U-tiling: UQC4579
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1489 |
*22222 |
(4,5,2) |
{4,3,6,4} |
{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5.... |
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
|
True
|
|
sqc9289
|
|
P4/mmm |
123 |
tetragonal |
{4,3,6,3} |
20 |
(4,5) |
|
G
|
False
|
|
sqc9596
|
|
I4122 |
98 |
tetragonal |
{4,3,6,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3795
|
|
P4222 |
93 |
tetragonal |
{3,6,4,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,3,6,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.5:160:11 3 5 7 9 50 13 15 17 19 60 31 23 25 27 29 70 33 35 37 39 90 71 43 45 47 49 91 53 55 57 59 101 63 65 67 69 73 75 77 79 130 111 83 85 87 89 93 95 97 99 140 103 105 107 109 150 113 115 117 119 160 131 123 125 127 129 133 135 137 139 151 143 145 147 149 153 155 157 159,2 4 15 46 8 10 12 14 56 18 20 22 24 35 66 28 30 32 34 86 38 40 42 44 75 48 50 52 54 95 58 60 62 64 105 68 70 72 74 126 78 80 82 84 115 88 90 92 94 136 98 100 102 104 146 108 110 112 114 156 118 120 122 124 135 128 130 132 134 138 140 142 144 155 148 150 152 154 158 160,21 42 43 6 7 28 29 100 31 52 53 16 17 38 39 80 62 63 26 27 120 82 83 36 37 110 61 46 47 68 69 140 81 56 57 88 89 130 66 67 160 101 122 123 76 77 108 109 86 87 150 111 132 133 96 97 118 119 142 143 106 107 152 153 116 117 141 126 127 148 149 151 136 137 158 159 146 147 156 157:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 3 6 4 4 3 4 3 3 6 4 6 4 4 3 4 3 3 3 6> {(2, 57): 't2*tau3^-1', (2, 58): 't2*tau3^-1', (0, 50): 't2', (0, 150): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 115): 't1', (1, 114): 'tau3^-1', (2, 48): 't3*tau2', (1, 104): 'tau2', (0, 40): 't3', (2, 47): 't3*tau2', (2, 32): 't1', (0, 39): 't1', (1, 124): 'tau1^-1', (2, 28): 't1^-1', (2, 29): 't1^-1', (2, 30): 't1', (2, 31): 't1', (0, 30): 't1', (0, 60): 'tau2^-1', (1, 94): 't2^-1', (2, 148): 't1*tau3*t2^-1', (2, 149): 't1', (2, 150): 't1^-1*tau3^-1*t2', (2, 151): 't1^-1', (1, 85): 't1^-1', (2, 147): 't1*tau3*t2^-1', (2, 140): 'tau2*t3', (1, 74): 't3^-1', (2, 137): 't3*tau2', (2, 138): 't3*tau2', (0, 130): 'tau1', (2, 112): 't1', (0, 119): 't1', (2, 110): 'tau3^-1*t2', (0, 110): 'tau3^-1', (2, 100): 'tau2*t3', (1, 34): 't1', (1, 144): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 27): 't1^-1'}