U-tiling: UQC2052
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1667 |
*22222 |
(2,6,4) |
{7,4} |
{4.4.4.3.4.4.4}{4.4.3.3} |
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) |
|
P
|
True
|
|
sqc3401
|
|
Fmmm |
69 |
orthorhombic |
{4,6} |
8 |
(2,6) |
|
G
|
False
|
|
sqc10403
|
|
Fddd |
70 |
orthorhombic |
{7,4} |
16 |
(2,7) |
|
D
|
False
|
|
sqc600
|
|
Pmmm |
47 |
orthorhombic |
{7,4} |
4 |
(2,6) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.4.3.4.4.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.5:176:23 101 102 92 93 8 9 98 22 34 123 124 114 115 19 20 120 145 146 136 137 30 31 142 44 167 168 158 159 41 42 164 67 112 113 125 126 52 53 131 66 78 90 91 103 104 63 64 109 156 157 169 170 74 75 175 88 134 135 147 148 85 86 153 133 96 97 121 144 107 108 132 155 118 119 166 129 130 140 141 165 151 152 176 162 163 173 174,2 4 6 18 10 11 13 15 17 21 22 24 26 28 40 32 33 35 37 39 43 44 46 48 50 62 54 55 57 59 61 65 66 68 70 72 84 76 77 79 81 83 87 88 90 92 94 117 98 99 101 103 105 128 109 110 112 114 116 120 121 123 125 127 131 132 134 136 138 161 142 143 145 147 149 172 153 154 156 158 160 164 165 167 169 171 175 176,12 3 5 7 9 54 55 14 16 18 20 65 66 34 25 27 29 31 76 77 36 38 40 42 87 88 56 47 49 51 53 58 60 62 64 78 69 71 73 75 80 82 84 86 111 91 93 95 97 131 132 122 102 104 106 108 120 121 113 115 117 119 124 126 128 130 155 135 137 139 141 175 176 166 146 148 150 152 164 165 157 159 161 163 168 170 172 174:4 4 4 3 4 4 4 4 4 3 4 4 4 4 3 4 4 4 3 4 3 3 3 3,7 4 4 7 4 4 7 7 7 4 7 4 7 4 7 4> {(1, 149): 't3*tau1^-1*t2^-1', (2, 175): 'tau3*t1*tau2^-1', (0, 146): 'tau2^-1', (2, 43): 't1^-1', (2, 164): 'tau3^-1*t1^-1*tau2', (0, 154): 't2^-1', (2, 32): 't1^-1', (2, 152): 'tau2^-1*t1*tau3', (0, 13): 't2', (0, 163): 'tau3^-1', (1, 138): 't3^-1*tau1*t2', (0, 56): 't3^-1', (0, 174): 'tau3', (2, 132): 't3^-1*tau1*t2', (0, 152): 'tau2^-1', (0, 164): 't2^-1*tau1^-1*t3', (0, 135): 'tau2', (2, 121): 'tau1', (2, 174): 'tau3*t1*tau2^-1', (2, 75): 't1', (2, 42): 't1^-1', (0, 143): 't3', (0, 157): 'tau3^-1', (0, 169): 'tau3', (0, 136): 'tau2', (0, 1): 't3', (0, 45): 't2^-1', (0, 12): 't2', (0, 147): 'tau2^-1', (2, 110): 'tau1^-1', (0, 158): 'tau3^-1', (0, 141): 'tau2', (2, 165): 't2*tau1*t3^-1', (0, 2): 't3', (0, 46): 't2^-1', (1, 116): 'tau1^-1', (0, 131): 'tau1', (0, 57): 't3^-1', (0, 175): 't2*tau1*t3^-1', (0, 168): 'tau3', (0, 120): 'tau1^-1', (0, 165): 't2', (0, 132): 't3^-1', (1, 127): 'tau1', }