U-tiling: UQC345
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc472 |
*22222 |
(2,4,2) |
{4,6} |
{3.8.8.3}{3.8.8.3.8.8} |
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
|
|
sqc63
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
3 |
(2,4) |
|
G
|
False
|
|
sqc6543
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1399
|
|
Cmma |
67 |
orthorhombic |
{6,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {3.8.8.3}{3.8.8.3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.4:112:29 3 5 20 70 36 10 12 27 84 43 17 19 98 50 24 26 112 31 33 48 77 38 40 55 63 45 47 105 52 54 91 78 59 61 90 71 66 68 97 73 75 104 80 82 111 106 87 89 99 94 96 101 103 108 110,2 31 6 7 9 38 13 14 16 45 20 21 23 52 27 28 30 34 35 37 41 42 44 48 49 51 55 56 58 80 62 63 65 73 69 70 72 76 77 79 83 84 86 108 90 91 93 101 97 98 100 104 105 107 111 112,8 4 5 13 63 11 12 77 22 18 19 27 91 25 26 105 36 32 33 41 84 39 40 70 50 46 47 55 112 53 54 98 71 60 61 76 78 67 68 83 74 75 81 82 99 88 89 104 106 95 96 111 102 103 109 110:3 8 3 8 3 3 8 8 3 3 3 3,4 6 6 4 6 6 4 4 4 4 4 4> {(2, 61): 'tau1', (2, 63): 'tau1^-1', (2, 56): 'tau1', (0, 61): 't3', (2, 55): 'tau2', (2, 48): 'tau3^-1', (0, 42): 't1', (1, 107): 'tau3*t1*tau2^-1', (0, 41): 't3^-1', (2, 82): 'tau1', (0, 34): 't2^-1', (1, 100): 'tau3^-1*t1^-1*tau2', (2, 27): 'tau3', (2, 20): 'tau2^-1', (0, 21): 't1^-1', (0, 13): 't2', (0, 6): 't3', (2, 110): 't2*tau1*t3^-1', (0, 105): 'tau3*t1*tau2^-1', (2, 105): 't2*tau1*t3^-1', (0, 98): 'tau3^-1*t1^-1*tau2', (0, 96): 't3', (2, 103): 't2^-1*tau1^-1*t3', (2, 98): 't2^-1*tau1^-1*t3', (0, 82): 't2^-1', (1, 16): 't1^-1', (1, 23): 't1^-1', (0, 75): 't2'}