Euclidean Patterns in Non-Euclidean Tilings

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sqc55

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« sqc54	sqc56 »

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

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CrystalMaker Unit Cell CM File

Unit Cell:

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

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	6	0.00000	0.00000	0.00000
2	4	0.00000	0.33333	0.00000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
4	10	24	50	86	130	182	242	310	386
6	18	38	66	102	146	198	258	326	402

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.00000	0.00000	0.00000	0.00000	-1.00000
0.00000	0.00000	0.00000	-1.00000	0.00000	0.00000
0.00000	0.00000	0.00000	0.00000	-0.33333	0.00000
0.00000	0.33333	0.00000	0.00000	0.33333	-1.00000
0.00000	0.33333	0.00000	0.00000	0.66667	0.00000

3D Systre Key

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Edges

Cell Vectors

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

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

This Systre Net is generated by the following 7 U-tiling(s):

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UQC698 via the P

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UQC699 via the P

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UQC700 via the D

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UQC701 via the D

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UQC714 via the P

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UQC1603 via the P

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UQC2934 via the D

And the following 4 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc603	*22222	(2,5,3)	{4,8}	{4.4.4.4}{4.4.4.4.4.4.4.4}
	hqc606	*222222	(2,5,3)	{4,8}	{4.8.8.4}{8.4.4.8.8.4.4.8}
	hqc1265	*222222	(2,6,4)	{12,4}	{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
	hqc2299	*222222	(2,7,5)	{4,6}	{4.8.4.4}{4.4.4.4.8.8}