U-tiling: UQC3302
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc312 |
*2224 |
(3,2,2) |
{4,3,4} |
{4.8.4.8}{4.8.8}{8.8.8.8} |
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
|
|
sqc5589
|
epz
|
I4/mmm |
139 |
tetragonal |
{4,3,4} |
14 |
(3,2) |
G
|
False
|
|
sqc11232
|
|
I41/acd |
142 |
tetragonal |
{4,3,4} |
28 |
(3,3) |
D
|
False
|
|
sqc976
|
tfj
|
I4/mmm |
139 |
tetragonal |
{4,3,4} |
7 |
(3,2) |
Topological data
Vertex degrees | {4,3,4} |
2D vertex symbol | {4.8.4.8}{4.8.8}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.1:192:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,13 26 9 5 72 19 32 11 84 38 21 17 90 50 23 108 37 45 29 96 49 57 35 114 63 41 126 61 140 47 120 75 53 150 73 164 59 102 176 65 156 85 98 81 71 188 77 132 103 116 83 128 105 89 121 134 117 95 127 111 101 152 107 145 158 113 151 119 170 153 125 147 131 169 159 137 168 175 165 143 162 182 149 155 181 161 187 167 183 173 192 189 179 186 185 191,3 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 99 100 105 106 155 156 111 112 161 162 117 118 123 124 173 174 129 130 135 136 141 142 147 148 185 186 153 154 159 160 165 166 171 172 177 178 183 184 189 190:4 8 4 8 8 8 8 4 8 4 4 4 4 4 8 8,4 3 4 3 4 3 4 3 4 4 4 3 3 3 4 3 3 3 3 4 3 4 3 3 3 4 4 3> {(1, 120): 't3^-1', (2, 190): 't2^-1', (2, 191): 't2^-1', (2, 184): 't2', (2, 185): 't2', (1, 116): 't3^-1', (1, 107): 't1', (1, 108): 't2', (1, 110): 't2', (1, 125): 'tau2', (1, 60): 't3', (1, 89): 't1', (1, 73): 't2', (1, 72): 't2', (1, 77): 'tau3', (1, 65): 'tau2^-1', (1, 185): 't2*tau3^-1*t1^-1*tau2', (1, 56): 't2^-1', (1, 188): 'tau1*t3^-1', (1, 191): 't2^-1*tau3*t1*tau2^-1', (1, 181): 't2', (1, 182): 'tau1^-1*t3', (1, 168): 't3^-1', (1, 44): 't3^-1', (1, 164): 'tau1', (1, 158): 'tau1^-1', (1, 149): 'tau3^-1', (1, 138): 't3^-1'}