U-tiling: UQC5750
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2332 |
*22222 |
(5,7,2) |
{4,4,4,4,4} |
{8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.... |
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
|
False
|
|
sqc6860
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
G
|
False
|
|
sqc11957
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
D
|
False
|
|
sqc1223
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4} |
7 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,4,4} |
2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.3:224:113 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 6 14 10 13 12 16 18 20 28 24 27 26 30 32 34 42 38 41 40 44 46 48 56 52 55 54 58 60 62 70 66 69 68 72 74 76 84 80 83 82 86 88 90 98 94 97 96 100 102 104 112 108 111 110 114 116 118 126 122 125 124 128 130 132 140 136 139 138 142 144 146 154 150 153 152 156 158 160 168 164 167 166 170 172 174 182 178 181 180 184 186 188 196 192 195 194 198 200 202 210 206 209 208 212 214 216 224 220 223 222,57 16 17 32 33 8 9 38 39 138 139 140 71 46 47 22 23 52 53 166 167 168 85 44 45 36 37 194 195 196 99 50 51 222 223 224 72 73 88 89 64 65 94 95 152 153 154 102 103 78 79 108 109 124 125 126 100 101 92 93 208 209 210 106 107 180 181 182 155 142 143 172 173 120 121 178 179 141 156 157 186 187 134 135 192 193 200 201 148 149 206 207 214 215 162 163 220 221 211 198 199 176 177 197 212 213 190 191 204 205 218 219:8 3 8 3 8 3 8 3 8 3 8 3 8 3 8 3 3 3 3 3 3 3 3 3,4 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): 't3', (2, 184): 't3*tau1^-1*t2^-1', (2, 185): 't3', (2, 186): 't3', (2, 125): 't3', (2, 182): 'tau2^-1*t1*tau3', (2, 183): 't3*tau1^-1*t2^-1', (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, 171): 't3^-1', (2, 164): 't2^-1', (2, 165): 't2^-1', (2, 166): 't2^-1', (2, 167): 't2^-1', (2, 163): 't2^-1', (2, 156): 'tau1', (2, 157): 't2^-1', (2, 158): 't2^-1', (2, 152): 't2', (2, 153): 't2', (0, 28): 'tau2^-1', (2, 155): 'tau1', (2, 149): 't2', (2, 150): 't2', (2, 151): 't2', (2, 144): 't2', (2, 42): 't1^-1', (2, 141): 'tau1^-1', (2, 142): 'tau1^-1', (2, 143): 't2', (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', (2, 172): 't3^-1', (0, 84): 'tau3^-1'}