U-tiling: UQC5730
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2264 |
*2244 |
(5,6,2) |
{4,4,4,8,4} |
{7.3.3.7}{7.7.3.3}{3.3.3.3}{7.7.... |
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
|
|
sqc4723
|
|
P4/mmm |
123 |
tetragonal |
{4,4,6,4} |
11 |
(4,6) |
|
G
|
False
|
|
sqc11321
|
|
I41/a |
88 |
tetragonal |
{4,4,4,8,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc11333
|
|
I41/amd |
141 |
tetragonal |
{4,4,4,8,4} |
24 |
(5,6) |
Topological data
| Vertex degrees | {4,4,4,8,4} |
| 2D vertex symbol | {7.3.3.7}{7.7.3.3}{3.3.3.3}{7.7.7.7.7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<60.1:208:79 3 5 7 9 11 13 92 16 18 20 22 24 26 105 29 31 33 35 37 39 131 42 44 46 48 50 52 144 55 57 59 61 63 65 118 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 196 159 161 163 165 167 169 183 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 10 6 9 8 12 91 15 23 19 22 21 25 104 28 36 32 35 34 38 117 41 49 45 48 47 51 143 54 62 58 61 60 64 156 67 75 71 74 73 77 130 80 88 84 87 86 90 93 101 97 100 99 103 106 114 110 113 112 116 119 127 123 126 125 129 132 140 136 139 138 142 145 153 149 152 151 155 158 166 162 165 164 168 208 171 179 175 178 177 181 195 184 192 188 191 190 194 197 205 201 204 203 207,14 4 5 19 20 86 87 88 89 38 39 17 18 99 100 101 102 51 52 53 30 31 58 59 112 113 114 115 66 43 44 71 72 138 139 140 141 56 57 151 152 153 154 181 182 69 70 125 126 127 128 207 208 92 82 83 97 98 129 130 95 96 155 156 144 108 109 149 150 168 169 131 121 122 136 137 134 135 194 195 147 148 183 160 161 188 189 203 204 205 206 196 173 174 201 202 190 191 192 193 186 187 199 200:7 3 7 3 7 3 7 3 7 3 7 3 3 3 3 3 3 3 7 3 7 3 3 3,4 4 4 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 188): 'tau1^-1', (2, 189): 't2*tau3^-1*t1^-1*tau2*t3', (2, 190): 't2*tau3^-1*t1^-1*tau2*t3', (2, 191): 't2*tau3^-1*t1^-1*tau2*t3', (2, 57): 't3^-1', (2, 58): 't3^-1', (2, 187): 'tau1^-1', (2, 52): 't3^-1', (2, 182): 'tau1^-1', (2, 179): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 44): 't2', (2, 45): 't2', (2, 174): 'tau1^-1', (2, 175): 'tau1^-1', (2, 169): 'tau1^-1', (2, 164): 't3*tau2*t1^-1*tau3^-1*t2', (2, 165): 't3*tau2*t1^-1*tau3^-1*t2', (2, 166): 't3*tau2*t1^-1*tau3^-1*t2', (2, 39): 't2', (2, 33): 'tau2^-1*t3^-1', (2, 34): 'tau2^-1*t3^-1', (2, 163): 't3*tau2*t1^-1*tau3^-1*t2', (2, 152): 'tau2*t3', (2, 153): 'tau2*t3', (2, 148): 't3^-1', (2, 149): 't3^-1', (2, 150): 'tau2*t3', (2, 151): 'tau2*t3', (2, 140): 't2*tau3^-1', (2, 143): 't3^-1', (2, 136): 't2', (2, 137): 't2*tau3^-1', (2, 138): 't2*tau3^-1', (2, 139): 't2*tau3^-1', (2, 8): 't1^-1', (2, 135): 't2', (2, 35): 'tau2^-1*t3^-1', (2, 130): 't2', (2, 9): 't1^-1', (2, 124): 'tau3^-1*t2', (2, 125): 'tau3^-1*t2', (2, 126): 'tau3^-1*t2', (2, 127): 'tau3^-1*t2', (2, 10): 't1^-1', (2, 23): 't1^-1', (2, 7): 't1^-1', (2, 36): 'tau2^-1*t3^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1'}