U-tiling: UQC5393
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2052 |
*22222 |
(5,5,2) |
{3,6,4,4,4} |
{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5.... |
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
|
|
sqc5431
|
|
Fmmm |
69 |
orthorhombic |
{6,4,4,3,4} |
12 |
(5,5) |
G
|
False
|
|
sqc11076
|
|
Fddd |
70 |
orthorhombic |
{3,6,4,4,4} |
24 |
(5,6) |
D
|
False
|
|
sqc5155
|
|
Cmma |
67 |
orthorhombic |
{4,3,4,4,6} |
12 |
(5,5) |
Topological data
Vertex degrees | {3,6,4,4,4} |
2D vertex symbol | {4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.5:192:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,13 26 5 12 7 9 11 38 17 24 19 21 23 37 29 36 31 33 35 41 48 43 45 47 61 74 53 60 55 57 59 86 65 72 67 69 71 85 77 84 79 81 83 89 96 91 93 95 121 146 101 108 103 105 107 133 158 113 120 115 117 119 170 125 132 127 129 131 182 137 144 139 141 143 169 149 156 151 153 155 181 161 168 163 165 167 173 180 175 177 179 185 192 187 189 191,3 4 17 18 55 56 105 106 119 120 15 16 67 68 129 130 143 144 27 28 41 42 79 80 153 154 167 168 39 40 91 92 177 178 191 192 51 52 65 66 141 142 131 132 63 64 117 118 107 108 75 76 89 90 189 190 179 180 87 88 165 166 155 156 99 100 125 126 139 140 111 112 137 138 127 128 123 124 135 136 147 148 173 174 187 188 159 160 185 186 175 176 171 172 183 184:4 5 5 5 5 4 5 5 5 5 4 5 4 5 5 5 5 5 5 5,3 6 4 4 4 6 4 4 3 4 4 4 4 4 3 6 6 3 3 4 3 3 4 3> {(1, 121): 't2', (1, 120): 'tau1^-1', (2, 184): 't2*tau1*t3^-1', (2, 185): 't2*tau1*t3^-1', (2, 58): 't2^-1', (2, 187): 'tau3*t1*tau2^-1', (2, 176): 'tau3^-1', (2, 177): 'tau3^-1', (2, 164): 'tau2^-1', (2, 174): 'tau3^-1*t1^-1*tau2', (2, 175): 'tau3^-1*t1^-1*tau2', (1, 109): 't3^-1', (1, 108): 'tau1^-1', (2, 42): 't1^-1', (2, 43): 't1^-1', (1, 97): 't3', (2, 165): 'tau2^-1', (2, 32): 'tau2^-1', (2, 33): 'tau2^-1', (2, 30): 't1^-1', (2, 31): 't1^-1', (2, 186): 'tau3*t1*tau2^-1', (2, 148): 't3^-1*tau1*t2', (2, 149): 't3^-1*tau1*t2', (2, 22): 't2', (2, 23): 't2', (2, 136): 'tau1', (2, 137): 'tau1', (2, 10): 't3', (2, 11): 't3', (2, 131): 't2', (2, 124): 'tau1^-1', (2, 125): 'tau1^-1', (1, 181): 't2', (1, 180): 't2*tau1*t3^-1', (1, 168): 't2^-1*tau1^-1*t3', (2, 106): 't3', (2, 107): 't3', (2, 189): 'tau3', (2, 80): 'tau3^-1'}