U-tiling: UQC2170
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1710 |
*22222 |
(2,5,4) |
{3,5} |
{4.8.6}{6.8.4.4.8} |
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
|
|
sqc3880
|
|
Fmmm |
69 |
orthorhombic |
{3,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc10316
|
|
Fddd |
70 |
orthorhombic |
{5,3,3} |
24 |
(3,6) |
|
D
|
False
|
|
sqc693
|
|
Pmmm |
47 |
orthorhombic |
{3,5} |
6 |
(2,5) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.8.6}{6.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.5:176:23 101 102 6 7 96 97 54 55 34 123 124 17 18 118 119 65 66 145 146 28 29 140 141 76 77 167 168 39 40 162 163 87 88 67 112 113 50 51 129 130 78 90 91 61 62 107 108 156 157 72 73 173 174 134 135 83 84 151 152 133 94 95 131 132 144 105 106 120 121 155 116 117 166 127 128 138 139 175 176 149 150 164 165 160 161 171 172,2 4 16 8 11 10 13 15 19 22 21 24 26 38 30 33 32 35 37 41 44 43 46 48 60 52 55 54 57 59 63 66 65 68 70 82 74 77 76 79 81 85 88 87 90 92 115 96 99 98 101 103 126 107 110 109 112 114 118 121 120 123 125 129 132 131 134 136 159 140 143 142 145 147 170 151 154 153 156 158 162 165 164 167 169 173 176 175,12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 78 69 71 73 75 77 80 82 84 86 88 111 91 93 95 97 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 155 135 137 139 141 143 166 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 8 6 4 4 8 4 8 6 4 8 4 4 4 6 6,5 3 3 5 3 3 5 3 3 5 3 3 5 3 5 3 3 3 5 3 5 3 3 3> {(2, 110): 'tau1^-1', (0, 29): 'tau2^-1', (0, 41): 'tau3', (0, 173): 'tau3', (0, 31): 't1^-1', (0, 43): 't1^-1', (0, 1): 't3', (1, 114): 'tau1^-1', (0, 32): 't1^-1', (0, 45): 't2^-1', (0, 150): 'tau2^-1', (0, 12): 't2', (0, 57): 't3^-1', (1, 125): 'tau1', (0, 175): 'tau3*t1*tau2^-1', (0, 164): 'tau3^-1*t1^-1*tau2', (0, 154): 't2^-1', (2, 154): 't2^-1*tau1^-1*t3', (0, 163): 'tau3^-1*t1^-1*tau2', (2, 121): 'tau1', (0, 40): 'tau3', (0, 30): 'tau2^-1', (0, 13): 't2', (0, 42): 't1^-1', (0, 151): 'tau2^-1', (0, 141): 'tau2*t1^-1*tau3^-1', (2, 165): 't2*tau1*t3^-1', (0, 172): 'tau3', (0, 2): 't3', (0, 143): 't3', (0, 56): 't3^-1', (0, 165): 't2', (0, 46): 't2^-1', (1, 158): 't2^-1*tau1^-1*t3', (0, 132): 't3^-1', (1, 169): 't2*tau1*t3^-1', }