U-tiling: UQC5672
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2243 |
*22222 |
(5,6,2) |
{4,4,4,6,4} |
{7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.... |
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
|
|
sqc11282
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,6,4} |
24 |
(5,6) |
G
|
False
|
|
sqc11423
|
|
I4122 |
98 |
tetragonal |
{4,4,4,6,4} |
24 |
(5,7) |
D
|
False
|
|
sqc6011
|
|
P4222 |
93 |
tetragonal |
{4,4,4,6,4} |
12 |
(5,6) |
Topological data
Vertex degrees | {4,4,4,6,4} |
2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.3.7.3.3}{3.3.3.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.2:208:53 3 5 7 9 11 13 66 16 18 20 22 24 26 79 29 31 33 35 37 39 105 42 44 46 48 50 52 55 57 59 61 63 65 68 70 72 74 76 78 81 83 85 87 89 91 157 94 96 98 100 102 104 107 109 111 113 115 117 170 120 122 124 126 128 130 183 133 135 137 139 141 143 196 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 4 6 59 10 13 12 15 17 19 72 23 26 25 28 30 32 85 36 39 38 41 43 45 111 49 52 51 54 56 58 62 65 64 67 69 71 75 78 77 80 82 84 88 91 90 93 95 97 163 101 104 103 106 108 110 114 117 116 119 121 123 176 127 130 129 132 134 136 189 140 143 142 145 147 149 202 153 156 155 158 160 162 166 169 168 171 173 175 179 182 181 184 186 188 192 195 194 197 199 201 205 208 207,118 28 29 17 18 8 9 23 24 38 39 92 41 42 21 22 51 52 144 43 44 34 35 49 50 131 47 48 170 80 81 95 96 60 61 101 102 90 91 157 106 107 121 122 73 74 127 128 116 117 196 134 135 86 87 140 141 132 133 99 100 142 143 183 147 148 112 113 153 154 145 146 125 126 155 156 138 139 151 152 184 185 173 174 164 165 179 180 194 195 197 198 177 178 207 208 199 200 190 191 205 206 203 204:7 3 7 3 7 3 7 3 3 3 3 7 3 3 7 3 7 3 7 3 3 3 3 3,4 4 4 6 4 4 6 4 4 4 4 4 4 4 4 4 4 6 4 6 4 4 4 4> {(2, 61): 't3', (2, 62): 't3', (2, 191): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 184): 't1*tau3*t2^-1', (2, 185): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 186): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 180): 't2^-1*tau3*t1', (2, 181): 't2^-1*tau3*t1', (2, 182): 't1', (2, 183): 't1*tau3*t2^-1', (2, 48): 't1', (2, 49): 't1', (2, 178): 'tau1', (2, 179): 'tau1', (2, 172): 'tau1', (2, 173): 'tau1', (2, 105): 'tau3*t2^-1', (2, 127): 't2^-1', (2, 168): 't3^-1*tau2^-1', (2, 170): 't3*tau2', (2, 171): 't3*tau2', (2, 56): 't3', (2, 167): 't3^-1*tau2^-1', (0, 39): 't1', (2, 28): 't1^-1', (1, 201): 't1^-1', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 154): 'tau3^-1*t2', (2, 155): 'tau3^-1*t2', (2, 53): 't3*tau2', (2, 146): 'tau3^-1', (2, 147): 'tau3^-1', (2, 140): 'tau2', (2, 141): 'tau2*t3', (2, 142): 'tau2*t3', (2, 143): 't1', (0, 143): 't1', (2, 139): 'tau2', (2, 133): 'tau2', (2, 134): 'tau2', (2, 54): 't3*tau2', (2, 126): 't2^-1', (2, 55): 't3', (2, 120): 't2^-1', (2, 121): 't2^-1', (2, 43): 't1', (1, 45): 't1', (2, 50): 't1', (2, 106): 'tau3*t2^-1', (2, 51): 't1', (2, 27): 't1^-1', (2, 205): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 42): 't1'}