U-tiling: UQC1685
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1282 |
*22222 |
(2,5,4) |
{8,4} |
{4.4.3.3.3.3.4.4}{3.3.3.3} |
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
|
|
sqc2623
|
|
Fmmm |
69 |
orthorhombic |
{4,7} |
6 |
(2,5) |
|
G
|
False
|
|
sqc9485
|
|
Fddd |
70 |
orthorhombic |
{8,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc394
|
|
Pmmm |
47 |
orthorhombic |
{8,4} |
3 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.3.3.3.3.4.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.5:160:21 92 93 84 85 8 9 50 31 112 113 104 105 18 19 60 132 133 124 125 28 29 70 152 153 144 145 38 39 80 61 102 103 114 115 48 49 71 82 83 94 95 58 59 142 143 154 155 68 69 122 123 134 135 78 79 121 88 89 120 131 98 99 110 141 108 109 151 118 119 128 129 160 138 139 150 148 149 158 159,2 4 6 10 88 49 12 14 16 20 108 59 22 24 26 30 128 69 32 34 36 40 148 79 42 44 46 50 118 52 54 56 60 98 62 64 66 70 158 72 74 76 80 138 82 84 86 90 119 92 94 96 100 109 102 104 106 110 112 114 116 120 122 124 126 130 159 132 134 136 140 149 142 144 146 150 152 154 156 160,11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 51 43 45 47 49 60 53 55 57 59 71 63 65 67 69 80 73 75 77 79 101 83 85 87 89 110 111 93 95 97 99 120 103 105 107 109 113 115 117 119 141 123 125 127 129 150 151 133 135 137 139 160 143 145 147 149 153 155 157 159:4 4 3 3 4 4 3 3 4 3 3 4 3 3 4 3 4 3 3 3 3 3 3 3,8 4 4 8 4 4 8 8 8 8 8 8> {(0, 39): 't1^-1', (2, 150): 't2*tau1*t3^-1', (0, 29): 't1^-1', (1, 67): 'tau3^-1', (0, 51): 't3^-1', (0, 41): 't2^-1', (0, 159): 'tau3*t1*tau2^-1', (1, 77): 'tau2', (2, 100): 'tau1^-1', (2, 109): 'tau1^-1', (0, 1): 't3', (2, 140): 't2^-1*tau1^-1*t3', (1, 37): 'tau3', (0, 150): 't2', (0, 140): 't2^-1', (0, 134): 'tau2^-1', (0, 34): 'tau3', (0, 24): 'tau2^-1', (0, 133): 'tau2^-1', (0, 12): 't2', (0, 154): 'tau3', (0, 11): 't2', (2, 149): 't2^-1*tau1^-1*t3', (2, 90): 'tau1^-1', (0, 63): 'tau3^-1', (0, 149): 'tau3^-1*t1^-1*tau2', (1, 78): 't1', (0, 52): 't3^-1', (0, 33): 'tau3', (0, 42): 't2^-1', (0, 23): 'tau2^-1', (2, 139): 't3*tau1^-1*t2^-1', (1, 28): 't1^-1', (0, 2): 't3', (1, 138): 'tau2^-1*t1*tau3', (0, 120): 't3^-1', (2, 99): 'tau1^-1', (0, 90): 't3^-1', (1, 158): 'tau3*t1*tau2^-1', (1, 127): 'tau2', }