U-tiling: UQC474
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc20 |
*246 |
(1,1,2) |
{4} |
{4.6.4.6} |
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
|
|
sqc942
|
mot-e
|
P4/mmm |
123 |
tetragonal |
{4,4} |
6 |
(2,2) |
|
G
|
False
|
|
sqc11201
|
|
I41/acd |
142 |
tetragonal |
{4,4} |
24 |
(2,3) |
|
D
|
False
|
|
sqc5578
|
|
P42/nnm |
134 |
tetragonal |
{4,4} |
12 |
(2,2) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.6.4.6}{6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.1:192:3 4 29 30 9 10 35 36 15 16 41 42 21 22 53 54 27 28 33 34 39 40 45 46 143 144 51 52 57 58 167 168 63 64 179 180 69 70 101 102 75 76 191 192 81 82 119 120 87 88 131 132 93 94 137 138 99 100 105 106 155 156 111 112 161 162 117 118 123 124 173 174 129 130 135 136 141 142 147 148 185 186 153 154 159 160 165 166 171 172 177 178 183 184 189 190,7 14 69 5 72 20 81 11 84 19 87 17 90 105 23 108 43 38 93 29 96 55 50 111 35 114 61 123 41 126 62 117 47 120 73 147 53 150 74 99 59 102 153 65 156 79 86 71 129 77 132 104 83 103 89 115 122 95 109 128 101 107 146 113 152 119 151 125 145 131 157 170 165 137 168 163 176 159 143 162 149 155 182 161 188 167 181 189 173 192 187 183 179 186 185 191,2 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 6 4 6 4 4 4 4 4 4 4 6 4 6 6 6 6 6 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 24): 't3', (1, 121): 't3^-1', (1, 108): 't2', (1, 53): 'tau3', (1, 77): 'tau3', (1, 188): 't2^-1*tau3*t1*tau2^-1', (0, 190): 't2^-1', (1, 114): 't3^-1', (1, 138): 'tau1^-1', (1, 104): 't1', (1, 73): 't2', (0, 185): 't2', (1, 61): 't3', (1, 186): 'tau1*t3^-1', (1, 62): 'tau2^-1', (1, 185): 't2*tau3^-1*t1^-1*tau2', (1, 50): 'tau3', (1, 86): 't1', (1, 89): 't1', (1, 156): 'tau1^-1', (1, 122): 'tau2', (1, 109): 't2', (1, 169): 't3^-1', (1, 175): 't3', (0, 191): 't2^-1', (1, 41): 'tau2^-1', (1, 176): 'tau2^-1*t1*tau3*t2^-1', (1, 74): 'tau3', (0, 184): 't2', (1, 107): 't1', (1, 30): 't2', (1, 65): 'tau2^-1', (1, 180): 'tau1^-1*t3', (1, 191): 't2^-1*tau3*t1*tau2^-1', }