U-tiling: UQC2724
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2137 |
*2244 |
(2,6,5) |
{5,3} |
{4.4.3.8.8}{3.4.4} |
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
|
|
sqc11518
|
|
P42/mmc |
131 |
tetragonal |
{3,5} |
24 |
(2,6) |
G
|
False
|
|
sqc11524
|
|
I-42d |
122 |
tetragonal |
{3,5,5} |
24 |
(3,7) |
D
|
False
|
|
sqc6028
|
|
P-42m |
111 |
tetragonal |
{5,3} |
12 |
(2,6) |
Topological data
Vertex degrees | {3,5} |
2D vertex symbol | {4.4.3.8.8}{3.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<53.1:208:105 4 5 110 111 21 22 36 37 90 91 118 17 18 123 124 49 50 103 104 131 30 31 136 137 60 61 51 52 144 43 44 149 150 73 74 157 56 57 162 163 88 89 77 78 170 69 70 175 176 101 102 183 82 83 188 189 99 100 196 95 96 201 202 108 109 125 126 140 141 194 195 121 122 153 154 207 208 134 135 164 165 155 156 147 148 177 178 160 161 192 193 181 182 173 174 205 206 186 187 203 204 199 200,2 81 6 13 8 10 12 15 94 19 26 21 23 25 28 42 32 39 34 36 38 41 45 52 47 49 51 54 68 58 65 60 62 64 67 71 78 73 75 77 80 84 91 86 88 90 93 97 104 99 101 103 106 185 110 117 112 114 116 119 198 123 130 125 127 129 132 146 136 143 138 140 142 145 149 156 151 153 155 158 172 162 169 164 166 168 171 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,79 3 5 7 9 11 13 92 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 183 107 109 111 113 115 117 196 120 122 124 126 128 130 144 133 135 137 139 141 143 146 148 150 152 154 156 170 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208:4 3 4 8 8 4 3 4 3 4 4 4 4 3 4 4 4 4 3 8 8 3 3 3,3 5 3 5 3 5 5 3 5 5 5 5 3 5 3 5 3 5 5 3 5 5 5 5> {(0, 179): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 139): 't2^-1', (0, 62): 't3', (0, 129): 't1^-1*tau2*t3', (0, 74): 't3*tau2*t3', (0, 140): 't2^-1', (0, 24): 't1^-1*tau2*t3', (0, 48): 't1', (0, 166): 'tau1', (0, 191): 'tau1^-1', (0, 101): 't3^-1*tau2^-1*t3^-1', (0, 46): 't1*tau2^-1*t3^-1', (0, 49): 't1', (2, 117): 't1^-1*tau2*t3', (0, 176): 't3*tau2*t1^-1', (0, 126): 'tau3', (0, 47): 't1*tau2^-1*t3^-1', (1, 93): 't3^-1*tau2^-1*t1', (0, 61): 't3', (1, 119): 't1^-1*tau2*t3', (0, 127): 'tau3', (0, 178): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 13): 't1^-1*tau2*t3', (0, 128): 't1^-1*tau2*t3', (0, 177): 't3*tau2*t1^-1', (0, 25): 't1^-1*tau2*t3', }