U-tiling: UQC374
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc477 |
*22222 |
(2,4,2) |
{4,6} |
{6.4.4.6}{6.4.4.6.4.4} |
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
|
|
sqc1406
|
|
Fmmm |
69 |
orthorhombic |
{6,4} |
6 |
(2,4) |
|
G
|
False
|
|
sqc6746
|
|
Fddd |
70 |
orthorhombic |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1413
|
|
Cmma |
67 |
orthorhombic |
{6,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {6.4.4.6}{6.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.4:112:29 3 5 20 21 36 10 12 27 28 43 17 19 50 24 26 31 33 48 49 38 40 55 56 45 47 52 54 78 59 61 90 91 71 66 68 97 98 73 75 104 105 80 82 111 112 106 87 89 99 94 96 101 103 108 110,2 59 6 7 9 73 13 14 16 87 20 21 23 101 27 28 30 80 34 35 37 66 41 42 44 108 48 49 51 94 55 56 58 62 63 65 69 70 72 76 77 79 83 84 86 90 91 93 97 98 100 104 105 107 111 112,8 4 5 13 70 11 12 84 22 18 19 27 98 25 26 112 36 32 33 41 77 39 40 63 50 46 47 55 105 53 54 91 71 60 61 76 78 67 68 83 74 75 81 82 99 88 89 104 106 95 96 111 102 103 109 110:6 4 6 4 6 6 4 4 4 4 4 4,4 6 6 4 6 6 4 4 4 4 4 4> {(2, 61): 'tau1', (2, 62): 't3', (2, 63): 'tau1^-1', (2, 56): 'tau1', (0, 61): 't3', (0, 49): 't1', (0, 42): 't1', (1, 107): 'tau3', (0, 62): 't3', (1, 100): 'tau3^-1', (2, 34): 't2^-1', (2, 103): 't2^-1*tau1^-1*t3', (1, 93): 'tau2^-1', (1, 86): 'tau2', (2, 13): 't2', (2, 6): 't3', (0, 104): 't2^-1', (0, 105): 'tau3*t1*tau2^-1', (0, 111): 't2', (0, 98): 'tau3^-1*t1^-1*tau2', (0, 96): 't3', (0, 97): 't3', (2, 98): 't2^-1*tau1^-1*t3', (2, 91): 't3*tau1^-1*t2^-1', (0, 82): 't2^-1', (2, 110): 't2*tau1*t3^-1', (2, 82): 'tau1', (0, 75): 't2'}