U-tiling: UQC2078
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1672 |
*22222 |
(2,6,4) |
{8,3} |
{4.4.4.3.3.4.4.4}{4.4.3} |
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) |
|
G
|
False
|
|
sqc10234
|
|
I4122 |
98 |
tetragonal |
{8,3} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4268
|
|
P4222 |
93 |
tetragonal |
{8,3} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.3.3.4.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.2:176:100 4 5 28 29 30 20 21 33 78 15 16 39 40 41 44 122 26 27 42 43 111 37 38 144 48 49 72 73 74 86 87 77 133 59 60 94 95 96 108 109 99 166 70 71 119 120 81 82 116 117 118 121 155 92 93 130 131 103 104 127 128 129 132 114 115 125 126 136 137 160 161 162 152 153 165 147 148 171 172 173 176 158 159 174 175 169 170,2 7 103 6 9 11 13 18 81 17 20 22 24 29 125 28 31 33 35 40 114 39 42 44 46 51 147 50 53 55 57 62 136 61 64 66 68 73 169 72 75 77 79 84 83 86 88 90 95 158 94 97 99 101 106 105 108 110 112 117 116 119 121 123 128 127 130 132 134 139 138 141 143 145 150 149 152 154 156 161 160 163 165 167 172 171 174 176,45 3 5 105 8 10 55 56 14 16 83 19 21 66 67 25 27 127 30 32 77 89 36 38 116 41 43 99 47 49 149 52 54 58 60 138 63 65 69 71 171 74 76 133 80 82 85 87 143 91 93 160 96 98 144 102 104 107 109 154 155 113 115 118 120 165 166 124 126 129 131 176 135 137 140 142 146 148 151 153 157 159 162 164 168 170 173 175:3 4 4 4 3 4 3 3 3 4 4 4 3 4 4 4 3 4 3 4 4 4 4 4,8 3 8 3 8 3 8 3 3 3 3 8 3 8 8 8> {(0, 29): 't1^-1', (0, 41): 't1', (0, 129): 'tau3^-1', (2, 43): 't1', (0, 22): 't1^-1', (2, 131): 't1', (0, 154): 't1', (0, 63): 't2', (1, 91): 't1^-1', (0, 42): 't1', (0, 151): 'tau1', (0, 118): 'tau2', (0, 130): 'tau3^-1', (0, 174): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 27): 't1^-1', (0, 159): 't1*tau3*t2^-1', (0, 53): 't3', (0, 171): 'tau2^-1*t3^-1', (0, 152): 'tau1', (0, 164): 'tau2*t3', (0, 61): 't2*tau3^-1', (0, 28): 't1^-1', (2, 121): 't1', (0, 161): 't1*tau3*t2^-1', (0, 172): 'tau2^-1*t3^-1', (2, 93): 't1^-1', (2, 27): 't1^-1', (0, 51): 't3*tau2', (0, 62): 't2*tau3^-1', (0, 162): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 52): 't3', (0, 170): 'tau2^-1*t3^-1', (0, 108): 't2^-1', (0, 49): 't3*tau2', (2, 33): 't1', (0, 60): 't2*tau3^-1', (0, 43): 't1', (0, 119): 'tau2', (0, 160): 't1*tau3*t2^-1', (0, 131): 'tau3^-1*t2', (1, 124): 't1', (0, 175): 't1^-1*tau3^-1*t2', (0, 50): 't3*tau2', (0, 120): 'tau2*t3', }