U-tiling: UQC5539
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
|
|
sqc6101
|
|
Cmma |
67 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
|
G
|
False
|
|
sqc5883
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc5886
|
|
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
<126.3:104:53 3 5 7 9 75 12 65 79 16 18 20 22 101 25 91 92 29 31 33 35 88 38 104 66 42 44 46 48 62 51 78 55 57 59 61 64 68 70 72 74 77 81 83 85 87 90 94 96 98 100 103,2 11 69 6 8 10 13 15 24 95 19 21 23 26 28 37 82 32 34 36 39 41 50 56 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 99 101 104,66 4 5 19 20 34 35 62 24 25 39 92 17 18 47 48 88 52 79 30 31 45 46 101 50 51 53 43 44 75 56 57 84 85 99 100 89 90 104 69 70 97 98 86 87 102 103 91 82 83 95 96:6 7 6 7 6 7 6 7,3 4 4 4 4 3 4 3 4 3 4 4 4 4> {(2, 62): 'tau1', (2, 63): 'tau1', (2, 57): 'tau1', (2, 58): 'tau1', (0, 61): 't3', (2, 52): 't3', (0, 51): 'tau2*t3', (0, 52): 't3*tau2', (2, 51): 't1', (0, 35): 't2^-1', (2, 38): 't1', (0, 38): 'tau3^-1*t2', (0, 39): 'tau2*t3', (0, 26): 'tau3^-1*t2', (0, 25): 'tau3*t2^-1', (2, 26): 't2^-1', (1, 94): 't2^-1', (1, 81): 't2', (0, 22): 't2', (2, 13): 't2', (0, 9): 't3', (0, 12): 'tau2^-1*t3^-1', (0, 13): 'tau3*t2^-1', (2, 0): 't3', (1, 68): 't3^-1', (1, 55): 't3', (2, 101): 'tau1', (2, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 96): 'tau1', (2, 97): 'tau1', (2, 90): 't2*tau3^-1*t1^-1*tau2*t3', (2, 76): 'tau1^-1'}