00000	0.00000
2	4	0.50000	0.00000	0.00000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
4	12	32	62	104	154	216	286	368	458
6	20	44	78	122	176	240	314	398	492

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.16667	0.00000	0.00000	0.16667	0.00000	-1.00000
0.16667	0.00000	0.00000	-0.16667	0.00000	0.00000
0.16667	0.00000	0.00000	0.33333	-0.50000	0.00000
0.16667	0.00000	0.00000	0.50000	0.00000	0.00000
0.50000	0.00000	0.00000	0.50000	0.00000	-1.00000

3D Systre Key

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Edges

Cell Vectors

1	1
1	2
1	2
1	2
1	3
2	2
2	3
3	3

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

This Systre Net is generated by the following 2 U-tiling(s):

Full image

UQC694 via the D

Full image

UQC1588 via the D

And the following 2 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc575	*222222	(2,5,3)	{6,4}	{4.4.8.8.4.4}{8.8.8.8}
	hqc1260	*222222	(2,6,4)	{8,4}	{4.4.4.4.4.4.4.4}{4.4.4.4}