U-tiling: UQC2515
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1917 |
*22222 |
(2,5,5) |
{5,4} |
{4.6.3.4.4}{3.6.3.6} |
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
|
|
sqc5334
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
10 |
(2,4) |
|
G
|
False
|
|
sqc10822
|
|
I4122 |
98 |
tetragonal |
{4,5,5} |
20 |
(3,6) |
|
D
|
False
|
|
sqc5200
|
|
P4222 |
93 |
tetragonal |
{5,4} |
10 |
(2,5) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {4.6.3.4.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.4:192:3 4 29 30 115 116 57 58 35 36 15 16 41 42 91 92 69 70 47 48 27 28 139 140 81 82 39 40 127 128 105 106 51 52 77 78 163 164 83 84 63 64 101 102 151 152 107 108 75 76 187 188 87 88 125 126 153 154 131 132 99 100 175 176 111 112 137 138 165 166 143 144 123 124 177 178 135 136 189 190 147 148 173 174 179 180 159 160 185 186 191 192 171 172 183 184,25 14 5 12 7 9 11 37 17 24 19 21 23 38 29 36 31 33 35 41 48 43 45 47 73 86 53 60 55 57 59 97 110 65 72 67 69 71 122 77 84 79 81 83 121 89 96 91 93 95 134 101 108 103 105 107 133 113 120 115 117 119 125 132 127 129 131 137 144 139 141 143 169 158 149 156 151 153 155 181 161 168 163 165 167 182 173 180 175 177 179 185 192 187 189 191,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192:3 6 4 4 4 3 4 4 4 4 4 3 6 4 3 6 4 3 4 3 4 3 6 3,4 5 5 5 5 4 5 4 5 5 5 5 5 5 5 4 5 5 5 5> {(0, 103): 't1^-1', (1, 85): 't3^-1', (1, 24): 't1^-1', (0, 179): 'tau2*t3', (0, 188): 't1^-1', (0, 31): 't1^-1', (0, 53): 't3*tau2', (0, 190): 't1^-1*tau3^-1*t2', (0, 148): 't2*tau3^-1*t1^-1', (0, 101): 'tau3*t2^-1', (1, 37): 't1', (0, 45): 't1', (0, 131): 'tau2*t3', (0, 185): 'tau2^-1*t3^-1', (0, 47): 't1', (1, 157): 'tau1', (0, 5): 't1', (0, 142): 'tau3^-1*t2', (1, 97): 'tau3', (1, 121): 'tau2', (1, 181): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 189): 't1^-1', (0, 102): 't1^-1', (0, 28): 't1^-1', (0, 178): 'tau2*t3', (0, 191): 't1^-1*tau3^-1*t2', (1, 109): 't2^-1', (0, 149): 't2*tau3^-1*t1^-1', (0, 30): 't1^-1', (0, 52): 't3*tau2', (1, 168): 't1*tau3*t2^-1', (0, 64): 't2*tau3^-1', (0, 44): 't1', (0, 130): 'tau2*t3', (0, 143): 'tau3^-1*t2', (0, 184): 'tau2^-1*t3^-1', (1, 96): 'tau3*t2^-1', (0, 46): 't1', (1, 48): 't3*tau2', (1, 180): 'tau2^-1*t3^-1', }