U-tiling: UQC2225
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1734 |
*222222 |
(2,6,4) |
{8,6} |
{4.3.4.4.4.4.3.4}{3.4.4.3.4.4} |
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
|
|
sqc2267
|
|
Pmmm |
47 |
orthorhombic |
{5,6} |
6 |
(2,6) |
|
G
|
False
|
|
sqc4236
|
|
I212121 |
24 |
orthorhombic |
{6,8} |
6 |
(2,7) |
|
D
|
False
|
|
sqc641
|
|
P222 |
16 |
orthorhombic |
{8,6} |
3 |
(2,6) |
Topological data
| Vertex degrees | {8,6} |
| 2D vertex symbol | {4.3.4.4.4.4.3.4}{3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<86.1:88:23 4 5 28 29 52 53 54 33 34 15 16 39 40 63 64 65 44 26 27 74 75 76 37 38 85 86 87 67 48 49 72 73 77 78 59 60 83 84 88 70 71 81 82,2 47 6 9 8 11 13 58 17 20 19 22 24 69 28 31 30 33 35 80 39 42 41 44 46 50 53 52 55 57 61 64 63 66 68 72 75 74 77 79 83 86 85 88,12 3 5 7 19 10 22 14 16 18 21 34 25 27 29 41 32 44 36 38 40 43 56 47 49 51 63 54 66 58 60 62 65 78 69 71 73 85 76 88 80 82 84 87:4 3 4 4 4 3 4 4 3 3 4 4,6 8 6 8 8 8> {(1, 57): 'tau3^-1', (0, 41): 't3*tau1^-1*t2^-1*tau3*t1', (0, 62): 't1', (1, 46): 't2^-1', (1, 68): 'tau1*t3^-1', (2, 76): 't3*tau2', (0, 55): 't1', (2, 43): 'tau2^-1*t3^-1', (0, 20): 'tau3', (0, 42): 't3*tau1^-1*t2^-1*tau3*t1', (2, 21): 't1^-1', (0, 63): 'tau3^-1', (0, 30): 't3*tau1^-1', (2, 77): 't1^-1*tau3^-1*t2', (0, 52): 't2^-1', (2, 44): 't2^-1*tau3', (2, 40): 'tau2^-1*t3^-1', (0, 60): 't1', (2, 84): 'tau2^-1*t3^-1', (0, 31): 't3*tau1^-1', (0, 53): 't2^-1', (0, 43): 'tau2^-1*t1', (2, 18): 't1^-1', (1, 79): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 32): 't3', (0, 61): 't1', (0, 87): 'tau2^-1*t3^-1*tau1*t2', (0, 54): 't2^-1*tau1^-1', }