U-tiling: UQC699
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc603 |
*22222 |
(2,5,3) |
{4,8} |
{4.4.4.4}{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
|
|
sqc55
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
3 |
(2,5) |
|
G
|
False
|
|
sqc7735
|
|
Fddd |
70 |
orthorhombic |
{4,8} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1788
|
|
Cmma |
67 |
orthorhombic |
{8,4} |
6 |
(2,5) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.4:128:9 18 19 5 22 23 80 26 27 13 30 31 96 25 21 112 29 128 41 50 51 37 54 55 88 58 59 45 62 63 72 57 53 120 61 104 81 98 99 69 102 103 89 106 107 77 110 111 114 115 85 118 119 122 123 93 126 127 113 101 121 109 117 125,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,33 3 36 37 7 72 41 11 44 45 15 88 49 19 52 53 23 104 57 27 60 61 31 120 35 39 96 43 47 80 51 55 128 59 63 112 89 67 92 93 71 81 75 84 85 79 83 87 91 95 121 99 124 125 103 113 107 116 117 111 115 119 123 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 8 4 8 4 8 4 4 4 4> {(0, 39): 't2^-1', (0, 80): 'tau1^-1', (0, 126): 't2', (2, 120): 'tau3*t1*tau2^-1', (2, 112): 'tau3^-1*t1^-1*tau2', (2, 51): 't1', (2, 56): 't1', (0, 102): 't3^-1', (2, 123): 'tau3*t1*tau2^-1', (0, 121): 't2', (0, 109): 't3', (0, 110): 't3', (2, 63): 'tau2', (0, 98): 't3^-1', (0, 47): 't3^-1', (0, 118): 't2^-1', (0, 88): 'tau1', (0, 101): 't3^-1', (2, 23): 'tau2^-1', (0, 7): 't3', (0, 112): 't2^-1*tau1^-1*t3', (2, 59): 't1', (0, 125): 't2', (0, 73): 't3^-1', (2, 52): 't1', (0, 114): 't2^-1', (0, 122): 't2', (0, 97): 't3^-1', (0, 106): 't3', (2, 116): 'tau3^-1*t1^-1*tau2', (2, 48): 't1', (0, 113): 't2^-1', (2, 31): 'tau3', (0, 15): 't2', (0, 120): 't2*tau1*t3^-1', (0, 117): 't2^-1', (2, 124): 'tau3*t1*tau2^-1', (2, 115): 'tau3^-1*t1^-1*tau2', (2, 55): 'tau3^-1', (2, 60): 't1', }