U-tiling: UQC70
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc31 |
*488 |
(2,1,1) |
{4,8} |
{16.16.16.16}{16.16.16.16.16.16.... |
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
|
|
sqc11
|
fsc
|
P4/mmm |
123 |
tetragonal |
{6,4} |
2 |
(2,2) |
|
G
|
False
|
|
sqc169
|
flu
|
Fm-3m |
225 |
cubic |
{4,8} |
3 |
(2,1) |
|
D
|
False
|
|
sqc168
|
epx
|
I-4m2 |
119 |
tetragonal |
{4,8,4} |
3 |
(3,2) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {16.16.16.16}{16.16.16.16.16.16.16.16}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:32:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32,5 3 12 7 16 17 11 21 15 19 28 23 32 29 27 31,9 10 27 28 13 14 31 32 15 16 25 26 23 24 29 30:16,4 8 4> {(2, 28): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 29): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 30): 't3^-1*tau2^-1*t1', (2, 31): 't3^-1*tau2^-1*t1', (2, 24): 'tau1^-1', (2, 25): 'tau1^-1', (1, 31): 't3^-1*tau2^-1*t3^-1', (1, 27): 't3^-1', (1, 20): 't3*tau2*t1^-1', (2, 12): 'tau3^-1', (2, 13): 'tau3^-1', (2, 8): 't2^-1', (2, 9): 't2^-1', (1, 15): 't1'}