U-tiling: UQC356
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) |
|
G
|
False
|
|
sqc6720
|
|
Fddd |
70 |
orthorhombic |
{8,3} |
12 |
(2,5) |
|
D
|
False
|
|
sqc48
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
3 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.1:112:15 3 5 34 14 22 10 12 41 17 19 48 28 24 26 55 43 31 33 42 50 38 40 45 47 56 52 54 85 59 61 83 77 92 66 68 76 84 99 73 75 106 80 82 87 89 111 105 94 96 104 112 101 103 108 110,2 17 6 7 9 24 13 14 16 20 21 23 27 28 30 45 34 35 37 52 41 42 44 48 49 51 55 56 58 87 62 63 65 94 69 70 72 101 76 77 79 108 83 84 86 90 91 93 97 98 100 104 105 107 111 112,64 4 5 62 21 78 11 12 76 28 92 18 19 90 106 25 26 104 71 32 33 83 49 57 39 40 69 56 99 46 47 111 85 53 54 97 60 61 91 67 68 98 74 75 105 81 82 112 88 89 95 96 102 103 109 110:3 8 3 8 3 3 3 8 3 3 3 8,8 3 8 3 8 8 3 3 3 3 3 3> {(0, 56): 't3', (2, 63): 't3^-1', (0, 62): 'tau1', (0, 63): 't3^-1', (2, 54): 'tau2', (0, 54): 't1', (2, 62): 't3', (1, 107): 't2', (2, 47): 'tau3^-1', (0, 47): 't1', (2, 56): 't3', (2, 19): 'tau2^-1', (1, 100): 't2^-1', (2, 28): 't2^-1', (1, 93): 't3', (2, 26): 'tau3', (1, 86): 't3^-1', (2, 7): 't2', (2, 111): 't2', (0, 110): 'tau3*t1*tau2^-1', (0, 98): 't2^-1', (0, 96): 'tau2^-1*t1*tau3', (0, 97): 't3*tau1^-1*t2^-1', (2, 97): 't3', (0, 90): 't3^-1*tau1*t2', (0, 83): 'tau1', (2, 76): 't2', (0, 105): 't2'}