U-tiling: UQC1852
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1364 |
*2244 |
(2,4,4) |
{3,16} |
{4.4.6}{6.4.4.4.6.4.4.4.6.4.4.4.... |
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) |
|
G
|
False
|
|
sqc9352
|
|
I-42d |
122 |
tetragonal |
{16,3,3} |
18 |
(3,5) |
|
D
|
False
|
|
sqc3099
|
|
P4/mmm |
123 |
tetragonal |
{3,16} |
9 |
(2,4) |
Topological data
| Vertex degrees | {16,3} |
| 2D vertex symbol | {4.4.6}{6.4.4.4.6.4.4.4.6.4.4.4.6.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.1:160:11 12 5 6 17 18 89 90 15 16 99 100 41 42 25 26 47 48 109 110 51 52 35 36 57 58 119 120 45 46 129 130 55 56 139 140 71 72 65 66 77 78 149 150 75 76 159 160 91 92 85 86 97 98 95 96 121 122 105 106 127 128 131 132 115 116 137 138 125 126 135 136 151 152 145 146 157 158 155 156,21 3 64 7 10 9 31 13 74 17 20 19 23 34 27 30 29 33 37 40 39 61 43 54 47 50 49 71 53 57 60 59 63 67 70 69 73 77 80 79 101 83 144 87 90 89 111 93 154 97 100 99 103 114 107 110 109 113 117 120 119 141 123 134 127 130 129 151 133 137 140 139 143 147 150 149 153 157 160 159,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:4 4 6 4 6 4 6 4 4 4 6 4 4 4 4 4 4 4,16 3 3 3 3 3 3 3 3 16 3 3 3 3 3 3 3 3> {(1, 130): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 120): 'tau1', (0, 51): 't3*tau2*t1^-1', (1, 60): 't3^-1', (0, 137): 't3*tau2*t1^-1', (0, 50): 't3*tau2*t1^-1', (0, 136): 't3*tau2*t1^-1', (0, 130): 't3*tau2*t1^-1', (1, 110): 'tau3^-1', (1, 100): 't2^-1', (1, 70): 't3^-1*tau2^-1*t3^-1', (1, 73): 't3^-1*tau2^-1*t1', (0, 57): 't3*tau2*t1^-1', (1, 93): 't1^-1*tau2*t3', (0, 111): 't1*tau2^-1*t3^-1', (0, 56): 't3*tau2*t1^-1', (1, 30): 't1', }