U-tiling: UQC711
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc61 |
*2224 |
(1,3,2) |
{4} |
{4.8.8.4} |
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
|
|
sqc1383
|
|
Fmmm |
69 |
orthorhombic |
{3,4} |
8 |
(2,5) |
|
G
|
False
|
|
sqc7754
|
|
Fddd |
70 |
orthorhombic |
{4,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc156
|
|
Pmmm |
47 |
orthorhombic |
{4,4} |
4 |
(2,5) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.8.4}{8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.2:128:65 34 35 5 14 15 24 81 42 43 13 32 97 50 51 21 30 31 113 58 59 29 89 37 46 47 56 73 45 64 121 53 62 63 105 61 90 91 69 86 87 104 82 83 77 94 95 112 85 120 93 128 122 123 101 118 119 114 115 109 126 127 117 125,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,73 3 76 77 7 80 89 11 92 93 15 96 105 19 108 109 23 112 121 27 124 125 31 128 81 35 84 85 39 88 65 43 68 69 47 72 113 51 116 117 55 120 97 59 100 101 63 104 67 71 75 79 83 87 91 95 99 103 107 111 115 119 123 127:4 8 4 4 4 8 4 4 8 4 4 8,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 103): 't3^-1', (0, 16): 'tau2^-1', (2, 0): 't3', (0, 121): 'tau3*t1*tau2^-1', (2, 47): 't3^-1', (0, 117): 't2^-1*tau1^-1*t3', (0, 126): 't2*tau1*t3^-1', (2, 7): 't3', (2, 12): 't2', (0, 119): 't2^-1', (0, 77): 'tau1^-1', (2, 43): 't3^-1', (0, 86): 'tau1^-1', (0, 57): 't1', (2, 36): 't2^-1', (0, 111): 't3', (0, 24): 'tau3', (2, 3): 't3', (2, 8): 't2', (0, 69): 'tau1', (0, 48): 'tau3^-1', (0, 125): 't2*tau1*t3^-1', (2, 32): 't2^-1', (2, 15): 't2', (0, 50): 't1', (0, 127): 't2', (0, 114): 'tau3^-1*t1^-1*tau2', (0, 122): 'tau3*t1*tau2^-1', (2, 39): 't2^-1', (2, 44): 't3^-1', (0, 78): 'tau1^-1', (2, 11): 't2', (0, 118): 't2^-1*tau1^-1*t3', (0, 113): 'tau3^-1*t1^-1*tau2', (2, 4): 't3', (0, 56): 'tau2', (2, 35): 't2^-1', (2, 40): 't3^-1', (0, 49): 't1', (0, 58): 't1', }