Euclidean Patterns in Non-Euclidean Tilings

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sqc391

Index
« sqc390	sqc392 »

Vertex Degree:	{4,8}
Transitivity (vertex,edge):	(2,3)
Nodes/Primitive Unit Cell:	3
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	P4/mmm
Symmetry Class:	tetragonal
Long Vectors:	N

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CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
1.63453	1.63453	1.0539	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	8	0.00000	0.50000	0.00000
2	4	0.00000	0.00000	0.00000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
8	26	56	98	152	218	296	386	488	602
4	20	50	94	146	214	290	382	482	598

Edges:

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

3D Systre Key

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Edges

Cell Vectors

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

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

This Systre Net is generated by the following 6 U-tiling(s):

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UQC111 via the P

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UQC122 via the P

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UQC123 via the D

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UQC1699 via the D

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UQC2571 via the D

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UQC4154 via the D

And the following 4 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc113	*2224	(2,3,2)	{8,4}	{4.3.3.4.4.3.3.4}{3.3.3.3}
	hqc121	*2244	(2,3,2)	{8,4}	{8.3.3.8.8.3.3.8}{3.3.3.3}
	hqc1284	*222222	(2,5,4)	{8,4}	{4.4.3.6.6.3.4.4}{3.6.3.6}
	hqc1930	*222222	(2,6,5)	{10,4}	{4.4.3.3.4.4.3.3.4.4}{3.3.3.3}