U-tiling: UQC2216
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1733 |
*22222 |
(2,6,4) |
{8,3} |
{4.3.4.4.4.4.3.4}{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
|
True
|
|
sqc3398
|
|
Fmmm |
69 |
orthorhombic |
{3,7} |
8 |
(2,6) |
|
G
|
False
|
|
sqc10267
|
|
Fddd |
70 |
orthorhombic |
{3,8} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4307
|
|
Cmma |
67 |
orthorhombic |
{3,8} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.3.4.4.4.4.3.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.4:176:12 4 5 17 18 30 53 54 99 15 16 41 64 65 121 34 26 27 39 40 75 76 143 37 38 86 87 165 56 48 49 61 62 74 132 59 60 85 110 78 70 71 83 84 176 81 82 154 111 92 93 116 117 140 130 131 122 103 104 127 128 151 119 120 114 115 162 125 126 173 155 136 137 160 161 174 175 166 147 148 171 172 163 164 158 159 169 170,2 47 6 9 8 11 13 58 17 20 19 22 24 69 28 31 30 33 35 80 39 42 41 44 46 50 53 52 55 57 61 64 63 66 68 72 75 74 77 79 83 86 85 88 90 124 94 97 96 99 101 113 105 108 107 110 112 116 119 118 121 123 127 130 129 132 134 168 138 141 140 143 145 157 149 152 151 154 156 160 163 162 165 167 171 174 173 176,45 3 5 7 107 10 110 56 14 16 18 129 21 132 67 25 27 29 151 32 154 78 36 38 40 173 43 176 47 49 51 118 54 121 58 60 62 96 65 99 69 71 73 162 76 165 80 82 84 140 87 143 122 91 93 95 98 111 102 104 106 109 113 115 117 120 124 126 128 131 166 135 137 139 142 155 146 148 150 153 157 159 161 164 168 170 172 175:4 3 4 4 3 4 4 3 4 3 4 4 4 4 4 3 4 4 3 4 4 3 4 3,3 8 3 8 3 8 3 8 8 8 8 8 3 3 3 3> {(0, 41): 't1^-1', (2, 7): 't3', (0, 173): 'tau3*t1*tau2^-1', (2, 10): 't3', (2, 98): 't3', (0, 154): 't2^-1*tau1^-1*t3', (0, 30): 't1^-1', (0, 42): 't1^-1', (0, 163): 'tau3^-1*t1^-1*tau2', (0, 174): 'tau3*t1*tau2^-1', (2, 22): 't1^-1', (0, 115): 'tau1^-1', (0, 159): 't2^-1*tau1^-1*t3', (0, 126): 'tau1', (0, 171): 't2*tau1*t3^-1', (1, 167): 'tau3*t1*tau2^-1', (0, 164): 'tau3^-1', (1, 35): 't1^-1', (2, 154): 'tau3^-1*t1^-1*tau2', (0, 116): 'tau1^-1', (0, 161): 't2^-1', (0, 172): 't2', (0, 110): 'tau1^-1', (0, 150): 't3', (0, 121): 'tau1', (0, 162): 'tau3^-1*t1^-1*tau2', (2, 54): 't2^-1', (2, 21): 't2', (0, 170): 't2*tau1*t3^-1', (2, 165): 'tau3*t1*tau2^-1', (1, 156): 'tau3^-1*t1^-1*tau2', (2, 62): 't3^-1', (2, 33): 't1^-1', (1, 24): 't1^-1', (0, 31): 't1^-1', (2, 51): 't2^-1', (2, 18): 't2', (0, 160): 't2^-1*tau1^-1*t3', (0, 175): 'tau3', (0, 142): 'tau2', (0, 127): 'tau1', (0, 139): 't3^-1', (0, 153): 'tau2^-1', (0, 165): 't2*tau1*t3^-1', }