Euclidean Patterns in Non-Euclidean Tilings

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sqc1132

Index
« sqc1131	sqc1133 »

Vertex Degree:	{4,10}
Transitivity (vertex,edge):	(2,3)
Nodes/Primitive Unit Cell:	4
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	P4222
Symmetry Class:	tetragonal
Long Vectors:	Y

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
0.76145	0.76145	3.47097	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	10	0.00000	0.00000	0.00000
2	4	0.50000	0.50000	0.25000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
10	40	102	192	306	444	610	804	1022	1264
4	30	94	182	296	436	602	794	1012	1256

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.00000	0.00000	-1.00000	-1.00000	0.00000
0.00000	0.00000	0.00000	-1.00000	0.00000	0.00000
0.00000	0.00000	0.00000	-0.50000	-0.50000	0.25000

3D Systre Key

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Edges

Cell Vectors

1	1
1	1
1	1
1	2
1	2
1	3
1	3
2	4
2	4
3	4
3	4
4	4
4	4
4	4

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

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

Full image

UQC533 via the D

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc359	*22222	(2,3,3)	{10,4}	{4.3.4.3.4.4.3.4.3.4}{3.4.3.4}