Euclidean Patterns in Non-Euclidean Tilings

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sqc350

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« sqc349	sqc351 »

Vertex Degree:	{6,14}
Transitivity (vertex,edge):	(2,3)
Nodes/Primitive Unit Cell:	2
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	I4/mmm
Symmetry Class:	tetragonal
Long Vectors:	N

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CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
1.3052	1.3052	1.52267	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	14	0.00000	0.00000	0.00000
2	6	0.00000	0.00000	0.50000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
6	42	102	186	294	426	582	762	966	1194
14	50	110	194	302	434	590	770	974	1202

Edges:

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

3D Systre Key

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Edges

Cell Vectors

1	1
1	1
1	1
1	1
1	2
1	2
1	2
1	2
1	2
1	2

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

This Systre Net is generated by the following 4 U-tiling(s):

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UQC471 via the G

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UQC472 via the G

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UQC1403 via the G

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UQC5215 via the P

And the following 3 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc237	*4444	(2,2,3)	{16,8}	{4.3.8.3.4.3.8.3.4.3.8.3.4.3.8.3...
	hqc70	*488	(2,2,2)	{24,8}	{4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4...
	hqc48	*288	(2,2,1)	{16,8}	{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3...