s-net: sqc12886

Barycentric geometry maximising unit cell volume Geometry favouring equal edge lengths (relaxed) Toggle geometry	Customizable net view on webGavrog Systre crystallographic geometry file (.cgd)

Other names

RCSR name	pbg
Keywords	sphere packing
Fisher-Koch-Sowa symbol	3/6/c6

Links to this net in other databases

RCSR

topcryst

Topological data

Vertices per primitive translational unit	48
Edges per primitive translational unit	72
Transitivity (vertex,edge)	(1,2)
Vertex degrees	{3}
Vertex coordination sequence	[(3, 6, 11, 18, 29, 46, 65, 83, 103, 130)]
Wells’ vertex symbol	[6.8^2]
Systre key	(3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 3, 7, 0, 0, 0, 3, 8, 0, 0, 0, 4, 9, 0, 0, 0, 4, 10, 0, 0, 0, 5, 11, 0, 0, 0, 5, 12, 0, 0, 0, 6, 13, 0, 0, 0, 6, 14, 0, 0, 0, 7, 12, 0, 0, 0, 7, 15, 0, 0, 0, 8, 16, 0, 0, 0, 8, 17, 0, 0, 0, 9, 18, 0, 0, 0, 9, 19, 0, 0, 0, 10, 20, 0, 0, 0, 10, 21, 0, 0, 0, 11, 22, 0, 0, 0, 11, 23, 0, 0, 0, 12, 24, 0, 0, 0, 13, 25, 0, 0, 0, 13, 26, 0, 0, 0, 14, 27, 0, 0, 0, 14, 28, 0, 0, 0, 15, 25, 1, 0, 0, 15, 27, 1, 0, 0, 16, 22, 0, 1, 0, 16, 29, 0, 0, 0, 17, 23, 0, 1, 0, 17, 30, 0, 0, 0, 18, 28, 0, 0, 0, 18, 31, 0, 0, 0, 19, 24, 0, 0, 1, 19, 32, 0, 0, 0, 20, 24, 0, 0, 1, 20, 33, 0, 0, 0, 21, 30, 0, 0, 0, 21, 34, 0, 0, 0, 22, 35, 0, 0, 0, 23, 36, 0, 0, 0, 25, 37, 0, 0, 0, 26, 36, 0, 0, 0, 26, 38, 0, 0, 0, 27, 39, 0, 0, 0, 28, 40, 0, 0, 0, 29, 38, 0, 1, -1, 29, 39, 1, 0, 0, 30, 41, 0, 0, 0, 31, 37, 0, 1, 0, 31, 42, 0, 0, 0, 32, 35, 0, 0, 1, 32, 41, -1, 0, 0, 33, 37, 1, 0, 1, 33, 40, 1, -1, 1, 34, 35, 1, 0, 1, 34, 43, 0, 0, 0, 36, 44, 0, 0, 0, 38, 45, 0, 0, 0, 39, 44, -1, 1, -1, 40, 46, 0, 0, 0, 41, 47, 0, 0, 0, 42, 45, 0, 1, 0, 42, 47, -1, 0, 0, 43, 45, 1, 0, 0, 43, 46, 1, -1, 1, 44, 48, 0, 0, 0, 46, 48, -1, 1, -1, 47, 48, 0, 1, 0)

Geometric data

Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Systre coordinates favouring equal edge-lengths

Hyperbolic sources

h-nets with faithful topology

1 record listed.

Image	h-net name	Orbifold symbol	Transitivity (Vert,Edge,Face)	Vertex Degree	2D Vertex Symbol
	hqc38	*246	(1,2,2)	{3}	{6.8.8}

h-nets with edge collapse

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