U-tiling: UQC536
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc359 |
*22222 |
(2,3,3) |
{10,4} |
{4.3.4.3.4.4.3.4.3.4}{3.4.3.4} |
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
|
|
sqc21
|
|
Pmmm |
47 |
orthorhombic |
{8,4} |
2 |
(2,3) |
|
G
|
False
|
|
sqc6345
|
|
Fddd |
70 |
orthorhombic |
{10,4} |
8 |
(2,4) |
|
D
|
False
|
|
sqc1266
|
|
Cmma |
67 |
orthorhombic |
{4,10} |
4 |
(2,3) |
Topological data
| Vertex degrees | {10,4} |
| 2D vertex symbol | {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.4:112:8 16 17 6 7 23 24 13 14 22 20 21 27 28 36 44 45 34 35 51 52 41 42 50 48 49 55 56 71 86 87 62 63 78 93 94 69 70 100 101 76 77 107 108 83 84 99 90 91 106 97 98 104 105 111 112,2 4 61 20 70 9 11 75 27 84 16 18 89 98 23 25 103 112 30 32 82 48 77 37 39 68 55 63 44 46 110 105 51 53 96 91 58 60 90 65 67 97 72 74 104 79 81 111 86 88 93 95 100 102 107 109,29 3 5 7 36 10 12 14 43 17 19 21 50 24 26 28 31 33 35 38 40 42 45 47 49 52 54 56 78 59 61 63 71 66 68 70 73 75 77 80 82 84 106 87 89 91 99 94 96 98 101 103 105 108 110 112:4 3 4 3 4 4 4 4 3 3 4 3 4 3 3 3,10 4 10 4 10 10 4 4> {(1, 88): 'tau2', (0, 107): 't2', (2, 49): 't1', (1, 83): 't2^-1', (1, 103): 't2^-1', (2, 105): 'tau3*t1*tau2^-1', (2, 98): 'tau3^-1*t1^-1*tau2', (1, 95): 'tau2^-1', (0, 92): 't3', (1, 76): 't2', (0, 63): 'tau1^-1', (0, 100): 't2^-1', (1, 102): 'tau3^-1', (0, 56): 'tau1', (0, 93): 't3', (0, 105): 't2*tau1*t3^-1', (1, 110): 't2', (0, 57): 't3', (0, 98): 't2^-1*tau1^-1*t3', (1, 62): 't3', (1, 89): 't3^-1', (1, 109): 'tau3', (0, 106): 't2', (1, 69): 't3^-1', (0, 99): 't2^-1', (2, 42): 't1', (1, 96): 't3', (0, 58): 't3', }