Euclidean Patterns in Non-Euclidean Tilings

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sqc706

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« sqc705	sqc707 »

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

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
2.0	4.0	4.0	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	4	0.25000	0.75000	0.75000
2	4	0.75000	0.75000	0.00000
3	3	0.75000	0.00000	0.50000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
4	12	24	46	72	106	144	190	240	298
4	10	24	44	74	104	144	190	240	296
3	8	18	40	65	100	140	184	234	294

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.25000	0.75000	0.50000	0.25000	0.75000	0.75000
0.25000	0.75000	0.75000	-0.25000	0.75000	0.75000
0.75000	0.00000	0.50000	0.75000	-0.25000	0.50000
0.25000	0.00000	0.50000	-0.25000	0.00000	0.50000

3D Systre Key

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Edges

Cell Vectors

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

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

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

Full image

UQC80 via the P

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc9	*246	(1,1,1)	{4}	{6.6.6.6}