U-tiling: UQC5180
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2044 |
*222222 |
(4,6,2) |
{4,8,4,4} |
{12.12.12.12}{12.3.3.12.12.3.3.1... |
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
|
|
sqc5227
|
|
I212121 |
24 |
orthorhombic |
{4,8,4,4} |
10 |
(4,7) |
|
D
|
False
|
|
sqc927
|
|
Pmmm |
47 |
orthorhombic |
{4,4,8,4} |
5 |
(4,6) |
Topological data
| Vertex degrees | {4,8,4,4} |
| 2D vertex symbol | {12.12.12.12}{12.3.3.12.12.3.3.12}{12.12.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:96:13 3 5 7 9 11 60 15 17 19 21 23 72 37 27 29 31 33 35 84 39 41 43 45 47 96 61 51 53 55 57 59 63 65 67 69 71 85 75 77 79 81 83 87 89 91 93 95,2 4 12 8 11 10 14 16 24 20 23 22 26 28 36 32 35 34 38 40 48 44 47 46 50 52 60 56 59 58 62 64 72 68 71 70 74 76 84 80 83 82 86 88 96 92 95 94,25 50 51 6 7 20 21 34 35 36 37 62 63 18 19 46 47 48 74 75 30 31 44 45 86 87 42 43 73 54 55 68 69 82 83 84 85 66 67 94 95 96 78 79 92 93 90 91:12 3 3 12 3 3 3 3 3 3,4 8 4 4 4 4 8 4 4 4> {(2, 60): 't1', (0, 59): 't2^-1', (2, 62): 't1', (2, 57): 't2^-1*tau1^-1', (2, 58): 't2^-1*tau1^-1', (2, 59): 't2^-1*tau1^-1', (0, 48): 't2^-1*tau3', (2, 44): 'tau2^-1*t3^-1', (2, 45): 'tau2^-1*t1', (2, 46): 'tau2^-1*t1', (2, 47): 'tau2^-1*t1', (0, 47): 't3*tau1^-1*t2^-1*tau3*t1', (2, 43): 'tau2^-1*t3^-1', (0, 35): 't3*tau1^-1', (2, 33): 't3', (2, 34): 't3', (2, 35): 't3', (2, 20): 't1^-1', (0, 23): 'tau3', (2, 19): 't1^-1', (2, 13): 't1^-1', (2, 92): 'tau2^-1*t3^-1', (2, 93): 'tau2^-1*t3^-1*tau1*t2', (2, 94): 'tau2^-1*t3^-1*tau1*t2', (2, 95): 'tau2^-1*t3^-1*tau1*t2', (2, 91): 'tau2^-1*t3^-1', (0, 84): 't1^-1*tau3^-1*t2'}