U-tiling: UQC551
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc363 |
*22222 |
(2,3,3) |
{5,4} |
{4.6.4.6.4}{6.4.6.4} |
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
|
|
sqc1366
|
|
Fmmm |
69 |
orthorhombic |
{5,4} |
6 |
(2,3) |
|
G
|
False
|
|
sqc6585
|
|
Fddd |
70 |
orthorhombic |
{5,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc65
|
|
Pmmm |
47 |
orthorhombic |
{4,5} |
3 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.6.4.6.4}{6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:112:64 58 59 6 7 78 72 73 13 14 92 86 87 20 21 106 100 101 27 28 71 79 80 34 35 57 65 66 41 42 99 107 108 48 49 85 93 94 55 56 62 63 69 70 76 77 83 84 90 91 97 98 104 105 111 112,2 4 19 34 14 9 11 26 41 16 18 48 28 23 25 55 30 32 47 42 37 39 54 44 46 56 51 53 58 60 89 83 77 65 67 96 76 84 72 74 103 79 81 110 86 88 111 105 93 95 104 112 100 102 107 109,15 3 5 7 22 10 12 14 17 19 21 24 26 28 43 31 33 35 50 38 40 42 45 47 49 52 54 56 85 59 61 63 92 66 68 70 99 73 75 77 106 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112:4 6 4 4 6 4 6 4 6 4 4 4,5 4 5 4 5 5 5 4 5 5 5 4> {(1, 88): 't3^-1', (0, 51): 'tau2', (2, 56): 't3', (1, 104): 't2^-1*tau1^-1*t3', (0, 22): 'tau3', (2, 105): 't2', (2, 98): 't2^-1', (1, 95): 't3', (1, 76): 'tau1^-1', (0, 63): 't3^-1', (1, 111): 't2*tau1*t3^-1', (0, 23): 'tau3', (0, 56): 't3', (0, 16): 'tau2^-1', (1, 54): 't1', (0, 43): 'tau3^-1', (1, 110): 'tau3*t1*tau2^-1', (1, 74): 't2', (2, 63): 't3^-1', (0, 7): 't2', (0, 28): 't2^-1', (0, 50): 'tau2', (1, 109): 't2', (1, 47): 't1', (1, 69): 'tau1^-1', (0, 44): 'tau3^-1', (0, 15): 'tau2^-1', (1, 96): 'tau2^-1*t1*tau3', }