U-tiling: UQC2233
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1736 |
*222222 |
(2,6,4) |
{8,3} |
{4.3.8.4.4.8.3.4}{3.8.8} |
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
|
|
sqc274
|
|
Pmmm |
47 |
orthorhombic |
{6,3} |
4 |
(2,5) |
|
G
|
False
|
|
sqc4235
|
|
I212121 |
24 |
orthorhombic |
{3,8} |
8 |
(2,7) |
|
D
|
False
|
|
sqc674
|
|
P222 |
16 |
orthorhombic |
{3,8} |
4 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.3.8.4.4.8.3.4}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<84.1:88:23 4 5 50 51 19 20 21 55 34 15 16 61 62 66 26 27 72 73 41 42 43 77 37 38 83 84 88 67 48 49 63 64 65 78 59 60 70 71 85 86 87 81 82,2 14 6 9 8 11 13 17 20 19 22 24 36 28 31 30 33 35 39 42 41 44 46 58 50 53 52 55 57 61 64 63 66 68 80 72 75 74 77 79 83 86 85 88,12 3 5 7 30 10 33 14 16 18 41 21 44 34 25 27 29 32 36 38 40 43 56 47 49 51 74 54 77 58 60 62 85 65 88 78 69 71 73 76 80 82 84 87:8 3 4 4 8 3 4 4 3 3,3 8 8 3 3 8 8 3> {(1, 57): 'tau3^-1*t2', (0, 18): 't1^-1', (0, 84): 'tau2^-1*t3^-1', (0, 74): 't2^-1*tau3*t1', (0, 55): 't1', (2, 43): 'tau2^-1*t1', (2, 87): 'tau2^-1*t3^-1*tau1*t2', (2, 54): 't2^-1*tau1^-1', (2, 32): 't3', (0, 63): 'tau3^-1*t2', (2, 77): 't1^-1*tau3^-1*t2', (2, 62): 't2^-1*tau1^-1*t3*tau2', (2, 40): 'tau2^-1*t1', (2, 29): 't3', (0, 53): 't2^-1*tau3', (2, 55): 'tau3^-1*t2', (0, 60): 't1', (2, 51): 't2^-1*tau1^-1', (0, 43): 't3*tau1^-1*t2^-1*tau3*t1', (1, 79): 't1^-1*tau3^-1*t2', (0, 32): 't3*tau1^-1', (0, 86): 't1^-1*tau3^-1*t2', (0, 61): 't1', (0, 40): 'tau2^-1*t3^-1', (0, 21): 'tau3', (0, 54): 't2^-1', }