U-tiling: UQC1018
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc32 |
*2223 |
(1,2,2) |
{6} |
{3.4.4.3.4.4} |
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
|
|
sqc2156
|
|
Fmmm |
69 |
orthorhombic |
{5,6} |
6 |
(2,5) |
|
G
|
False
|
|
sqc8657
|
|
Fddd |
70 |
orthorhombic |
{6,6} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2672
|
|
Cmma |
67 |
orthorhombic |
{6,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.3.4.4.3.4}{3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.3:144:37 4 5 42 88 89 27 46 13 14 51 106 107 36 55 22 23 60 124 125 64 31 32 69 142 143 40 41 97 98 63 49 50 79 80 72 58 59 133 134 67 68 115 116 100 76 77 105 117 91 85 86 96 126 94 95 135 103 104 144 136 112 113 141 127 121 122 132 130 131 139 140,2 84 6 7 9 11 102 15 16 18 20 120 24 25 27 29 138 33 34 36 38 93 42 43 45 47 75 51 52 54 56 129 60 61 63 65 111 69 70 72 74 78 79 81 83 87 88 90 92 96 97 99 101 105 106 108 110 114 115 117 119 123 124 126 128 132 133 135 137 141 142 144,73 3 5 15 8 18 91 12 14 17 109 21 23 33 26 36 127 30 32 35 100 39 41 51 44 54 82 48 50 53 136 57 59 69 62 72 118 66 68 71 75 77 96 80 99 84 86 105 89 108 93 95 98 102 104 107 111 113 132 116 135 120 122 141 125 144 129 131 134 138 140 143:4 3 4 4 3 4 4 3 4 3 3 4 3 4 3 3 4 4 4 4,6 6 6 6 6 6 6 6 6 6 6 6> {(0, 16): 't2', (2, 27): 'tau3', (0, 6): 't3', (0, 51): 't3^-1', (2, 95): 'tau1^-1', (0, 80): 't3', (0, 126): 'tau3^-1*t1^-1*tau2', (0, 43): 't2^-1', (2, 18): 'tau2^-1', (2, 140): 't2*tau1*t3^-1', (0, 15): 't2', (2, 107): 'tau1', (1, 83): 't3^-1', (0, 131): 'tau3^-1*t1^-1*tau2', (0, 140): 'tau3*t1*tau2^-1', (2, 63): 'tau2', (0, 98): 't2', (2, 131): 't2^-1*tau1^-1*t3', (0, 59): 't1', (2, 98): 'tau1^-1', (0, 7): 't3', (2, 54): 'tau3^-1', (0, 125): 't3', (0, 143): 't2', (2, 143): 't2*tau1*t3^-1', (0, 32): 't1^-1', (1, 101): 't2^-1', (0, 63): 't1', (0, 52): 't3^-1', (0, 42): 't2^-1', (2, 134): 't2^-1*tau1^-1*t3', (0, 54): 't1', (0, 108): 'tau2*t1^-1*tau3^-1', (1, 92): 't2', (1, 74): 't3', (2, 104): 'tau1', }