U-tiling: UQC1799
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1345 |
*22222 |
(2,5,4) |
{5,5} |
{4.3.6.3.4}{3.6.4.4.6} |
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) |
|
G
|
False
|
|
sqc9678
|
|
Fddd |
70 |
orthorhombic |
{5,5} |
16 |
(2,6) |
|
D
|
False
|
|
sqc14621
|
|
Pmmm |
47 |
orthorhombic |
{5,5} |
4 |
(2,5) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {4.3.6.3.4}{3.6.4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.5:160:21 92 93 6 7 48 49 90 31 112 113 16 17 58 59 110 132 133 26 27 68 69 130 152 153 36 37 78 79 150 61 102 103 46 47 120 71 82 83 56 57 100 142 143 66 67 160 122 123 76 77 140 121 86 87 118 119 131 96 97 108 109 141 106 107 151 116 117 126 127 158 159 136 137 148 149 146 147 156 157,2 4 15 96 8 10 12 14 116 18 20 22 24 35 136 28 30 32 34 156 38 40 42 44 55 106 48 50 52 54 86 58 60 62 64 75 146 68 70 72 74 126 78 80 82 84 105 88 90 92 94 115 98 100 102 104 108 110 112 114 118 120 122 124 145 128 130 132 134 155 138 140 142 144 148 150 152 154 158 160,11 3 5 7 9 100 13 15 17 19 120 31 23 25 27 29 140 33 35 37 39 160 51 43 45 47 49 110 53 55 57 59 90 71 63 65 67 69 150 73 75 77 79 130 101 83 85 87 89 111 93 95 97 99 103 105 107 109 113 115 117 119 141 123 125 127 129 151 133 135 137 139 143 145 147 149 153 155 157 159:4 3 6 4 4 3 4 3 6 4 3 4 4 3 4 3 3 3 6 6,5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5> {(0, 39): 'tau3', (2, 150): 't2*tau1*t3^-1', (0, 29): 'tau2^-1', (0, 51): 't3^-1', (0, 41): 't2^-1', (1, 85): 't3', (0, 159): 'tau3', (0, 11): 't2', (2, 120): 't3^-1*tau1*t2', (0, 148): 'tau3^-1*t1^-1*tau2', (2, 49): 't2^-1', (1, 104): 'tau1^-1', (0, 150): 't2', (0, 12): 't2', (1, 124): 't3^-1*tau1*t2', (2, 100): 'tau1^-1', (2, 99): 't3^-1', (1, 95): 't3^-1', (1, 114): 'tau1', (2, 59): 't3^-1', (0, 38): 't1^-1', (0, 147): 'tau3^-1*t1^-1*tau2', (0, 28): 't1^-1', (0, 127): 'tau2*t1^-1*tau3^-1', (0, 91): 't3^-1', (0, 158): 'tau3*t1*tau2^-1', (0, 139): 'tau2^-1', (0, 52): 't3^-1', (0, 42): 't2^-1', (2, 90): 'tau1^-1', (1, 154): 't2*tau1*t3^-1', (1, 115): 't2^-1', (1, 105): 't2', (0, 2): 't3', (0, 120): 't3^-1', (0, 37): 't1^-1', (0, 90): 't3^-1', (0, 27): 't1^-1', (2, 119): 't2^-1', (0, 140): 't2^-1', }