U-tiling: UQC5686
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2245 |
*222222 |
(5,6,2) |
{4,4,8,6,4} |
{7.7.7.7}{7.7.7.7}{7.3.3.7.7.3.3... |
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
|
|
sqc1091
|
|
Pmmm |
47 |
orthorhombic |
{4,8,6,4,4} |
5 |
(5,6) |
|
G
|
False
|
|
sqc5856
|
|
C2/c |
15 |
monoclinic |
{4,4,8,6,4} |
10 |
(5,7) |
|
D
|
False
|
|
sqc5862
|
|
Imma |
74 |
orthorhombic |
{4,4,8,6,4} |
10 |
(5,6) |
Topological data
| Vertex degrees | {4,4,8,6,4} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.3.3.7.7.3.3.7}{7.3.3.7.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:104:14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 79 55 57 59 61 63 65 92 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104,2 4 6 20 10 13 12 15 17 19 23 26 25 28 30 32 46 36 39 38 41 43 45 49 52 51 54 56 58 85 62 65 64 67 69 71 98 75 78 77 80 82 84 88 91 90 93 95 97 101 104 103,27 54 55 69 70 8 9 62 63 38 39 40 80 81 95 96 21 22 88 89 51 52 93 94 82 83 34 35 101 102 67 68 56 57 47 48 75 76 92 60 61 103 104 79 73 74 90 91 86 87 99 100:7 3 3 7 3 3 7 3 7 3 3 3,4 4 8 6 4 4 4 8 4 6> {(2, 56): 't3', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 53): 't3*tau2', (2, 54): 't3*tau2', (2, 55): 't3', (0, 52): 'tau1', (2, 17): 't2', (2, 40): 'tau2*t3', (2, 41): 'tau2*t3', (1, 97): 'tau1', (2, 39): 't1', (2, 28): 'tau3^-1*t2', (2, 29): 't2^-1', (2, 30): 't2^-1', (2, 26): 't1', (2, 27): 'tau3^-1*t2', (2, 16): 't2', (1, 84): 'tau1^-1', (2, 14): 'tau3*t2^-1', (2, 15): 'tau3*t2^-1', (2, 4): 't3', (2, 3): 't3', (0, 91): 'tau1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3'}