U-tiling: UQC1798
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1345 |
*22222 |
(2,5,4) |
{5,5} |
{4.3.6.3.4}{3.6.4.4.6} |
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
|
|
sqc2919
|
|
Fmmm |
69 |
orthorhombic |
{5,4} |
8 |
(2,5) |
|
G
|
False
|
|
sqc9545
|
|
Fddd |
70 |
orthorhombic |
{5,5} |
16 |
(2,6) |
|
D
|
False
|
|
sqc499
|
|
Pmmm |
47 |
orthorhombic |
{5,5} |
4 |
(2,5) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {4.3.6.3.4}{3.6.4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.3:160:41 12 13 6 7 98 99 30 51 16 17 118 119 40 61 32 33 26 27 138 139 71 36 37 158 159 52 53 46 47 108 109 70 56 57 88 89 80 72 73 66 67 148 149 76 77 128 129 111 102 103 86 87 130 101 112 113 96 97 140 106 107 150 116 117 160 151 142 143 126 127 141 152 153 136 137 146 147 156 157,2 4 85 16 8 10 12 14 105 18 20 22 24 125 36 28 30 32 34 145 38 40 42 44 115 56 48 50 52 54 95 58 60 62 64 155 76 68 70 72 74 135 78 80 82 84 106 88 90 92 94 116 98 100 102 104 108 110 112 114 118 120 122 124 146 128 130 132 134 156 138 140 142 144 148 150 152 154 158 160,81 3 5 7 9 20 101 13 15 17 19 121 23 25 27 29 40 141 33 35 37 39 111 43 45 47 49 60 91 53 55 57 59 151 63 65 67 69 80 131 73 75 77 79 83 85 87 89 110 93 95 97 99 120 103 105 107 109 113 115 117 119 123 125 127 129 150 133 135 137 139 160 143 145 147 149 153 155 157 159:4 3 6 4 6 4 4 3 6 6 3 4 4 3 4 3 3 4 3 3,5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5> {(1, 34): 'tau3', (1, 85): 'tau1', (1, 155): 't2*tau1*t3^-1', (0, 60): 't1', (2, 20): 'tau2^-1', (0, 159): 't2', (0, 8): 't3', (2, 109): 'tau1^-1', (0, 129): 't3^-1', (1, 74): 'tau2', (0, 150): 'tau3*t1*tau2^-1', (0, 140): 'tau3^-1*t1^-1*tau2', (0, 57): 't3^-1', (0, 47): 't2^-1', (2, 30): 'tau3', (1, 64): 'tau3^-1', (0, 142): 't2^-1*tau1^-1*t3', (0, 18): 't2', (2, 99): 'tau1^-1', (0, 17): 't2', (0, 7): 't3', (0, 48): 't2^-1', (0, 102): 'tau1^-1', (2, 149): 't2^-1*tau1^-1*t3', (0, 112): 'tau1', (0, 149): 't2^-1', (0, 30): 't1^-1', (0, 139): 't3', (0, 141): 't2^-1*tau1^-1*t3', (0, 132): 't3*tau1^-1*t2^-1', (0, 151): 't2*tau1*t3^-1', (2, 139): 't3*tau1^-1*t2^-1', (1, 115): 'tau1', (1, 124): 'tau2', (1, 125): 't3^-1*tau1*t2', (0, 101): 'tau1^-1', (2, 60): 'tau3^-1', (0, 91): 'tau1^-1', (2, 130): 'tau2^-1', (0, 58): 't3^-1', }