U-tiling: UQC5723
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2259 |
*2244 |
(5,6,2) |
{4,4,4,8,4} |
{7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.... |
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
|
|
sqc11280
|
|
P42/mmc |
131 |
tetragonal |
{3,4,4,8,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11422
|
|
I-42d |
122 |
tetragonal |
{4,4,4,8,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5991
|
|
P-42m |
111 |
tetragonal |
{4,4,4,8,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {4,4,4,8,4} |
| 2D vertex symbol | {7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.3.3.3.3.3.3}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.1:208:79 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 98 100 102 104 183 107 109 111 113 115 117 196 120 122 124 126 128 130 144 133 135 137 139 141 143 146 148 150 152 154 156 170 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 4 12 8 11 10 91 15 17 25 21 24 23 104 28 30 38 34 37 36 52 41 43 51 47 50 49 54 56 64 60 63 62 78 67 69 77 73 76 75 80 82 90 86 89 88 93 95 103 99 102 101 106 108 116 112 115 114 195 119 121 129 125 128 127 208 132 134 142 138 141 140 156 145 147 155 151 154 153 158 160 168 164 167 166 182 171 173 181 177 180 179 184 186 194 190 193 192 197 199 207 203 206 205,105 15 16 6 7 21 22 36 37 38 39 118 19 20 49 50 51 52 131 54 55 32 33 60 61 144 67 68 45 46 73 74 157 58 59 88 89 90 91 170 71 72 101 102 103 104 183 93 94 84 85 99 100 196 97 98 119 120 110 111 125 126 140 141 142 143 123 124 153 154 155 156 158 159 136 137 164 165 171 172 149 150 177 178 162 163 192 193 194 195 175 176 205 206 207 208 197 198 188 189 203 204 201 202:7 3 7 3 7 3 3 7 3 3 3 3 7 3 7 3 7 3 3 7 3 3 3 3,4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4> {(2, 61): 't3', (2, 62): 't3', (2, 63): 't3', (2, 180): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 181): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 48): 't1', (2, 177): 't3*tau2*t1^-1', (2, 178): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 179): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 46): 't1*tau2^-1*t3^-1', (2, 47): 't1*tau2^-1*t3^-1', (2, 40): 't1*tau2^-1*t3^-1', (2, 41): 't1*tau2^-1*t3^-1', (2, 170): 't3*tau2*t1^-1', (2, 171): 't3*tau2*t1^-1', (2, 165): 'tau1', (2, 166): 'tau1', (2, 167): 'tau1', (1, 103): 't3^-1*tau2^-1*t1', (2, 49): 't1', (2, 24): 't1^-1', (2, 25): 't1^-1', (2, 154): 'tau3^-1', (2, 155): 'tau3^-1', (2, 140): 't2^-1', (2, 141): 't2^-1', (2, 142): 't2^-1', (1, 207): 't3^-1*tau2^-1*t1', (0, 13): 't1^-1*tau2*t3', (2, 126): 'tau3', (2, 127): 'tau3', (2, 176): 't3*tau2*t1^-1', (2, 139): 't2^-1', (0, 117): 't1^-1*tau2*t3', (2, 100): 't3^-1*tau2^-1*t3^-1', (2, 101): 't3^-1*tau2^-1*t3^-1', (2, 103): 't3^-1*tau2^-1*t3^-1', (2, 90): 't3^-1', (2, 76): 't3*tau2*t3', (2, 194): 'tau1^-1'}