U-tiling: UQC1802
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1345 |
*22222 |
(2,5,4) |
{5,5} |
{4.3.6.3.4}{3.6.4.4.6} |
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
|
|
sqc431
|
|
Pmmm |
47 |
orthorhombic |
{5,5} |
4 |
(2,5) |
|
G
|
False
|
|
sqc9675
|
|
Fddd |
70 |
orthorhombic |
{5,5} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3592
|
|
Cmma |
67 |
orthorhombic |
{5,5} |
8 |
(2,5) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {4.3.6.3.4}{3.6.4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.2:160:81 42 43 6 7 28 29 20 101 52 53 16 17 38 39 121 62 63 26 27 40 141 72 73 36 37 111 46 47 68 69 60 91 56 57 78 79 151 66 67 80 131 76 77 112 113 86 87 128 129 110 102 103 96 97 138 139 120 106 107 148 149 116 117 158 159 152 153 126 127 150 142 143 136 137 160 146 147 156 157,2 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 98 100 102 104 108 110 112 114 118 120 122 124 156 128 130 132 134 146 138 140 142 144 148 150 152 154 158 160,91 3 5 7 9 50 111 13 15 17 19 60 131 23 25 27 29 70 151 33 35 37 39 80 101 43 45 47 49 81 53 55 57 59 141 63 65 67 69 121 73 75 77 79 83 85 87 89 120 93 95 97 99 110 103 105 107 109 113 115 117 119 123 125 127 129 160 133 135 137 139 150 143 145 147 149 153 155 157 159:4 3 6 4 4 3 6 4 3 4 3 6 4 6 3 4 3 4 3 3,5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5> {(0, 157): 't2', (2, 0): 't3', (0, 118): 't2^-1', (0, 60): 'tau3^-1', (2, 29): 't1^-1', (0, 31): 't1^-1', (0, 62): 't1', (0, 20): 'tau2^-1', (0, 129): 't3^-1*tau1*t2', (1, 114): 't2^-1', (0, 32): 't1^-1', (1, 104): 't2', (0, 131): 'tau2^-1*t1*tau3', (2, 10): 't2', (0, 98): 't3^-1', (0, 152): 'tau3*t1*tau2^-1', (0, 142): 'tau3^-1*t1^-1*tau2', (1, 84): 't3', (0, 119): 'tau1', (0, 61): 't1', (1, 35): 't1^-1', (2, 149): 'tau3^-1*t1^-1*tau2', (1, 25): 't1^-1', (0, 137): 't3', (0, 127): 't3^-1', (0, 89): 'tau1', (0, 30): 'tau3', (0, 139): 't3*tau1^-1*t2^-1', (2, 50): 't3^-1', (2, 39): 't1^-1', (1, 135): 'tau2^-1*t1*tau3', (0, 151): 'tau3*t1*tau2^-1', (0, 128): 't3^-1', (0, 147): 't2^-1', (0, 108): 't2', (2, 159): 'tau3*t1*tau2^-1', (0, 130): 'tau2^-1', (1, 125): 'tau2*t1^-1*tau3^-1', (2, 40): 't2^-1', (1, 94): 't3^-1', }