U-tiling: UQC4135
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1444 |
*222222 |
(3,6,2) |
{8,4,4} |
{6.4.4.6.6.4.4.6}{6.6.4.4}{6.6.6.6} |
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
|
|
sqc2264
|
|
Pmmm |
47 |
orthorhombic |
{6,4,3} |
8 |
(3,6) |
|
G
|
False
|
|
sqc3338
|
|
I212121 |
24 |
orthorhombic |
{8,4,4} |
8 |
(3,7) |
|
D
|
False
|
|
sqc364
|
|
P222 |
16 |
orthorhombic |
{8,4,4} |
4 |
(3,6) |
Topological data
| Vertex degrees | {8,4,4} |
| 2D vertex symbol | {6.4.4.6.6.4.4.6}{6.6.4.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.1:80:11 3 5 16 17 9 20 13 15 19 31 23 25 36 37 29 40 33 35 39 51 43 45 56 57 49 60 53 55 59 71 63 65 76 77 69 80 73 75 79,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80,21 4 5 46 27 28 29 50 31 14 15 56 37 38 39 60 24 25 66 70 34 35 76 80 61 44 45 67 68 69 71 54 55 77 78 79 64 65 74 75:6 4 6 4 6 4 6 4,8 4 4 8 4 4 4 4> {(0, 59): 'tau3^-1*t2', (2, 56): 't2^-1*tau1^-1*t3*tau2', (2, 57): 't2^-1*tau1^-1*t3*tau2', (2, 58): 't2^-1*tau1^-1*t3*tau2', (2, 59): 'tau3^-1', (0, 50): 'tau3^-1*t2', (2, 48): 't2^-1*tau1^-1', (2, 49): 't2^-1', (2, 50): 't1', (2, 46): 't2^-1*tau1^-1', (2, 47): 't2^-1*tau1^-1', (2, 37): 'tau2^-1*t1', (2, 36): 'tau2^-1*t1', (0, 35): 'tau2^-1*t3^-1', (2, 38): 'tau2^-1*t1', (2, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 36): 'tau2^-1*t3^-1', (2, 29): 't3*tau1^-1', (0, 60): 't2^-1*tau3*t1', (2, 26): 't3', (2, 27): 't3', (0, 16): 't1^-1', (2, 15): 't1^-1', (2, 8): 't3^-1', (0, 5): 't1', (0, 75): 'tau2^-1*t3^-1', (0, 66): 't3*tau2', (0, 69): 't2^-1*tau3*t1'}