U-tiling: UQC2462
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1683 |
*2244 |
(2,5,5) |
{8,3} |
{4.4.3.4.4.4.3.4}{3.4.4} |
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
|
|
sqc10207
|
|
P42/mmc |
131 |
tetragonal |
{3,8} |
16 |
(2,5) |
|
G
|
False
|
|
sqc10212
|
|
I-42d |
122 |
tetragonal |
{3,8} |
16 |
(2,6) |
|
D
|
False
|
|
sqc4285
|
|
P-42m |
111 |
tetragonal |
{3,8} |
8 |
(2,5) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.3.4.4.4.3.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<114.1:176:12 4 5 17 18 96 97 76 77 15 16 107 108 87 88 45 26 27 50 51 118 119 43 44 56 37 38 61 62 129 130 48 49 140 141 65 66 59 60 151 152 78 70 71 83 84 162 163 81 82 173 174 100 92 93 105 106 164 165 103 104 175 176 133 114 115 138 139 131 132 144 125 126 149 150 136 137 153 154 147 148 166 158 159 171 172 169 170,2 91 6 8 29 10 33 13 102 17 19 40 21 44 24 113 28 30 32 35 124 39 41 43 46 135 50 52 73 54 77 57 146 61 63 84 65 88 68 157 72 74 76 79 168 83 85 87 90 94 96 117 98 121 101 105 107 128 109 132 112 116 118 120 123 127 129 131 134 138 140 161 142 165 145 149 151 172 153 176 156 160 162 164 167 171 173 175,89 3 5 7 9 11 100 14 16 18 20 22 111 25 27 29 31 33 122 36 38 40 42 44 133 47 49 51 53 55 144 58 60 62 64 66 155 69 71 73 75 77 166 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 3 4 4 4 3 4 4 3 4 4 3 3 4 3 4 3 3 4 4 4 4 4 4,3 8 3 8 3 3 3 8 3 8 3 3 8 8 8 8> {(1, 21): 't1^-1', (1, 87): 't3^-1*tau2^-1*t3^-1', (0, 55): 't3*tau2*t1^-1', (1, 83): 't3^-1*tau2^-1*t3^-1', (1, 76): 't3^-1', (1, 164): 'tau1^-1', (1, 72): 't3^-1', (1, 160): 'tau1^-1', (0, 174): 't3^-1*tau2^-1*t1', (1, 116): 't2^-1', (0, 60): 't3*tau2*t1^-1', (0, 126): 't1*tau2^-1*t3^-1', (0, 61): 't3*tau2*t1^-1', (0, 20): 't1^-1*tau2*t3', (1, 39): 't1', (0, 175): 't3^-1*tau2^-1*t1', (1, 120): 't2^-1', (0, 127): 't1*tau2^-1*t3^-1', (1, 109): 'tau3', (0, 21): 't1^-1*tau2*t3', (1, 175): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 143): 't3*tau2*t1^-1', (1, 171): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 127): 'tau3^-1', }