U-tiling: UQC4800
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1767 |
*22222 |
(4,6,2) |
{3,4,4,4} |
{8.3.8}{8.8.3.3}{8.8.8.8}{8.8.8.8} |
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
|
|
sqc10329
|
|
Fddd |
70 |
orthorhombic |
{3,4,4,4} |
24 |
(4,7) |
|
D
|
False
|
|
sqc4541
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,3} |
12 |
(4,6) |
Topological data
| Vertex degrees | {3,4,4,4} |
| 2D vertex symbol | {8.3.8}{8.8.3.3}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.5:176:12 3 5 28 8 10 22 14 16 39 19 21 34 25 27 30 32 44 36 38 41 43 56 47 49 72 52 54 66 58 60 83 63 65 78 69 71 74 76 88 80 82 85 87 111 91 93 138 96 98 121 122 102 104 149 107 109 132 113 115 160 118 120 124 126 171 129 131 155 135 137 140 142 165 166 146 148 151 153 176 157 159 162 164 168 170 173 175,2 7 26 6 9 11 13 18 37 17 20 22 24 29 28 31 33 35 40 39 42 44 46 51 70 50 53 55 57 62 81 61 64 66 68 73 72 75 77 79 84 83 86 88 90 95 136 94 97 99 101 106 147 105 108 110 112 117 158 116 119 121 123 128 169 127 130 132 134 139 138 141 143 145 150 149 152 154 156 161 160 163 165 167 172 171 174 176,23 4 5 105 106 107 97 98 55 34 15 16 127 128 129 119 120 66 26 27 149 150 151 141 142 77 37 38 171 172 173 163 164 88 67 48 49 116 117 118 130 131 78 59 60 94 95 96 108 109 70 71 160 161 162 174 175 81 82 138 139 140 152 153 133 92 93 132 144 103 104 121 155 114 115 166 125 126 136 137 176 147 148 165 158 159 169 170:8 3 3 8 8 3 3 8 8 3 8 3 3 3 8 8,3 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 3 3 3 3> {(2, 60): 't3^-1', (2, 61): 't3^-1', (2, 62): 't3^-1', (0, 165): 't2*tau1*t3^-1', (1, 124): 't2^-1', (1, 113): 't2', (2, 49): 't2^-1', (2, 50): 't2^-1', (2, 51): 't2^-1', (2, 173): 'tau3', (2, 174): 'tau3', (2, 175): 'tau3*t1*tau2^-1', (0, 175): 't2*tau1*t3^-1', (2, 43): 't1^-1', (2, 164): 'tau3^-1*t1^-1*tau2', (2, 165): 't2', (2, 32): 't1^-1', (2, 162): 'tau3^-1', (2, 163): 'tau3^-1', (0, 154): 't2^-1*tau1^-1*t3', (1, 91): 't3', (2, 152): 'tau2^-1', (2, 154): 't2^-1', (1, 102): 't3^-1', (2, 151): 'tau2^-1', (2, 16): 't2', (2, 17): 't2', (0, 148): 't3', (2, 140): 'tau2', (2, 141): 'tau2', (2, 143): 't3', (0, 164): 't2^-1*tau1^-1*t3', (2, 132): 't3^-1', (2, 5): 't3', (2, 6): 't3', (2, 7): 't3', (2, 128): 't2^-1', (0, 120): 'tau1^-1', (0, 121): 'tau1', (0, 126): 't2^-1', (0, 115): 't2', (0, 110): 'tau1^-1', (0, 109): 'tau1^-1', (0, 93): 't3'}