U-tiling: UQC5356
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
|
False
|
|
sqc11207
|
|
P4/mmm |
123 |
tetragonal |
{4,3,3,4,4} |
28 |
(5,6) |
G
|
False
|
|
sqc11203
|
|
I4122 |
98 |
tetragonal |
{4,3,3,4,4} |
28 |
(5,7) |
D
|
False
|
|
sqc5060
|
|
P4222 |
93 |
tetragonal |
{3,3,4,4,4} |
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
<68.3:192:109 3 5 7 9 11 24 85 15 17 19 21 23 133 27 29 31 33 35 48 121 39 41 43 45 47 157 51 53 55 57 59 96 145 63 65 67 69 71 120 181 75 77 79 81 83 132 87 89 91 93 95 169 99 101 103 105 107 144 111 113 115 117 119 123 125 127 129 131 135 137 139 141 143 147 149 151 153 155 168 159 161 163 165 167 171 173 175 177 179 192 183 185 187 189 191,2 4 113 18 8 10 12 14 16 89 20 22 24 26 28 137 42 32 34 36 38 40 125 44 46 48 50 52 161 90 56 58 60 62 64 149 114 68 70 72 74 76 185 126 80 82 84 86 88 92 94 96 98 100 173 138 104 106 108 110 112 116 118 120 122 124 128 130 132 134 136 140 142 144 146 148 162 152 154 156 158 160 164 166 168 170 172 186 176 178 180 182 184 188 190 192,25 14 15 6 7 116 117 58 59 36 37 18 19 92 93 70 71 48 38 39 30 31 140 141 82 83 42 43 128 129 106 107 73 86 87 54 55 164 165 84 97 110 111 66 67 152 153 108 122 123 78 79 188 189 121 90 91 154 155 132 134 135 102 103 176 177 133 114 115 166 167 144 126 127 178 179 138 139 190 191 169 158 159 150 151 180 181 162 163 192 182 183 174 175 186 187:5 7 5 5 7 5 5 7 5 7 5 7 5 7 7 7,4 3 3 4 4 3 4 4 3 3 4 3 4 4 3 3 4 3 3 3 3 4 3 3 4 4 3 3> {(2, 60): 't2*tau3^-1', (0, 59): 't3', (2, 190): 't1^-1', (2, 191): 't1^-1*tau3^-1*t2', (1, 125): 'tau2', (0, 191): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 189): 't1^-1', (2, 180): 'tau2^-1*t3^-1', (2, 181): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 182): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 176): 't1', (2, 62): 't2', (2, 50): 't3', (2, 179): 'tau2*t3', (2, 45): 't1', (2, 46): 't1', (2, 175): 't1', (2, 168): 't1*tau3*t2^-1', (2, 37): 't1', (0, 35): 't1^-1', (2, 38): 't1', (1, 101): 'tau3', (1, 100): 't1^-1', (2, 157): 'tau1', (0, 24): 't1^-1', (2, 24): 't1^-1', (2, 146): 'tau1^-1', (0, 167): 'tau1', (2, 140): 't1', (2, 61): 't2', (2, 143): 'tau3^-1*t2', (2, 139): 't1', (1, 65): 't2', (2, 133): 'tau3^-1', (2, 134): 'tau3^-1', (2, 131): 'tau2*t3', (1, 185): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 121): 'tau2', (2, 122): 'tau2', (2, 48): 't3*tau2', (1, 53): 't3', (0, 119): 't2^-1', (2, 49): 't3', (1, 41): 't1', (0, 107): 'tau3', (1, 161): 'tau1', (0, 96): 't1^-1', (1, 28): 't1^-1', (0, 83): 'tau2^-1', (2, 47): 't1'}