U-tiling: UQC5582
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2221 |
*222222 |
(5,6,2) |
{8,6,4,4,4} |
{3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5... |
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
|
True
|
|
sqc5613
|
|
Pmmm |
47 |
orthorhombic |
{7,6,4,4,4} |
10 |
(5,6) |
|
G
|
False
|
|
sqc5931
|
|
I212121 |
24 |
orthorhombic |
{8,6,4,4,4} |
10 |
(5,7) |
|
D
|
False
|
|
sqc1008
|
|
Pmmm |
47 |
orthorhombic |
{4,6,8,4,4} |
5 |
(5,6) |
Topological data
| Vertex degrees | {8,6,4,4,4} |
| 2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:104:14 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 66 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104,2 16 6 13 8 10 12 15 19 26 21 23 25 28 42 32 39 34 36 38 41 45 52 47 49 51 54 68 58 65 60 62 64 67 71 78 73 75 77 80 94 84 91 86 88 90 93 97 104 99 101 103,27 4 5 58 59 21 22 36 37 64 65 40 17 18 71 72 49 50 77 78 30 31 84 85 47 48 90 91 43 44 97 98 103 104 79 56 57 73 74 88 89 92 69 70 101 102 82 83 99 100 95 96:3 5 5 3 5 5 3 5 5 3 5 5,8 6 4 4 4 8 4 6 4 4> {(2, 61): 't2^-1*tau1^-1', (2, 62): 't2^-1*tau1^-1', (2, 63): 't2^-1', (2, 48): 'tau2^-1*t1', (2, 49): 'tau2^-1*t1', (2, 50): 't3*tau1^-1*t2^-1*tau3*t1', (2, 51): 't3*tau1^-1*t2^-1*tau3*t1', (2, 46): 'tau2^-1*t3^-1', (2, 47): 'tau2^-1*t3^-1', (2, 36): 't3', (2, 37): 't3*tau1^-1', (2, 38): 't3*tau1^-1', (2, 35): 't3', (1, 93): 't1^-1*tau3^-1*t2', (2, 25): 'tau3', (2, 20): 't1^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 12): 't2', (2, 8): 't1', (1, 67): 'tau3^-1*t2', (2, 24): 'tau3', (0, 52): 't2^-1*tau3', (2, 100): 'tau2^-1*t3^-1*tau1*t2', (2, 101): 'tau2^-1*t3^-1*tau1*t2', (2, 98): 'tau2^-1*t3^-1', (2, 99): 'tau2^-1*t3^-1', (0, 91): 't1^-1*tau3^-1*t2', (2, 91): 't1^-1'}