U-tiling: UQC683
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc573 |
*22222 |
(2,5,3) |
{6,4} |
{4.4.4.4.4.4}{4.4.4.4} |
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
|
False
|
|
sqc112
|
|
Pmmm |
47 |
orthorhombic |
{4,6} |
3 |
(2,5) |
|
G
|
False
|
|
sqc7589
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1929
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.5:128:17 3 20 21 78 79 72 25 11 28 29 94 95 88 19 110 111 104 27 126 127 120 49 35 52 53 86 87 96 57 43 60 61 70 71 80 51 118 119 128 59 102 103 112 97 67 100 101 105 75 108 109 113 83 116 117 121 91 124 125 99 107 115 123,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,9 34 35 5 7 40 42 43 13 15 48 25 50 51 21 23 56 58 59 29 31 64 41 37 39 45 47 57 53 55 61 63 81 90 91 69 71 96 89 82 83 77 79 88 85 87 93 95 113 122 123 101 103 128 121 114 115 109 111 120 117 119 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 6 4 6 6 4 6 6 4 6 6> {(2, 97): 'tau2*t1^-1*tau3^-1', (0, 6): 't3', (0, 115): 't2^-1', (2, 58): 't1', (0, 112): 't2^-1', (0, 31): 'tau3', (2, 120): 't2*tau1*t3^-1', (0, 107): 't3', (0, 116): 't2^-1', (0, 55): 'tau3^-1', (0, 111): 'tau2^-1', (0, 45): 't3^-1', (2, 64): 'tau1', (0, 76): 't3^-1', (2, 63): 't1', (0, 124): 't2', (2, 113): 'tau3^-1*t1^-1*tau2', (0, 5): 't3', (0, 14): 't2', (0, 123): 't2', (0, 100): 't3^-1', (2, 122): 'tau3*t1*tau2^-1', (2, 17): 't1^-1', (0, 38): 't2^-1', (2, 114): 'tau3^-1*t1^-1*tau2', (0, 96): 't3^-1', (2, 57): 't1', (0, 104): 't3', (2, 50): 't1', (0, 23): 'tau2^-1', (0, 13): 't2', (2, 112): 't2^-1*tau1^-1*t3', (0, 99): 't3^-1', (2, 119): 'tau3^-1*t1^-1*tau2', (2, 127): 'tau3*t1*tau2^-1', (0, 120): 't2', (0, 37): 't2^-1', (0, 46): 't3^-1', (2, 72): 'tau1^-1', (2, 55): 't1', }