U-tiling: UQC862
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc644 |
*22222 |
(2,4,3) |
{6,4} |
{4.6.3.3.6.4}{6.3.6.3} |
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
|
|
sqc123
|
|
Pmmm |
47 |
orthorhombic |
{4,6} |
3 |
(2,4) |
|
G
|
False
|
|
sqc7657
|
|
Fddd |
70 |
orthorhombic |
{6,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1884
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
6 |
(2,4) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.6.3.3.6.4}{6.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.4:128:9 18 19 6 7 72 26 27 14 15 88 25 22 23 104 30 31 120 41 50 51 38 39 96 58 59 46 47 80 57 54 55 128 62 63 112 81 98 99 70 71 89 106 107 78 79 114 115 86 87 122 123 94 95 113 102 103 121 110 111 118 119 126 127,2 4 8 78 71 10 12 16 94 87 18 20 24 110 103 26 28 32 126 119 34 36 40 86 95 42 44 48 70 79 50 52 56 118 127 58 60 64 102 111 66 68 72 74 76 80 82 84 88 90 92 96 98 100 104 106 108 112 114 116 120 122 124 128,33 3 5 7 40 41 11 13 15 48 49 19 21 23 56 57 27 29 31 64 35 37 39 43 45 47 51 53 55 59 61 63 89 67 69 71 96 81 75 77 79 88 83 85 87 91 93 95 121 99 101 103 128 113 107 109 111 120 115 117 119 123 125 127:4 6 3 6 3 3 3 4 6 3 6 3 3 3 4 4,6 4 6 4 6 4 6 4 6 6 6 6> {(2, 120): 'tau3*t1*tau2^-1', (1, 118): 'tau3^-1', (0, 121): 't2', (0, 31): 'tau3', (1, 77): 't3^-1', (2, 56): 't1', (1, 110): 'tau2^-1', (0, 64): 'tau1', (0, 55): 'tau3^-1', (2, 119): 'tau3^-1*t1^-1*tau2', (2, 63): 't1', (0, 98): 't3^-1', (1, 93): 't2^-1', (1, 126): 'tau3', (0, 88): 'tau1', (0, 112): 't2^-1*tau1^-1*t3', (2, 112): 'tau3^-1*t1^-1*tau2', (0, 73): 't3^-1', (0, 114): 't2^-1', (0, 63): 'tau2', (1, 37): 't2^-1', (0, 97): 't3^-1', (0, 106): 't3', (0, 23): 'tau2^-1', (1, 69): 't3', (2, 48): 't1', (1, 102): 'tau2', (0, 113): 't2^-1', (0, 120): 't2*tau1*t3^-1', (2, 127): 'tau3*t1*tau2^-1', (2, 55): 't1', (0, 122): 't2', }