U-tiling: UQC682
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
|
False
|
|
sqc1928
|
|
Fmmm |
69 |
orthorhombic |
{6,4} |
6 |
(2,5) |
|
G
|
False
|
|
sqc7737
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc112
|
|
Pmmm |
47 |
orthorhombic |
{4,6} |
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
<19.2:128:65 3 68 69 38 39 16 81 11 84 85 46 47 97 19 100 101 54 55 32 113 27 116 117 62 63 89 35 92 93 48 73 43 76 77 121 51 124 125 64 105 59 108 109 67 94 95 88 75 86 87 96 83 91 99 126 127 120 107 118 119 128 115 123,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,73 18 19 5 7 24 89 26 27 13 15 32 105 21 23 121 29 31 81 50 51 37 39 56 65 58 59 45 47 64 113 53 55 97 61 63 98 99 69 71 104 106 107 77 79 112 114 115 85 87 120 122 123 93 95 128 101 103 109 111 117 119 125 127:4 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, 97): 't3^-1', (0, 16): 'tau2^-1', (0, 126): 'tau3*t1*tau2^-1', (2, 0): 't3', (0, 51): 'tau3^-1', (0, 60): 'tau2', (2, 111): 't3', (0, 95): 'tau1', (0, 53): 't1', (0, 62): 't1', (0, 20): 'tau2^-1', (2, 114): 't2^-1', (0, 119): 't2^-1*tau1^-1*t3', (0, 125): 'tau3*t1*tau2^-1', (2, 127): 't2', (0, 24): 'tau3', (2, 8): 't2', (0, 59): 'tau2', (2, 98): 't3^-1', (2, 81): 't2', (0, 118): 'tau3^-1*t1^-1*tau2', (0, 48): 'tau3^-1', (0, 61): 't1', (2, 32): 't2^-1', (0, 19): 'tau2^-1', (0, 28): 'tau3', (2, 121): 't2', (0, 52): 'tau3^-1', (2, 103): 't3^-1', (0, 87): 'tau1^-1', (0, 127): 't2*tau1*t3^-1', (0, 54): 't1', (2, 106): 't3', (2, 73): 't3^-1', (0, 56): 'tau2', (2, 90): 't2^-1', (2, 40): 't3^-1', (0, 27): 'tau3', (0, 117): 'tau3^-1*t1^-1*tau2', (2, 119): 't2^-1', }