U-tiling: UQC1600
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1264 |
*222222 |
(2,6,4) |
{6,8} |
{4.4.4.4.4.4}{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
|
|
sqc1511
|
|
Pmmm |
47 |
orthorhombic |
{5,5} |
6 |
(2,6) |
|
G
|
False
|
|
sqc3186
|
|
I212121 |
24 |
orthorhombic |
{8,6} |
6 |
(2,6) |
|
D
|
False
|
|
sqc346
|
|
P222 |
16 |
orthorhombic |
{6,8} |
3 |
(2,6) |
Topological data
| Vertex degrees | {6,8} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.1:80:21 42 43 5 46 47 18 19 30 31 52 53 15 56 57 40 62 63 25 66 67 38 39 72 73 35 76 77 61 45 58 59 70 71 55 80 65 78 79 75,2 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 66 68 70 72 74 76 78 80,11 3 44 45 7 9 50 13 54 55 17 19 60 31 23 64 65 27 29 70 33 74 75 37 39 80 51 43 47 49 53 57 59 71 63 67 69 73 77 79:4 4 4 4 4 4 4 4 4 4,8 6 6 8 6 6> {(2, 33): 't3*tau1^-1*t2^-1*tau3*t1', (0, 29): 't3', (2, 53): 'tau3^-1', (0, 18): 't1^-1', (0, 55): 't1', (2, 43): 't2^-1', (0, 12): 't1^-1', (0, 78): 'tau2^-1*t3^-1', (0, 59): 't2^-1*tau1^-1*t3*tau2', (2, 54): 'tau3^-1', (0, 38): 'tau2^-1*t3^-1', (2, 24): 't3*tau1^-1', (2, 50): 'tau3^-1*t2', (2, 44): 't2^-1', (0, 56): 't1', (2, 29): 't3*tau1^-1', (0, 49): 't2^-1*tau1^-1', (0, 39): 'tau2^-1*t1', (2, 63): 'tau1*t3^-1', (2, 34): 't3*tau1^-1*t2^-1*tau3*t1', (0, 7): 't1', (2, 49): 't2^-1', (2, 59): 'tau3^-1', (0, 50): 't1', (0, 11): 't1^-1', (2, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 77): 'tau2^-1*t3^-1', (0, 37): 'tau2^-1*t3^-1', (2, 60): 't2^-1*tau3*t1', }