U-tiling: UQC1724
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1297 |
*2244 |
(2,4,4) |
{4,8} |
{4.6.3.8}{3.6.3.6.3.6.3.6} |
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
|
False
|
|
sqc9731
|
|
P4/nmm |
129 |
tetragonal |
{8,4} |
18 |
(2,4) |
|
G
|
False
|
|
sqc9724
|
|
I41/a |
88 |
tetragonal |
{8,4,4} |
18 |
(3,5) |
|
D
|
False
|
|
sqc9726
|
|
I41/amd |
141 |
tetragonal |
{8,4} |
18 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.6.3.8}{3.6.3.6.3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:160:3 4 25 26 67 68 19 20 13 14 35 36 77 78 23 24 87 88 49 50 33 34 107 108 59 60 43 44 135 136 117 118 53 54 155 156 97 98 63 64 95 96 79 80 73 74 115 116 83 84 125 126 119 120 93 94 109 110 103 104 145 146 113 114 123 124 157 158 149 150 133 134 147 148 159 160 143 144 153 154,21 62 5 10 7 9 31 72 15 20 17 19 82 25 30 27 29 102 35 40 37 39 131 112 45 50 47 49 151 92 55 60 57 59 91 65 70 67 69 111 75 80 77 79 121 85 90 87 89 95 100 97 99 141 105 110 107 109 115 120 117 119 152 125 130 127 129 142 135 140 137 139 145 150 147 149 155 160 157 159,2 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 6 8 4 3 8 6 4 6 4 3 3 3 3 3 3 6 4,8 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 146): 't2*tau3^-1*t1^-1*tau2*t3', (0, 59): 't2^-1', (0, 26): 'tau2^-1*t3^-1', (0, 48): 't3^-1', (0, 147): 't2*tau3^-1*t1^-1*tau2*t3', (0, 158): 'tau1', (0, 118): 't3^-1', (0, 108): 't2', (0, 56): 't2^-1*tau3', (0, 46): 't3^-1*tau2^-1', (0, 27): 'tau2^-1*t3^-1', (0, 49): 't3^-1', (0, 16): 't1^-1', (0, 6): 't1^-1', (0, 159): 'tau1', (0, 148): 'tau1^-1', (0, 119): 't3^-1', (0, 109): 't2', (0, 57): 't2^-1*tau3', (0, 47): 't3^-1*tau2^-1', (0, 36): 'tau3*t2^-1', (0, 17): 't1^-1', (0, 7): 't1^-1', (0, 156): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 127): 't3*tau2*t1^-1*tau3^-1*t2', (0, 149): 'tau1^-1', (0, 37): 'tau3*t2^-1', (0, 58): 't2^-1', }