U-tiling: UQC5783
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
|
False
|
|
sqc6893
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
G
|
False
|
|
sqc11969
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
D
|
False
|
|
sqc6707
|
|
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
<28.3:224:113 3 5 7 9 11 13 126 141 17 19 21 23 25 27 154 169 31 33 35 37 39 41 182 197 45 47 49 51 53 55 210 155 59 61 63 65 67 69 168 127 73 75 77 79 81 83 140 211 87 89 91 93 95 97 224 183 101 103 105 107 109 111 196 115 117 119 121 123 125 129 131 133 135 137 139 143 145 147 149 151 153 157 159 161 163 165 167 171 173 175 177 179 181 185 187 189 191 193 195 199 201 203 205 207 209 213 215 217 219 221 223,2 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 96 100 102 112 106 111 108 110 114 116 126 120 125 122 124 128 130 140 134 139 136 138 142 144 154 148 153 150 152 156 158 168 162 167 164 166 170 172 182 176 181 178 180 184 186 196 190 195 192 194 198 200 210 204 209 206 208 212 214 224 218 223 220 222,57 16 17 6 7 22 23 38 39 138 139 140 71 20 21 52 53 166 167 168 85 44 45 34 35 50 51 194 195 196 99 48 49 222 223 224 72 73 62 63 78 79 94 95 152 153 154 76 77 108 109 124 125 126 100 101 90 91 106 107 208 209 210 104 105 180 181 182 155 142 143 118 119 148 149 178 179 141 156 157 132 133 162 163 192 193 146 147 206 207 160 161 220 221 211 198 199 174 175 204 205 197 212 213 188 189 218 219 202 203 216 217:6 4 6 4 6 4 6 4 6 4 6 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 4 4 4 4 4 4> {(2, 189): 't3*tau1^-1*t2^-1', (2, 190): 't3*tau1^-1*t2^-1', (2, 191): 't3', (2, 184): 't3*tau1^-1*t2^-1', (2, 42): 't1^-1', (2, 125): 't3', (2, 182): 'tau2^-1*t1*tau3', (2, 183): 't3*tau1^-1*t2^-1', (2, 176): 't3^-1*tau1*t2', (0, 55): 'tau3', (2, 178): 't3^-1', (0, 42): 'tau3', (0, 41): 'tau2^-1', (2, 168): 'tau2*t1^-1*tau3^-1', (2, 169): 't3^-1*tau1*t2', (2, 170): 't3^-1*tau1*t2', (2, 164): 't2^-1', (2, 165): 't2^-1', (2, 166): 't2^-1', (2, 167): 't2^-1', (2, 161): 'tau1', (2, 162): 'tau1', (2, 163): 't2^-1', (2, 156): 'tau1', (2, 152): 't2', (2, 153): 't2', (0, 28): 'tau2^-1', (2, 155): 'tau1', (2, 148): 'tau1^-1', (2, 149): 't2', (2, 150): 't2', (2, 151): 't2', (2, 147): 'tau1^-1', (2, 141): 'tau1^-1', (2, 142): 'tau1^-1', (2, 136): 't3^-1', (2, 137): 't3^-1', (2, 138): 't3^-1', (2, 139): 't3^-1', (2, 124): 't3', (2, 28): 't1^-1', (2, 123): 't3', (2, 177): 't3^-1', (0, 111): 'tau2', (0, 98): 'tau2', (0, 97): 'tau3^-1', (0, 84): 'tau3^-1', (2, 175): 't3^-1*tau1*t2'}