U-tiling: UQC1698
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1284 |
*222222 |
(2,5,4) |
{8,4} |
{4.4.3.6.6.3.4.4}{3.6.3.6} |
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
|
|
sqc230
|
|
Pmmm |
47 |
orthorhombic |
{7,4} |
3 |
(2,4) |
|
G
|
False
|
|
sqc3157
|
|
I212121 |
24 |
orthorhombic |
{8,4} |
6 |
(2,6) |
|
D
|
False
|
|
sqc393
|
|
P222 |
16 |
orthorhombic |
{8,4} |
3 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.3.6.6.3.4.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<70.1:80:21 42 43 14 15 8 9 50 31 52 53 18 19 60 62 63 34 35 28 29 70 72 73 38 39 80 61 54 55 48 49 71 58 59 74 75 68 69 78 79,2 4 6 10 18 29 12 14 16 20 39 22 24 26 30 38 32 34 36 40 42 44 46 50 58 69 52 54 56 60 79 62 64 66 70 78 72 74 76 80,11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 51 43 45 47 49 60 53 55 57 59 71 63 65 67 69 80 73 75 77 79:4 4 3 6 4 6 4 3 3 3,8 4 8 8 4 8> {(0, 29): 't3*tau1^-1', (0, 51): 't1', (1, 77): 'tau2^-1*t3^-1', (1, 17): 't1^-1', (1, 68): 'tau1*t2', (1, 37): 'tau2^-1*t3^-1', (0, 12): 't1^-1', (0, 34): 'tau2^-1*t3^-1', (0, 59): 'tau3^-1', (0, 63): 't3*tau2', (2, 50): 'tau3^-1*t2', (0, 64): 't3*tau2', (0, 13): 't1^-1', (1, 28): 't3', (0, 49): 't2^-1', (0, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 14): 't1^-1', (2, 59): 'tau3^-1*t2', (2, 79): 't1^-1*tau3^-1*t2', (0, 50): 't1', (1, 58): 't2^-1*tau1^-1*t3*tau2', (0, 33): 'tau2^-1*t3^-1', (1, 38): 'tau2^-1*t1', (2, 60): 't2^-1*tau3*t1', }