U-tiling: UQC1711
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1290 |
*2244 |
(2,4,4) |
{4,8} |
{4.12.3.4}{3.12.3.12.3.12.3.12} |
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
|
|
sqc9737
|
|
I-42d |
122 |
tetragonal |
{8,4,4} |
18 |
(3,5) |
|
D
|
False
|
|
sqc3783
|
|
P4/mmm |
123 |
tetragonal |
{4,8} |
9 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.12.3.4}{3.12.3.12.3.12.3.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.1:160:3 4 15 16 87 88 69 70 13 14 97 98 79 80 23 24 45 46 107 108 39 40 33 34 55 56 117 118 43 44 127 128 59 60 53 54 137 138 63 64 75 76 147 148 73 74 157 158 83 84 95 96 149 150 93 94 159 160 103 104 125 126 119 120 113 114 135 136 123 124 139 140 133 134 143 144 155 156 153 154,11 22 5 10 7 9 32 15 20 17 19 41 25 30 27 29 51 35 40 37 39 62 45 50 47 49 72 55 60 57 59 71 65 70 67 69 75 80 77 79 91 102 85 90 87 89 112 95 100 97 99 121 105 110 107 109 131 115 120 117 119 142 125 130 127 129 152 135 140 137 139 151 145 150 147 149 155 160 157 159,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:3 12 4 4 4 3 4 4 3 4 4 3 4 3 12 3 3 3,8 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4> {(0, 135): 't3*tau2*t1^-1', (0, 55): 't3*tau2*t1^-1', (0, 134): 't3*tau2*t1^-1', (0, 19): 't1^-1*tau2*t3', (1, 121): 'tau1', (1, 151): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 159): 't3^-1*tau2^-1*t1', (0, 158): 't3^-1*tau2^-1*t1', (1, 110): 't1*tau2^-1*t3^-1', (1, 111): 'tau3^-1', (1, 50): 't3*tau2*t1^-1', (1, 101): 't2^-1', (0, 54): 't3*tau2*t1^-1', (1, 71): 't3^-1*tau2^-1*t3^-1', (1, 61): 't3^-1', (0, 78): 't3^-1*tau2^-1*t1', (1, 31): 't1', }