U-tiling: UQC361
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc473 |
*22222 |
(2,4,2) |
{8,3} |
{3.8.8.3.3.8.8.3}{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
|
|
sqc48
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
3 |
(2,4) |
|
G
|
False
|
|
sqc6677
|
|
Fddd |
70 |
orthorhombic |
{8,3} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1300
|
|
Cmma |
67 |
orthorhombic |
{3,8} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.3:112:57 3 5 20 70 71 10 12 27 84 85 17 19 98 99 24 26 112 78 31 33 48 77 64 38 40 55 63 106 45 47 105 92 52 54 91 59 61 90 66 68 97 73 75 104 80 82 111 87 89 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 98 100 104 105 107 111 112,29 4 5 13 63 36 11 12 77 43 18 19 27 91 50 25 26 105 32 33 41 84 39 40 70 46 47 55 112 53 54 98 78 60 61 76 71 67 68 83 74 75 81 82 106 88 89 104 99 95 96 111 102 103 109 110:3 8 3 8 3 3 3 8 3 8 3 3,8 3 3 8 3 3 3 3 3 3 8 8> {(2, 61): 'tau1', (0, 62): 't3', (0, 61): 't3', (0, 49): 'tau2', (2, 48): 'tau3^-1', (2, 49): 't1', (0, 42): 'tau3^-1', (1, 107): 'tau3', (2, 82): 'tau1', (2, 42): 't1', (0, 34): 't2^-1', (0, 21): 'tau3', (1, 93): 'tau2^-1', (2, 27): 'tau3', (2, 20): 'tau2^-1', (1, 86): 'tau2', (0, 14): 'tau2^-1', (0, 13): 't2', (0, 6): 't3', (2, 55): 'tau2', (2, 110): 't2*tau1*t3^-1', (2, 105): 'tau3*t1*tau2^-1', (0, 96): 't3', (2, 103): 't2^-1*tau1^-1*t3', (2, 98): 'tau3^-1*t1^-1*tau2', (0, 82): 't2^-1', (1, 23): 'tau3', (0, 75): 't2'}