U-tiling: UQC2258
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1741 |
*222222 |
(2,6,4) |
{5,6} |
{4.4.6.4.4}{4.4.4.4.6.6} |
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
|
|
sqc2926
|
|
Pmmm |
47 |
orthorhombic |
{5,4} |
8 |
(2,6) |
|
G
|
False
|
|
sqc4283
|
|
I212121 |
24 |
orthorhombic |
{6,5} |
8 |
(2,7) |
|
D
|
False
|
|
sqc685
|
|
P222 |
16 |
orthorhombic |
{5,6} |
4 |
(2,6) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.4.6.4.4}{4.4.4.4.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<92.1:88:23 4 5 28 29 19 31 32 55 34 15 16 39 40 42 43 66 26 27 41 77 37 38 88 67 48 49 72 73 63 75 76 78 59 60 83 84 86 87 70 71 85 81 82,2 9 48 6 8 11 13 20 59 17 19 22 24 31 70 28 30 33 35 42 81 39 41 44 46 53 50 52 55 57 64 61 63 66 68 75 72 74 77 79 86 83 85 88,12 3 5 7 52 10 22 14 16 18 63 21 34 25 27 29 74 32 44 36 38 40 85 43 56 47 49 51 54 66 58 60 62 65 78 69 71 73 76 88 80 82 84 87:6 4 4 4 6 4 4 4 4 4,6 5 5 6 5 5 6 6> {(0, 41): 'tau2^-1*t1', (0, 18): 't1^-1', (2, 77): 't1^-1*tau3^-1*t2', (0, 84): 'tau2^-1*t3^-1', (2, 76): 't2^-1*tau3*t1', (0, 55): 't1', (2, 44): 't2^-1*tau3', (2, 54): 't2^-1*tau3', (0, 38): 'tau2^-1*t1', (0, 63): 't2^-1*tau1^-1*t3*tau2', (0, 30): 't3', (1, 14): 't1^-1', (0, 52): 't2^-1*tau1^-1', (0, 42): 'tau2^-1*t1', (2, 62): 't1', (0, 27): 't3', (0, 49): 't2^-1*tau1^-1', (0, 39): 'tau2^-1*t1', (0, 60): 't2^-1*tau1^-1*t3*tau2', (0, 31): 't3', (0, 53): 't2^-1*tau1^-1', (0, 43): 't3*tau1^-1*t2^-1*tau3*t1', (0, 32): 't3*tau1^-1', (0, 86): 'tau2^-1*t3^-1*tau1*t2', (0, 61): 't2^-1*tau1^-1*t3*tau2', (0, 28): 't3', (0, 50): 't2^-1*tau1^-1', (0, 40): 'tau2^-1*t3^-1', (0, 21): 'tau3', (0, 54): 't2^-1', }