U-tiling: UQC2160
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1707 |
*22222 |
(2,5,4) |
{3,10} |
{4.4.6}{6.4.4.4.4.6.4.4.4.4} |
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
|
|
sqc4199
|
|
Fmmm |
69 |
orthorhombic |
{10,3} |
10 |
(2,5) |
|
G
|
False
|
|
sqc10195
|
|
Fddd |
70 |
orthorhombic |
{10,3,3} |
20 |
(3,6) |
|
D
|
True
|
|
sqc369
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
5 |
(2,5) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.4.6}{6.4.4.4.4.6.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.2:176:89 46 47 6 7 52 53 21 22 111 57 58 17 18 63 64 133 68 69 28 29 74 75 43 44 155 79 80 39 40 85 86 122 50 51 65 66 100 61 62 166 72 73 87 88 144 83 84 123 124 94 95 129 130 120 121 112 113 105 106 118 119 131 132 116 117 127 128 167 168 138 139 173 174 164 165 156 157 149 150 162 163 175 176 160 161 171 172,2 4 27 8 11 10 13 15 38 19 22 21 24 26 30 33 32 35 37 41 44 43 46 48 71 52 55 54 57 59 82 63 66 65 68 70 74 77 76 79 81 85 88 87 90 92 137 96 99 98 101 103 148 107 110 109 112 114 159 118 121 120 123 125 170 129 132 131 134 136 140 143 142 145 147 151 154 153 156 158 162 165 164 167 169 173 176 175,100 3 5 7 9 11 122 14 16 18 20 22 144 25 27 29 31 33 166 36 38 40 42 44 111 47 49 51 53 55 89 58 60 62 64 66 155 69 71 73 75 77 133 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 4 6 4 4 4 4 4 4 4 4 6 4 6 4 4 6 4 4 4,10 3 10 3 3 3 10 3 10 3 3 3 3 3 3 3 3 3 3 3> {(0, 167): 'tau3*t1*tau2^-1', (0, 29): 't1^-1', (2, 0): 't3', (0, 141): 't3^-1*tau1*t2', (0, 41): 't1^-1', (0, 34): 't1^-1', (1, 114): 't2', (0, 173): 'tau3*t1*tau2^-1', (0, 22): 'tau2^-1', (0, 131): 'tau1', (0, 161): 'tau3^-1*t1^-1*tau2', (1, 103): 't3^-1', (0, 175): 't2*tau1*t3^-1', (0, 24): 't1^-1', (0, 164): 't2^-1*tau1^-1*t3', (0, 23): 't1^-1', (0, 166): 'tau3*t1*tau2^-1', (0, 119): 'tau1^-1', (0, 156): 'tau3^-1*t1^-1*tau2', (0, 40): 't1^-1', (0, 30): 't1^-1', (0, 120): 'tau1^-1', (0, 33): 'tau3', (2, 44): 't2^-1', (0, 151): 'tau2^-1*t1*tau3', (2, 11): 't2', (0, 35): 't1^-1', (0, 172): 'tau3*t1*tau2^-1', (1, 92): 't3', (0, 130): 'tau1', (0, 143): 'tau2^-1', (1, 125): 't2^-1', (0, 165): 'tau3', (0, 174): 't2*tau1*t3^-1', (0, 155): 'tau3^-1*t1^-1*tau2', (2, 55): 't3^-1', }