U-tiling: UQC5532
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2205 |
*222222 |
(5,7,2) |
{4,4,3,4,4} |
{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8.... |
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
|
|
sqc4734
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,3,3} |
14 |
(5,7) |
|
G
|
False
|
|
sqc5904
|
|
I212121 |
24 |
orthorhombic |
{4,4,3,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc1081
|
|
P222 |
16 |
orthorhombic |
{4,4,4,3,4} |
7 |
(5,7) |
Topological data
| Vertex degrees | {4,4,3,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<124.1:104:14 3 5 7 9 36 12 39 16 18 20 22 49 25 52 40 29 31 33 35 38 42 44 46 48 51 66 55 57 59 61 88 64 91 68 70 72 74 101 77 104 92 81 83 85 87 90 94 96 98 100 103,2 4 18 8 11 10 13 15 17 21 24 23 26 28 30 44 34 37 36 39 41 43 47 50 49 52 54 56 70 60 63 62 65 67 69 73 76 75 78 80 82 96 86 89 88 91 93 95 99 102 101 104,27 54 55 6 7 60 61 23 24 25 65 40 67 68 19 20 73 74 78 80 81 32 33 86 87 49 50 51 91 93 94 45 46 99 100 104 79 58 59 75 76 77 92 71 72 84 85 101 102 103 97 98:5 8 8 5 5 8 8 5,4 4 3 4 4 4 4 4 3 4 4 4 3 3> {(2, 62): 't2^-1*tau3', (2, 63): 't2^-1*tau3', (0, 61): 't2^-1*tau1^-1', (0, 51): 'tau2^-1*t1', (0, 48): 'tau2^-1*t1', (2, 48): 'tau2^-1*t3^-1', (0, 52): 't2^-1*tau3', (2, 51): 't3*tau1^-1*t2^-1*tau3*t1', (0, 35): 't3', (2, 38): 't3*tau1^-1', (0, 38): 't3', (2, 25): 'tau3', (1, 95): 't1^-1*tau3^-1*t2', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 12): 't2', (2, 14): 't1^-1', (2, 15): 't1^-1', (1, 69): 'tau3^-1*t2', (2, 100): 'tau2^-1*t3^-1', (2, 101): 't1^-1*tau3^-1*t2', (2, 102): 't1^-1*tau3^-1*t2', (0, 90): 'tau1*t2', (2, 91): 't1^-1', (0, 74): 't2^-1*tau1^-1*t3*tau2', (0, 78): 't2^-1*tau3*t1', (0, 77): 't2^-1*tau1^-1*t3*tau2'}