U-tiling: UQC681
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
|
True
|
|
sqc1309
|
|
Fmmm |
69 |
orthorhombic |
{5,4} |
6 |
(2,5) |
|
G
|
False
|
|
sqc7812
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc151
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
3 |
(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
<19.3:128:33 3 36 37 14 15 24 41 11 44 45 32 49 19 52 53 30 31 57 27 60 61 35 46 47 56 43 64 51 62 63 59 89 67 92 93 86 87 104 81 75 84 85 94 95 112 83 120 91 128 121 99 124 125 118 119 113 107 116 117 126 127 115 123,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,65 74 75 5 7 80 81 90 91 13 15 96 97 106 107 21 23 112 113 122 123 29 31 128 89 82 83 37 39 88 73 66 67 45 47 72 121 114 115 53 55 120 105 98 99 61 63 104 69 71 77 79 85 87 93 95 101 103 109 111 117 119 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 6 6 6 6> {(2, 33): 't2^-1', (0, 71): 't3', (0, 126): 't2*tau1*t3^-1', (0, 51): 't1', (0, 60): 't1', (2, 47): 't3^-1', (0, 112): 'tau3^-1*t1^-1*tau2', (0, 117): 't2^-1*tau1^-1*t3', (2, 56): 'tau2', (2, 7): 't3', (0, 116): 'tau3^-1*t1^-1*tau2', (0, 115): 'tau3^-1*t1^-1*tau2', (0, 79): 't3^-1', (2, 16): 'tau2^-1', (2, 10): 't2', (0, 120): 'tau3*t1*tau2^-1', (2, 41): 't3^-1', (0, 118): 't2^-1*tau1^-1*t3', (0, 78): 'tau1^-1', (0, 59): 't1', (2, 34): 't2^-1', (0, 124): 'tau3*t1*tau2^-1', (2, 1): 't3', (0, 48): 't1', (0, 125): 't2*tau1*t3^-1', (2, 15): 't2', (0, 127): 't2', (0, 123): 'tau3*t1*tau2^-1', (0, 85): 'tau1^-1', (2, 24): 'tau3', (0, 52): 't1', (2, 39): 't2^-1', (0, 87): 't2', (0, 77): 'tau1^-1', (2, 48): 'tau3^-1', (2, 42): 't3^-1', (0, 86): 'tau1^-1', (2, 9): 't2', (0, 56): 't1', (2, 2): 't3', }