U-tiling: UQC5776
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2337 |
*22222 |
(5,7,2) |
{4,4,4,4,4} |
{6.6.6.6}{6.4.4.6}{6.6.4.4}{4.4.... |
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
|
|
sqc6219
|
|
Fmmm |
69 |
orthorhombic |
{4,4,3,4,4} |
14 |
(5,7) |
G
|
False
|
|
sqc11833
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
D
|
False
|
|
sqc6936
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,4,4} |
2D vertex symbol | {6.6.6.6}{6.4.4.6}{6.6.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.5:224:15 3 5 7 9 11 13 28 17 19 21 23 25 27 43 31 33 35 37 39 41 56 45 47 49 51 53 55 71 59 61 63 65 67 69 84 73 75 77 79 81 83 99 87 89 91 93 95 97 112 101 103 105 107 109 111 141 115 117 119 121 123 125 154 155 129 131 133 135 137 139 168 143 145 147 149 151 153 157 159 161 163 165 167 197 171 173 175 177 179 181 210 211 185 187 189 191 193 195 224 199 201 203 205 207 209 213 215 217 219 221 223,2 4 14 8 13 10 12 16 18 28 22 27 24 26 30 32 42 36 41 38 40 44 46 56 50 55 52 54 58 60 70 64 69 66 68 72 74 84 78 83 80 82 86 88 98 92 97 94 96 100 102 112 106 111 108 110 114 116 126 120 125 122 124 128 130 140 134 139 136 138 142 144 154 148 153 150 152 156 158 168 162 167 164 166 170 172 182 176 181 178 180 184 186 196 190 195 192 194 198 200 210 204 209 206 208 212 214 224 218 223 220 222,29 128 129 6 7 134 135 122 123 68 69 70 43 156 157 20 21 162 163 150 151 82 83 84 184 185 34 35 190 191 178 179 96 97 98 212 213 48 49 218 219 206 207 110 111 112 85 142 143 62 63 148 149 164 165 99 114 115 76 77 120 121 136 137 198 199 90 91 204 205 220 221 170 171 104 105 176 177 192 193 169 118 119 166 167 168 183 132 133 152 153 154 197 146 147 211 160 161 174 175 222 223 224 188 189 208 209 210 202 203 216 217:6 4 4 6 4 4 6 4 4 6 4 4 6 4 6 4 4 4 6 4 6 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 191): 'tau2^-1', (2, 180): 'tau2*t1^-1*tau3^-1', (2, 181): 'tau2*t1^-1*tau3^-1', (2, 182): 't3', (2, 55): 't1^-1', (0, 182): 't3*tau1^-1*t2^-1', (2, 177): 'tau2', (2, 178): 'tau2', (2, 179): 'tau2*t1^-1*tau3^-1', (0, 168): 't3^-1*tau1*t2', (2, 168): 't3^-1', (2, 41): 't1^-1', (2, 120): 't3', (2, 39): 't1^-1', (2, 161): 't2^-1', (2, 162): 't2^-1', (2, 156): 't2^-1', (2, 154): 't2^-1', (2, 155): 't2^-1', (2, 148): 't2', (2, 147): 't2', (2, 140): 't2', (2, 141): 't2', (2, 142): 't2', (2, 53): 't1^-1', (2, 133): 't3^-1', (2, 134): 't3^-1', (2, 128): 't3^-1', (2, 54): 't1^-1', (0, 126): 'tau1^-1', (0, 125): 'tau1', (0, 112): 'tau1', (2, 119): 't3', (2, 113): 't3', (2, 114): 't3', (0, 167): 'tau1', (2, 220): 'tau3', (0, 223): 't2*tau1*t3^-1', (2, 219): 'tau3', (0, 209): 't2^-1*tau1^-1*t3', (2, 208): 'tau3^-1*t1^-1*tau2', (2, 209): 'tau3^-1*t1^-1*tau2', (2, 1): 't3', (2, 205): 'tau3^-1', (2, 206): 'tau3^-1', (2, 207): 'tau3^-1*t1^-1*tau2', (2, 40): 't1^-1', (2, 192): 'tau2^-1'}