U-tiling: UQC789
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc620 |
*22222 |
(2,4,3) |
{5,3} |
{4.6.6.6.4}{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
|
|
sqc2030
|
|
Fmmm |
69 |
orthorhombic |
{3,5} |
8 |
(2,4) |
|
G
|
False
|
|
sqc7691
|
|
Fddd |
70 |
orthorhombic |
{3,5} |
16 |
(2,5) |
|
D
|
False
|
|
sqc138
|
|
Pmmm |
47 |
orthorhombic |
{5,3} |
4 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.6.6.6.4}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.4:128:9 4 5 70 71 80 12 13 86 87 96 25 20 21 102 103 112 28 29 118 119 128 41 36 37 94 95 88 44 45 78 79 72 57 52 53 126 127 120 60 61 110 111 104 81 68 69 89 76 77 84 85 92 93 113 100 101 121 108 109 116 117 124 125,2 35 20 6 8 10 43 28 14 16 18 51 22 24 26 59 30 32 34 52 38 40 42 60 46 48 50 54 56 58 62 64 66 91 100 70 72 74 83 108 78 80 82 116 86 88 90 124 94 96 98 123 102 104 106 115 110 112 114 118 120 122 126 128,33 3 5 7 24 41 11 13 15 32 49 19 21 23 57 27 29 31 35 37 39 56 43 45 47 64 51 53 55 59 61 63 89 67 69 71 104 81 75 77 79 112 83 85 87 120 91 93 95 128 121 99 101 103 113 107 109 111 115 117 119 123 125 127:6 6 4 6 4 6 4 6 4 6 6 6,3 5 3 5 3 3 5 5 3 5 3 5 5 5 3 3> {(0, 39): 't2^-1', (0, 80): 'tau1^-1', (0, 29): 'tau3', (2, 56): 't1', (2, 112): 'tau3^-1*t1^-1*tau2', (2, 111): 't3', (1, 91): 't2^-1', (0, 53): 'tau3^-1', (0, 62): 'tau2', (1, 114): 'tau3^-1*t1^-1*tau2', (1, 83): 't2', (2, 127): 't2', (2, 96): 'tau2*t1^-1*tau3^-1', (0, 47): 't3^-1', (0, 88): 'tau1', (2, 87): 't2', (0, 7): 't3', (0, 112): 't2^-1*tau1^-1*t3', (0, 61): 'tau2', (1, 99): 't3^-1', (0, 22): 'tau2^-1', (1, 122): 'tau3*t1*tau2^-1', (0, 21): 'tau2^-1', (0, 30): 'tau3', (2, 103): 't3^-1', (1, 18): 't1^-1', (1, 58): 't1', (0, 54): 'tau3^-1', (0, 15): 't2', (0, 120): 't2*tau1*t3^-1', (1, 107): 't3', (2, 48): 't1', }