U-tiling: UQC4498
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1474 |
*22222 |
(4,5,2) |
{6,3,4,4} |
{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7.... |
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
|
|
sqc9703
|
|
I4122 |
98 |
tetragonal |
{6,3,4,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3096
|
|
P4222 |
93 |
tetragonal |
{3,4,4,6} |
10 |
(4,5) |
Topological data
| Vertex degrees | {6,3,4,4} |
| 2D vertex symbol | {3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.2:160:41 3 5 7 9 30 51 13 15 17 19 40 61 23 25 27 29 81 33 35 37 39 43 45 47 49 70 53 55 57 59 90 63 65 67 69 121 73 75 77 79 110 83 85 87 89 131 93 95 97 99 120 141 103 105 107 109 151 113 115 117 119 123 125 127 129 150 133 135 137 139 160 143 145 147 149 153 155 157 159,2 43 24 6 8 10 12 53 34 16 18 20 22 63 26 28 30 32 83 36 38 40 42 64 46 48 50 52 84 56 58 60 62 66 68 70 72 123 104 76 78 80 82 86 88 90 92 133 114 96 98 100 102 143 106 108 110 112 153 116 118 120 122 144 126 128 130 132 154 136 138 140 142 146 148 150 152 156 158 160,91 4 5 46 47 28 29 20 71 14 15 56 57 38 39 111 24 25 66 67 40 101 34 35 86 87 131 44 45 68 69 80 121 54 55 88 89 100 151 64 65 110 74 75 126 127 108 109 141 84 85 120 94 95 136 137 118 119 104 105 146 147 114 115 156 157 124 125 148 149 140 134 135 158 159 144 145 160 154 155:3 7 3 7 3 3 7 7 3 7 3 7 3 3 7 7,6 3 4 4 6 3 4 3 3 6 4 6 4 3 4 3 4 3 3 4> {(0, 59): 't2*tau3^-1', (1, 123): 't2*tau3^-1*t1^-1', (2, 59): 't2', (1, 112): 't1', (0, 49): 't3*tau2', (2, 49): 't3', (2, 36): 't1', (2, 37): 't1', (2, 38): 't1', (2, 39): 't1', (2, 35): 't1', (2, 156): 't1^-1', (2, 158): 't1^-1*tau3^-1*t2', (2, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 30): 't1', (0, 159): 'tau2^-1*t3^-1', (0, 29): 't1^-1', (2, 20): 't1^-1', (1, 83): 'tau3*t2^-1', (1, 82): 't1^-1', (0, 150): 't1^-1', (2, 147): 'tau2*t3', (2, 140): 't1', (2, 137): 't2^-1*tau3*t1', (2, 139): 'tau1', (2, 128): 't3^-1*tau2^-1', (1, 63): 'tau2^-1*t3^-1', (2, 117): 'tau3^-1*t2', (2, 118): 'tau3^-1*t2', (2, 119): 'tau3^-1', (2, 115): 't1', (2, 108): 'tau2*t3', (2, 109): 'tau2', (2, 107): 'tau2*t3', (1, 153): 'tau2^-1*t3^-1', (1, 23): 't1^-1', (0, 149): 't1*tau3*t2^-1'}