Euclidean Patterns in Non-Euclidean Tilings

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sqc4624

Index
« sqc4623	sqc4625 »

Vertex Degree:	{3,5}
Transitivity (vertex,edge):	(2,3)
Nodes/Primitive Unit Cell:	12
Nodes/Asymmetric Unit:	2
Other Names:	--
Spacegroup:	P4/mmm
Symmetry Class:	tetragonal
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
3.44098	3.44098	2.01029	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	5	0.00000	0.35469	0.00000
2	3	0.17847	0.17847	0.25128

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
5	10	18	37	56	71	102	140	169	202
3	9	20	29	49	81	102	127	167	207

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.35469	0.00000	-0.17847	0.17847	-0.25128
0.00000	0.35469	0.00000	0.00000	0.64531	0.00000
0.17847	0.17847	0.25128	0.17847	0.17847	0.74872

3D Systre Key

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Edges

Cell Vectors

1	2
1	3
1	4
1	5
1	6
2	3
2	7
3	7
4	6
4	8
5	9
5	10
5	11
5	12
6	8
7	8
7	9
7	10
8	11
8	12
9	10
11	12

0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
1	0	0
0	0	0
0	0	0
1	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	0	0
0	1	0
0	0	1
0	0	1
0	0	1
0	0	1
1	0	0
1	0	0

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

Full image

UQC315 via the P

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc291	*22222	(2,3,2)	{3,6}	{8.4.8}{8.8.4.8.8.4}