U-tiling: UQC4801
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) |
|
P
|
False
|
|
sqc4654
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4,4} |
12 |
(4,6) |
|
G
|
False
|
|
sqc10596
|
|
Fddd |
70 |
orthorhombic |
{3,4,4,4} |
24 |
(4,7) |
|
D
|
False
|
|
sqc632
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4} |
6 |
(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
<62.4:176:45 3 5 17 8 10 55 56 14 16 19 21 66 67 25 27 39 30 32 77 78 36 38 41 43 88 47 49 61 52 54 58 60 63 65 69 71 83 74 76 80 82 85 87 122 91 93 116 96 98 132 111 102 104 127 107 109 121 113 115 118 120 124 126 129 131 166 135 137 160 140 142 176 155 146 148 171 151 153 165 157 159 162 164 168 170 173 175,2 7 15 6 9 11 13 18 17 20 22 24 29 37 28 31 33 35 40 39 42 44 46 51 59 50 53 55 57 62 61 64 66 68 73 81 72 75 77 79 84 83 86 88 90 95 114 94 97 99 101 106 125 105 108 110 112 117 116 119 121 123 128 127 130 132 134 139 158 138 141 143 145 150 169 149 152 154 156 161 160 163 165 167 172 171 174 176,12 4 5 28 29 30 108 109 99 15 16 39 40 41 130 131 121 34 26 27 152 153 143 37 38 174 175 165 56 48 49 72 73 74 119 120 132 59 60 83 84 85 97 98 110 78 70 71 163 164 176 81 82 141 142 154 111 92 93 138 139 140 122 103 104 149 150 151 114 115 160 161 162 125 126 171 172 173 155 136 137 166 147 148 158 159 169 170:8 3 8 8 3 8 3 3 8 3 8 3 8 3 8 3,3 4 4 4 4 4 4 3 4 4 3 4 4 4 4 3 3 4 3 4 4 4 3 3> {(2, 63): 't3^-1', (1, 124): 'tau1', (1, 113): 'tau1^-1', (2, 53): 't2^-1', (2, 172): 't2', (0, 43): 't1^-1', (2, 175): 'tau3', (2, 170): 't2', (2, 171): 't2', (2, 164): 'tau3^-1', (2, 165): 't2*tau1*t3^-1', (0, 32): 't1^-1', (0, 33): 't1^-1', (2, 160): 't2^-1', (2, 161): 't2^-1', (0, 164): 'tau3^-1*t1^-1*tau2', (0, 165): 'tau3*t1*tau2^-1', (2, 159): 't2^-1', (2, 153): 'tau2^-1', (2, 154): 't2^-1*tau1^-1*t3', (2, 148): 't3', (2, 149): 't3', (2, 150): 't3', (0, 22): 't1^-1', (2, 52): 't2^-1', (2, 142): 'tau2', (0, 142): 'tau2*t1^-1*tau3^-1', (2, 137): 't3^-1', (2, 138): 't3^-1', (2, 139): 't3^-1', (2, 8): 't3', (2, 129): 't2^-1', (2, 130): 't2^-1', (0, 143): 'tau2^-1*t1*tau3', (0, 126): 'tau1', (2, 121): 'tau1', (0, 115): 'tau1^-1', (2, 9): 't3', (2, 110): 'tau1^-1', (2, 97): 't3', (0, 159): 't2^-1*tau1^-1*t3', (0, 170): 't2*tau1*t3^-1', (1, 168): 't2*tau1*t3^-1', (1, 135): 't3^-1*tau1*t2'}