U-tiling: UQC5357
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2026 |
*22222 |
(5,6,2) |
{4,3,3,4,4} |
{5.5.5.5}{5.7.5}{5.7.7}{7.7.7.7}... |
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
|
|
sqc10693
|
|
P4/mmm |
123 |
tetragonal |
{4,3,3,4,3} |
28 |
(5,6) |
G
|
False
|
|
sqc10862
|
|
I4122 |
98 |
tetragonal |
{4,3,3,4,4} |
28 |
(5,7) |
D
|
False
|
|
sqc4894
|
|
P4222 |
93 |
tetragonal |
{4,3,3,4,4} |
14 |
(5,6) |
Topological data
Vertex degrees | {4,3,3,4,4} |
2D vertex symbol | {5.5.5.5}{5.7.5}{5.7.7}{7.7.7.7}{7.7.7.7} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<68.5:192:13 3 5 7 9 11 60 15 17 19 21 23 72 37 27 29 31 33 35 84 39 41 43 45 47 108 85 51 53 55 57 59 109 63 65 67 69 71 121 75 77 79 81 83 87 89 91 93 95 156 133 99 101 103 105 107 111 113 115 117 119 168 123 125 127 129 131 180 135 137 139 141 143 192 157 147 149 151 153 155 159 161 163 165 167 181 171 173 175 177 179 183 185 187 189 191,2 4 17 54 8 10 12 14 16 66 20 22 24 26 28 41 78 32 34 36 38 40 102 44 46 48 50 52 89 56 58 60 62 64 113 68 70 72 74 76 125 80 82 84 86 88 150 92 94 96 98 100 137 104 106 108 110 112 162 116 118 120 122 124 174 128 130 132 134 136 186 140 142 144 146 148 161 152 154 156 158 160 164 166 168 170 172 185 176 178 180 182 184 188 190 192,25 50 51 6 7 20 21 34 35 120 37 62 63 18 19 46 47 96 74 75 30 31 44 45 144 98 99 42 43 132 73 54 55 92 93 82 83 168 97 66 67 116 117 106 107 156 78 79 128 129 192 121 146 147 90 91 130 131 102 103 140 141 180 133 158 159 114 115 142 143 170 171 126 127 182 183 138 139 169 150 151 164 165 178 179 181 162 163 190 191 174 175 188 189 186 187:5 7 7 5 7 7 5 5 5 7 5 7 7 7 5 5,4 3 3 4 4 4 3 4 3 3 3 3 4 4 3 4 4 3 4 3 3 4 3 3 3 3 4 3> {(2, 188): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 189): 'tau2^-1*t3^-1', (2, 190): 'tau2^-1*t3^-1', (2, 56): 't3', (1, 124): 'tau2', (0, 60): 't2', (2, 187): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 180): 't1^-1*tau3^-1*t2', (1, 112): 't2^-1', (0, 48): 't3', (2, 55): 't3', (2, 177): 't1*tau3*t2^-1', (2, 178): 't1*tau3*t2^-1', (2, 179): 't1', (2, 44): 't1', (2, 36): 't1', (2, 168): 'tau2*t3', (0, 47): 't1', (2, 43): 't1', (2, 164): 'tau1', (2, 37): 't1', (2, 38): 't1', (1, 101): 't1^-1', (1, 100): 'tau3', (0, 36): 't1', (2, 163): 'tau1', (1, 88): 't3^-1', (2, 58): 't3*tau2', (0, 156): 'tau1', (2, 34): 't1^-1', (2, 140): 'tau3^-1', (2, 143): 't1', (2, 9): 't1', (2, 181): 't1^-1', (2, 132): 'tau3^-1*t2', (2, 134): 't1', (2, 128): 'tau2', (0, 143): 't1', (1, 185): 't1^-1', (1, 184): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 120): 'tau2', (2, 127): 'tau2', (2, 120): 'tau2*t3', (2, 116): 't2^-1', (2, 115): 't2^-1', (0, 180): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 106): 'tau3*t2^-1', (1, 160): 'tau1', (0, 96): 'tau3', (2, 103): 'tau3', (1, 28): 't1^-1', (2, 69): 't2*tau3^-1', (2, 57): 't3*tau2'}