U-tiling: UQC4596
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1490 |
*22222 |
(4,5,2) |
{4,3,3,4} |
{5.5.5.5}{5.10.5}{5.10.10}{10.10... |
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
|
|
sqc3081
|
|
Fmmm |
69 |
orthorhombic |
{4,3,3,3} |
12 |
(4,5) |
|
G
|
False
|
|
sqc9636
|
|
Fddd |
70 |
orthorhombic |
{4,3,3,4} |
24 |
(4,6) |
|
D
|
False
|
|
sqc474
|
|
Pmmm |
47 |
orthorhombic |
{4,3,3,4} |
6 |
(4,5) |
Topological data
| Vertex degrees | {4,3,3,4} |
| 2D vertex symbol | {5.5.5.5}{5.10.5}{5.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.2:160:91 3 5 7 9 20 111 13 15 17 19 131 23 25 27 29 40 151 33 35 37 39 101 43 45 47 49 60 81 53 55 57 59 141 63 65 67 69 80 121 73 75 77 79 83 85 87 89 110 93 95 97 99 120 103 105 107 109 113 115 117 119 123 125 127 129 150 133 135 137 139 160 143 145 147 149 153 155 157 159,2 4 95 46 8 10 12 14 115 56 18 20 22 24 135 66 28 30 32 34 155 76 38 40 42 44 105 48 50 52 54 85 58 60 62 64 145 68 70 72 74 125 78 80 82 84 116 88 90 92 94 106 98 100 102 104 108 110 112 114 118 120 122 124 156 128 130 132 134 146 138 140 142 144 148 150 152 154 158 160,81 42 43 6 7 98 99 30 101 52 53 16 17 118 119 40 121 62 63 26 27 138 139 141 72 73 36 37 158 159 111 46 47 108 109 70 91 56 57 88 89 80 151 66 67 148 149 131 76 77 128 129 112 113 86 87 130 102 103 96 97 140 106 107 150 116 117 160 152 153 126 127 142 143 136 137 146 147 156 157:5 10 5 5 10 5 5 5 5 5 10 10,4 3 3 4 4 3 3 4 4 3 3 4 3 3 3 4 3 4 3 3 3 3 3 3> {(2, 60): 'tau3^-1', (2, 61): 't1', (2, 62): 't1', (1, 125): 'tau2*t1^-1*tau3^-1', (2, 57): 't3^-1', (2, 58): 't3^-1', (0, 50): 't3^-1', (1, 114): 't2^-1', (2, 48): 't2^-1', (2, 17): 't2', (1, 104): 't2', (0, 40): 't2^-1', (2, 47): 't2^-1', (2, 32): 't1^-1', (2, 30): 'tau3', (2, 31): 't1^-1', (2, 152): 'tau3*t1*tau2^-1', (0, 159): 't2*tau1*t3^-1', (1, 94): 't3^-1', (2, 20): 'tau2^-1', (2, 151): 'tau3*t1*tau2^-1', (1, 84): 't3', (2, 18): 't2', (0, 149): 't2^-1*tau1^-1*t3', (0, 10): 't2', (2, 141): 'tau3^-1*t1^-1*tau2', (2, 142): 'tau3^-1*t1^-1*tau2', (2, 8): 't3', (2, 139): 't3', (1, 65): 't1', (0, 0): 't3', (2, 7): 't3', (2, 129): 't3^-1', (2, 130): 'tau2^-1', (2, 119): 't2^-1', (0, 119): 'tau1', (2, 109): 't2', (0, 109): 'tau1^-1', (1, 35): 't1^-1', (1, 145): 'tau3^-1*t1^-1*tau2'}