U-tiling: UQC3899
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc51 |
*2223 |
(2,2,1) |
{4,3} |
{6.6.6.6}{6.6.6} |
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
|
|
sqc2873
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4} |
10 |
(3,5) |
|
G
|
False
|
|
sqc8831
|
|
Fddd |
70 |
orthorhombic |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc3027
|
|
Cmma |
67 |
orthorhombic |
{4,3,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.2:144:82 3 5 42 8 45 100 12 14 51 17 54 118 21 23 60 26 63 136 30 32 69 35 72 91 39 41 44 73 48 50 53 127 57 59 62 109 66 68 71 75 77 105 80 108 84 86 96 89 99 93 95 98 102 104 107 111 113 141 116 144 120 122 132 125 135 129 131 134 138 140 143,2 21 6 7 9 11 30 15 16 18 20 24 25 27 29 33 34 36 38 57 42 43 45 47 66 51 52 54 56 60 61 63 65 69 70 72 74 111 78 79 81 83 120 87 88 90 92 129 96 97 99 101 138 105 106 108 110 114 115 117 119 123 124 126 128 132 133 135 137 141 142 144,73 4 5 78 25 26 18 91 13 14 96 34 35 109 22 23 114 36 127 31 32 132 100 40 41 105 61 62 54 82 49 50 87 70 71 136 58 59 141 72 118 67 68 123 76 77 115 116 99 85 86 124 125 108 94 95 133 134 103 104 142 143 112 113 135 121 122 144 130 131 139 140:6 6 6 6 6 6 6 6 6 6 6 6,4 3 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 3> {(0, 59): 't1', (2, 63): 'tau2', (0, 62): 't1', (2, 59): 'tau3^-1', (2, 54): 'tau3^-1', (1, 110): 't3^-1', (1, 119): 't3', (0, 45): 't3^-1', (0, 35): 't1^-1', (0, 32): 't1^-1', (1, 101): 't2^-1', (0, 36): 't2^-1', (1, 92): 't2', (2, 27): 'tau3', (2, 32): 'tau3', (2, 23): 'tau2^-1', (2, 18): 'tau2^-1', (2, 141): 't2', (2, 142): 't2', (2, 143): 't2*tau1*t3^-1', (0, 143): 'tau3*t1*tau2^-1', (0, 140): 'tau3*t1*tau2^-1', (2, 132): 't2^-1', (0, 131): 'tau3^-1*t1^-1*tau2', (0, 0): 't3', (0, 134): 'tau3^-1*t1^-1*tau2', (2, 124): 't3', (2, 122): 'tau2^-1', (2, 116): 't3^-1*tau1*t2', (2, 114): 't3^-1', (2, 115): 't3^-1', (2, 107): 'tau1', (0, 99): 't2^-1', (2, 97): 't2', (2, 98): 'tau1^-1', (2, 87): 't3^-1'}