U-tiling: UQC741
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc612 |
*22222 |
(2,4,3) |
{5,6} |
{4.3.6.3.4}{3.6.6.3.6.6} |
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
|
|
sqc1968
|
|
Fmmm |
69 |
orthorhombic |
{5,6} |
6 |
(2,4) |
|
G
|
False
|
|
sqc7828
|
|
Fddd |
70 |
orthorhombic |
{6,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc126
|
|
Pmmm |
47 |
orthorhombic |
{5,6} |
3 |
(2,4) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.3.6.3.4}{3.6.6.3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.2:128:65 4 5 22 23 16 81 12 13 30 31 97 20 21 32 113 28 29 89 36 37 54 55 48 73 44 45 62 63 121 52 53 64 105 60 61 68 69 102 103 88 76 77 110 111 96 84 85 118 119 92 93 126 127 100 101 120 108 109 128 116 117 124 125,2 19 36 6 8 10 27 44 14 16 18 52 22 24 26 60 30 32 34 51 38 40 42 59 46 48 50 54 56 58 62 64 66 99 92 70 72 74 107 84 78 80 82 115 86 88 90 123 94 96 98 124 102 104 106 116 110 112 114 118 120 122 126 128,73 3 5 7 40 89 11 13 15 48 105 19 21 23 56 121 27 29 31 64 81 35 37 39 65 43 45 47 113 51 53 55 97 59 61 63 67 69 71 96 75 77 79 88 83 85 87 91 93 95 99 101 103 128 107 109 111 120 115 117 119 123 125 127:6 3 4 6 3 6 6 3 4 3 3 4 3 4 3 3,6 5 6 5 5 5 6 6 5 5 5 5> {(1, 98): 't3^-1', (0, 16): 'tau2^-1', (0, 126): 't2', (2, 0): 't3', (2, 127): 'tau3*t1*tau2^-1', (0, 95): 'tau1', (1, 51): 't1', (0, 117): 't2^-1', (1, 123): 'tau3*t1*tau2^-1', (1, 114): 't2^-1', (0, 109): 't3', (0, 110): 't3', (2, 63): 't1', (1, 106): 't3', (0, 24): 'tau3', (0, 69): 't3', (2, 8): 't2', (0, 48): 'tau3^-1', (0, 125): 't2', (2, 32): 't2^-1', (0, 119): 't2^-1*tau1^-1*t3', (0, 70): 't3', (1, 122): 't2', (0, 87): 'tau1^-1', (0, 127): 't2*tau1*t3^-1', (1, 59): 't1', (1, 115): 'tau3^-1*t1^-1*tau2', (2, 119): 'tau3^-1*t1^-1*tau2', (0, 86): 't2', (0, 56): 'tau2', (2, 40): 't3^-1', (2, 55): 't1', }