U-tiling: UQC685
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
|
|
sqc1110
|
|
Fmmm |
69 |
orthorhombic |
{5,3} |
6 |
(2,5) |
|
G
|
False
|
|
sqc7621
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc122
|
|
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
<19.1:128:73 3 76 77 70 71 40 89 11 92 93 86 87 48 105 19 108 109 102 103 56 121 27 124 125 118 119 64 81 35 84 85 94 95 65 43 68 69 78 79 113 51 116 117 126 127 97 59 100 101 110 111 67 96 75 88 83 91 99 128 107 120 115 123,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,17 10 11 5 7 16 25 13 15 26 27 21 23 32 29 31 49 42 43 37 39 48 57 45 47 58 59 53 55 64 61 63 97 82 83 69 71 88 105 90 91 77 79 96 113 85 87 121 93 95 114 115 101 103 120 122 123 109 111 128 117 119 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 6 4 6 6 4 6 4 6 6 6> {(2, 97): 't3^-1*tau1*t2', (0, 29): 'tau3', (2, 120): 't2', (2, 122): 't2*tau1*t3^-1', (2, 112): 't2^-1', (0, 8): 't2', (0, 53): 'tau3^-1', (0, 62): 'tau2', (0, 43): 't3^-1', (0, 55): 't1', (0, 32): 't2^-1', (0, 22): 'tau2^-1', (0, 3): 't3', (0, 12): 't2', (2, 127): 't2*tau1*t3^-1', (0, 36): 't2^-1', (2, 87): 'tau1^-1', (0, 119): 'tau3^-1*t1^-1*tau2', (0, 61): 'tau2', (2, 96): 't3^-1', (0, 0): 't3', (0, 63): 't1', (0, 40): 't3^-1', (0, 21): 'tau2^-1', (0, 30): 'tau3', (0, 11): 't2', (2, 114): 't2^-1*tau1^-1*t3', (2, 66): 'tau1', (2, 81): 'tau1^-1', (0, 127): 'tau3*t1*tau2^-1', (0, 54): 'tau3^-1', (0, 35): 't2^-1', (0, 44): 't3^-1', (2, 95): 'tau1', (2, 73): 'tau1^-1', (2, 121): 't2*tau1*t3^-1', (2, 104): 't3', (0, 4): 't3', (2, 119): 't2^-1*tau1^-1*t3', (2, 74): 'tau1^-1', }