U-tiling: UQC7
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc6 |
*248 |
(1,1,1) |
{8} |
{4.4.4.4.4.4.4.4} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
True
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
G
|
False
|
|
sqc3
|
bcu
|
Im-3m |
229 |
cubic |
{8} |
1 |
(1,1) |
D
|
False
|
|
sqc166
|
lsz
|
P42/nnm |
134 |
tetragonal |
{8} |
2 |
(1,2) |
Topological data
Vertex degrees | {8} |
2D vertex symbol | {4.4.4.4.4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:64:5 4 7 8 13 16 17 20 22 21 26 25 29 28 35 36 41 40 43 38 49 51 52 50 57 54 59 56 61 63 62 64,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,9 24 11 28 13 30 17 36 32 38 42 47 40 50 55 34 59 52 33 63 44 39 43 45 51 53 57 56 54 61 64 62:4 4 4 4 4 4 4 4,8 8 8 8> {(2, 60): 't2', (0, 59): 't3*tau1^-1', (0, 56): 't3^-1', (0, 57): 't3^-1*tau1', (2, 57): 'tau2*t1^-1*tau3^-1*t2', (2, 59): 'tau2^-1*t1*tau3*t2^-1', (0, 48): 't2^-1', (0, 55): 'tau1', (0, 53): 'tau1^-1', (0, 40): 't3^-1', (0, 46): 't3^-1', (2, 43): 'tau3^-1', (0, 33): 't2^-1', (0, 39): 't3^-1', (2, 29): 't1', (0, 24): 't2', (2, 24): 't2', (2, 13): 'tau2^-1', (2, 21): 'tau2^-1', (2, 17): 'tau3', (0, 20): 't3', (0, 11): 't2', (0, 9): 't3', (2, 7): 't1^-1'}