U-tiling: UQC1768
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1332 |
*2244 |
(2,5,4) |
{7,3} |
{4.8.3.4.4.3.8}{3.4.4} |
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
|
|
sqc9513
|
|
I-42d |
122 |
tetragonal |
{3,7} |
16 |
(2,6) |
|
D
|
False
|
|
sqc14640
|
|
P4/mmm |
123 |
tetragonal |
{3,7} |
8 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {4.8.3.4.4.3.8}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<99.1:160:81 4 5 86 67 68 29 30 91 14 15 96 77 78 39 40 101 24 25 106 37 38 111 34 35 116 121 44 45 126 57 58 69 70 131 54 55 136 79 80 141 64 65 146 151 74 75 156 84 85 147 148 109 110 94 95 157 158 119 120 104 105 117 118 114 115 124 125 137 138 149 150 134 135 159 160 144 145 154 155,2 63 6 7 9 20 12 73 16 17 19 22 33 26 27 29 50 32 36 37 39 60 42 53 46 47 49 52 56 57 59 62 66 67 69 80 72 76 77 79 82 143 86 87 89 100 92 153 96 97 99 102 113 106 107 109 130 112 116 117 119 140 122 133 126 127 129 132 136 137 139 142 146 147 149 160 152 156 157 159,61 3 5 16 8 10 71 13 15 18 20 31 23 25 46 28 30 33 35 56 38 40 51 43 45 48 50 53 55 58 60 63 65 76 68 70 73 75 78 80 141 83 85 96 88 90 151 93 95 98 100 111 103 105 126 108 110 113 115 136 118 120 131 123 125 128 130 133 135 138 140 143 145 156 148 150 153 155 158 160:4 3 8 4 4 3 4 3 4 4 3 4 4 4 3 8 4 3 3 3,3 7 3 3 7 7 3 7 3 7 3 3 7 7 3 7> {(0, 157): 't3^-1*tau2^-1*t1', (2, 150): 't3^-1*tau2^-1*t1', (2, 115): 't1*tau2^-1*t3^-1', (2, 10): 't1^-1*tau2*t3', (0, 59): 't3*tau2*t3', (0, 48): 't3', (0, 38): 't1', (0, 158): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 72): 't3^-1*tau2^-1*t1', (0, 108): 't2^-1', (0, 49): 't3', (0, 39): 't1', (0, 16): 't1^-1*tau2*t3', (0, 159): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 59): 't3*tau2*t1^-1', (0, 148): 'tau1^-1', (0, 119): 'tau3^-1', (0, 109): 't2^-1', (0, 98): 'tau3', (0, 17): 't1^-1*tau2*t3', (0, 156): 't3^-1*tau2^-1*t1', (1, 119): 't1*tau2^-1*t3^-1', (0, 149): 'tau1^-1', (1, 92): 't1^-1*tau2*t3', (2, 35): 't1*tau2^-1*t3^-1', (0, 58): 't3*tau2*t3', }