U-tiling: UQC2634
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1978 |
*2244 |
(2,5,5) |
{6,3} |
{4.4.4.12.4.4}{4.4.12} |
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
|
|
sqc10913
|
|
P42/mmc |
131 |
tetragonal |
{6,3} |
24 |
(2,5) |
G
|
False
|
|
sqc10805
|
|
I-42d |
122 |
tetragonal |
{6,3,3} |
24 |
(3,6) |
D
|
False
|
|
sqc5179
|
|
P-42m |
111 |
tetragonal |
{3,6} |
12 |
(2,5) |
Topological data
Vertex degrees | {6,3} |
2D vertex symbol | {4.4.4.12.4.4}{4.4.12} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:192:13 14 99 100 7 8 105 106 83 84 111 112 19 20 117 118 95 96 49 50 123 124 31 32 129 130 47 48 61 62 135 136 43 44 141 142 147 148 55 56 153 154 71 72 159 160 67 68 165 166 85 86 171 172 79 80 177 178 183 184 91 92 189 190 109 110 103 104 179 180 115 116 191 192 145 146 127 128 143 144 157 158 139 140 151 152 167 168 163 164 181 182 175 176 187 188,25 3 5 30 9 12 11 37 15 17 42 21 24 23 27 29 33 36 35 39 41 45 48 47 73 51 53 78 57 60 59 85 63 65 90 69 72 71 75 77 81 84 83 87 89 93 96 95 121 99 101 126 105 108 107 133 111 113 138 117 120 119 123 125 129 132 131 135 137 141 144 143 169 147 149 174 153 156 155 181 159 161 186 165 168 167 171 173 177 180 179 183 185 189 192 191,2 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 4 4 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 12,6 3 6 3 3 3 6 3 6 3 3 3 6 3 6 3 3 3 6 3 6 3 3 3> {(0, 157): 't3*tau2*t1^-1', (1, 185): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 108): 'tau3', (1, 77): 't3^-1', (0, 190): 't3^-1*tau2^-1*t1', (0, 22): 't1^-1*tau2*t3', (0, 191): 't3^-1*tau2^-1*t1', (1, 173): 'tau1^-1', (1, 113): 'tau3', (1, 36): 't1', (0, 23): 't1^-1*tau2*t3', (1, 72): 't3^-1', (1, 41): 't1', (1, 125): 't2^-1', (0, 60): 't3*tau2*t1^-1', (1, 120): 't2^-1', (1, 168): 'tau1^-1', (1, 84): 't3^-1*tau2^-1*t3^-1', (1, 89): 't3^-1*tau2^-1*t3^-1', (0, 61): 't3*tau2*t1^-1', (0, 156): 't3*tau2*t1^-1', (1, 180): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', }