U-tiling: UQC4623
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1493 |
*222222 |
(4,5,2) |
{4,4,4,4} |
{5.5.5.5}{5.10.10.5}{5.10.5.10}{... |
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
|
|
sqc2843
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,3} |
10 |
(4,5) |
|
G
|
False
|
|
sqc3513
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc525
|
|
P222 |
16 |
orthorhombic |
{4,4,4,4} |
5 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.10.10.5}{5.10.5.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<69.1:80:11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 51 43 45 47 49 70 53 55 57 59 80 71 63 65 67 69 73 75 77 79,2 4 15 8 47 10 12 14 18 57 20 22 24 35 28 67 30 32 34 38 77 40 42 44 55 48 50 52 54 58 60 62 64 75 68 70 72 74 78 80,21 42 43 6 7 48 49 20 31 52 53 16 17 58 59 62 63 26 27 68 69 40 72 73 36 37 78 79 61 46 47 60 71 56 57 66 67 80 76 77:5 10 10 5 5 5,4 4 4 4 4 4 4 4 4 4> {(0, 59): 't2^-1*tau1^-1*t3*tau2', (1, 66): 'tau1*t3^-1', (2, 57): 't1', (0, 60): 't2^-1*tau3*t1', (0, 29): 't3', (2, 52): 't1', (2, 19): 't1^-1', (0, 49): 't2^-1*tau1^-1', (2, 50): 't1', (2, 51): 't1', (0, 40): 't2^-1*tau3', (2, 79): 'tau2^-1*t3^-1', (1, 76): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 56): 'tau3^-1', (1, 46): 't2^-1', (1, 64): 't2^-1*tau3*t1', (1, 54): 'tau3^-1*t2', (2, 39): 'tau2^-1*t3^-1', (0, 39): 'tau2^-1*t1', (2, 58): 't1'}