U-tiling: UQC3010
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1923 |
*2244 |
(2,5,6) |
{8,4} |
{4.4.4.3.3.3.4.4}{3.3.4.3} |
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
|
False
|
|
sqc4800
|
|
P4/mmm |
123 |
tetragonal |
{4,8} |
8 |
(2,5) |
|
G
|
False
|
|
sqc10747
|
|
I-42d |
122 |
tetragonal |
{4,8} |
16 |
(2,6) |
|
D
|
False
|
|
sqc5090
|
|
P-42m |
111 |
tetragonal |
{8,4} |
8 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.3.3.3.4.4}{3.3.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<123.1:192:25 26 5 6 79 80 105 106 23 24 37 38 17 18 91 92 117 118 29 30 43 44 129 130 59 60 41 42 141 142 71 72 73 74 53 54 67 68 153 154 85 86 65 66 165 166 77 78 177 178 95 96 89 90 189 190 121 122 101 102 175 176 119 120 133 134 113 114 187 188 125 126 139 140 155 156 137 138 167 168 169 170 149 150 163 164 181 182 161 162 173 174 191 192 185 186,73 3 76 29 7 9 11 36 85 15 88 41 19 21 23 48 37 27 40 31 33 35 39 43 45 47 61 51 64 77 55 57 59 84 63 89 67 69 71 96 75 79 81 83 87 91 93 95 169 99 172 125 103 105 107 132 181 111 184 137 115 117 119 144 133 123 136 127 129 131 135 139 141 143 157 147 160 173 151 153 155 180 159 185 163 165 167 192 171 175 177 179 183 187 189 191,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192:4 3 3 4 4 4 3 3 4 3 4 4 4 3 3 4 3 4 4 3 3 4 3 3 3 3 3 3,4 8 4 8 4 4 8 8 4 8 4 8 4 4 8 8> {(0, 167): 't3*tau2*t1^-1', (0, 157): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 70): 't3*tau2*t1^-1', (0, 60): 't3*tau2*t3', (1, 108): 't1^-1*tau2*t3', (0, 18): 't1^-1*tau2*t3', (1, 112): 'tau3', (1, 184): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 121): 't2^-1', (1, 15): 't1^-1*tau2*t3', (1, 191): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 40): 't1', (1, 83): 't3^-1', (1, 124): 't2^-1', (0, 47): 't1*tau2^-1*t3^-1', (1, 64): 't3*tau2*t3', (1, 47): 't1', (0, 187): 't3^-1*tau2^-1*t1', (0, 36): 't1', (0, 145): 'tau1', (1, 95): 't3^-1*tau2^-1*t3^-1', (0, 48): 't3', (0, 61): 't3*tau2*t3', (0, 166): 't3*tau2*t1^-1', (0, 19): 't1^-1*tau2*t3', (1, 172): 'tau1^-1', (1, 76): 't3^-1', (1, 119): 'tau3', (0, 168): 'tau1^-1', (0, 180): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 111): 't1^-1*tau2*t3', (1, 179): 'tau1^-1', (0, 109): 'tau3', (1, 84): 't3^-1*tau2^-1*t1', (0, 120): 't2^-1', (0, 37): 't1', (1, 107): 't2', (0, 132): 'tau3^-1', (0, 49): 't3', (0, 186): 't3^-1*tau2^-1*t1', }