U-tiling: UQC5537
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2207 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7.... |
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
|
False
|
|
sqc14555
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc6090
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc6089
|
|
Imma |
74 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {3,4,4,4,4} |
| 2D vertex symbol | {6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7.7}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<126.2:104:27 3 5 7 9 62 12 39 40 16 18 20 22 88 25 52 29 31 33 35 101 38 42 44 46 48 75 51 92 55 57 59 61 64 104 79 68 70 72 74 77 91 81 83 85 87 90 94 96 98 100 103,2 11 56 6 8 10 13 15 24 82 19 21 23 26 28 37 95 32 34 36 39 41 50 69 45 47 49 52 54 63 58 60 62 65 67 76 71 73 75 78 80 89 84 86 88 91 93 102 97 99 101 104,53 4 5 32 33 60 61 75 37 38 26 79 17 18 45 46 86 87 101 50 51 92 30 31 99 100 88 52 66 43 44 73 74 62 56 57 97 98 102 103 91 69 70 84 85 89 90 104 82 83 95 96:6 7 6 7 7 7 6 6,3 4 4 4 4 3 4 4 4 3 3 4 4 4> {(2, 61): 't3', (0, 61): 't3*tau2', (2, 52): 't3*tau2', (0, 51): 't1', (0, 48): 'tau2*t3', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 35): 'tau3^-1*t2', (2, 39): 'tau2*t3', (0, 38): 't1', (0, 39): 't1', (2, 35): 't2^-1', (0, 26): 't1', (2, 26): 'tau3^-1*t2', (1, 94): 't2^-1*tau3', (1, 81): 't2*tau3^-1', (2, 22): 't2', (0, 22): 'tau3*t2^-1', (2, 13): 'tau3*t2^-1', (2, 9): 't3', (1, 68): 't3^-1*tau2^-1', (1, 55): 't3*tau2', (2, 103): 'tau1', (0, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (2, 90): 'tau1^-1', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3'}