U-tiling: UQC1415
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc718 |
*4444 |
(2,3,4) |
{4,16} |
{4.4.8.4}{4.4.4.8.4.4.4.8.4.4.4.... |
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
|
|
sqc1148
|
|
P4/mmm |
123 |
tetragonal |
{4,12} |
5 |
(2,3) |
|
G
|
False
|
|
sqc2034
|
|
I-42m |
121 |
tetragonal |
{4,16} |
5 |
(2,4) |
Topological data
| Vertex degrees | {4,16} |
| 2D vertex symbol | {4.4.8.4}{4.4.4.8.4.4.4.8.4.4.4.8.4.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.2:64:9 10 5 6 15 16 13 14 33 34 21 22 39 40 41 42 29 30 47 48 37 38 45 46 57 58 53 54 63 64 61 62,17 3 20 7 54 24 25 11 28 15 62 32 19 23 30 27 31 49 35 52 39 46 56 57 43 60 47 64 51 55 59 63,2 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 64:4 4 8 4 4 4 4,4 16 4 4 4> {(1, 24): 't1', (0, 41): 't3*tau2*t1^-1', (1, 23): 't2^-1', (1, 48): 't3^-1', (1, 59): 't3^-1*tau2^-1*t3^-1', (0, 47): 't3*tau2*t1^-1', (1, 31): 'tau3^-1', (1, 56): 't3^-1*tau2^-1*t3^-1', (1, 55): 'tau1^-1', (0, 40): 't3*tau2*t1^-1', (1, 27): 't1', (1, 51): 't3^-1', (1, 61): 't3^-1*tau2^-1*t1', (0, 46): 't3*tau2*t1^-1', (1, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', }