U-tiling: UQC2447
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1622 |
*2244 |
(2,5,5) |
{7,4} |
{4.8.3.3.3.8.4}{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
|
|
sqc4136
|
|
P4/mmm |
123 |
tetragonal |
{7,4} |
8 |
(2,5) |
|
G
|
False
|
|
sqc10147
|
|
I41/a |
88 |
tetragonal |
{7,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc10148
|
|
I41/amd |
141 |
tetragonal |
{7,4} |
16 |
(2,5) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.8.3.3.3.8.4}{3.3.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<119.1:176:12 68 69 26 27 8 9 76 77 79 80 37 38 19 20 87 88 45 90 91 30 31 98 99 56 112 113 41 42 120 121 123 124 147 148 52 53 131 132 101 102 169 170 63 64 109 110 78 103 104 74 75 125 126 85 86 122 136 137 96 97 111 107 108 158 159 118 119 129 130 155 167 168 140 141 175 176 166 156 157 151 152 164 165 162 163 173 174,2 4 6 73 30 10 33 13 15 17 84 41 21 44 24 26 28 95 32 35 37 39 117 43 46 48 50 128 151 54 154 57 59 61 106 173 65 176 68 70 72 107 76 110 79 81 83 129 87 132 90 92 94 140 98 143 101 103 105 109 112 114 116 162 120 165 123 125 127 131 134 136 138 172 142 145 147 149 161 153 156 158 160 164 167 169 171 175,67 3 5 7 9 11 78 14 16 18 20 22 89 25 27 29 31 33 111 36 38 40 42 44 122 47 49 51 53 55 100 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 166 135 137 139 141 143 155 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 8 3 3 4 8 3 3 4 4 3 4 3 3 3 3 3 3 3 3 3 4 3 3,7 4 7 4 7 7 7 4 7 4 4 4 4 4 7 7> {(0, 1): 't1^-1', (0, 55): 't2^-1', (0, 45): 't3^-1*tau2^-1', (0, 12): 't1^-1', (0, 121): 't3^-1', (0, 34): 'tau3*t2^-1', (0, 154): 'tau1^-1', (0, 166): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 23): 'tau2^-1*t3^-1', (0, 13): 't1^-1', (0, 35): 'tau3*t2^-1', (0, 2): 't1^-1', (0, 56): 't2^-1*tau3', (0, 46): 't3^-1*tau2^-1', (0, 155): 't2*tau3^-1*t1^-1*tau2*t3', (0, 167): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 57): 't2^-1*tau3', (0, 24): 'tau2^-1*t3^-1', (0, 156): 't2*tau3^-1*t1^-1*tau2*t3', (0, 44): 't3^-1', (0, 165): 'tau1', (0, 110): 't2', }