h-net: hqc6

Topological data

Orbifold symbol	*248
Transitivity (vertex, edge, ring)	(1,1,1)
Vertex degrees	{8}
2D vertex symbol	{4.4.4.4.4.4.4.4}
Vertex coordination sequence	[(8, 48, 280, 1632, 9512, 55440)]
Delaney-Dress Symbol	<6.1:1:1,1,1:4,8>
Dual net	hqc12

Derived s-nets

s-nets with faithful topology

15 records listed.

Image	s-net name	Other names	Space group	Space group number	Symmetry class	Vertex degree(s)	Vertices per primitive unit cell	Transitivity (Vertex, Edge)
	sqc104		Pmmm	47	orthorhombic	{8}	2	(1,5)
	sqc1712		P42/nnm	134	tetragonal	{8}	4	(1,3)
	sqc3	bcu	Im-3m	229	cubic	{8}	1	(1,1)
	sqc1624		I4122	98	tetragonal	{8}	4	(1,3)
	sqc1627		C2/c	15	monoclinic	{8,8}	4	(2,5)
	sqc1649		Ia-3	206	cubic	{8}	4	(1,2)
	sqc1676		I4122	98	tetragonal	{8}	4	(1,3)
	sqc1776		C2/c	15	monoclinic	{8}	4	(1,5)
	sqc1801		Fddd	70	orthorhombic	{8}	4	(1,3)
	sqc1878		Fddd	70	orthorhombic	{8}	4	(1,3)
	sqc2		Pmmm	47	orthorhombic	{8}	1	(1,3)
	sqc90		P42/mmc	131	tetragonal	{8}	2	(1,3)
	sqc165		P4222	93	tetragonal	{8}	2	(1,3)
	sqc166	lsz	P42/nnm	134	tetragonal	{8}	2	(1,2)
	sqc1679		I41/amd	141	tetragonal	{8}	4	(1,3)

s-nets with edge collapse

show / hide

Derived U-tilings

8 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC7	*2224	(1,2,1)	{8}	{4.4.4.4.4.4.4.4}	sqc1	sqc3	sqc166
	UQC21	*22222a	(1,3,2)	{8}	{4.4.4.4.4.4.4.4}	sqc464	sqc1624	sqc90
	UQC22	*22222a	(1,3,2)	{8}	{4.4.4.4.4.4.4.4}	sqc1	sqc1676	sqc165
	UQC23	*22222b	(1,3,2)	{8}	{4.4.4.4.4.4.4.4}	sqc1	sqc1801	sqc2
	UQC24	*22222b	(1,3,2)	{8}	{4.4.4.4.4.4.4.4}	sqc44	sqc1878	sqc1
	UQC46	*222222a	(1,5,4)	{8}	{4.4.4.4.4.4.4.4}	sqc104	sqc1776	sqc49
	UQC420	*222222a	(2,5,2)	{8,8}	{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}	sqc1712	sqc1649	sqc1679
	UQC705	*222222a	(2,5,3)	{8,8}	{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}	sqc52	sqc1627	sqc798

Symmetry-lowered hyperbolic tilings

show / hide