U-tiling: UQC4418
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1430 |
*222222 |
(4,6,2) |
{4,4,4,4} |
{4.8.8.4}{8.8.8.8}{8.8.8.8}{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) |
|
P
|
False
|
|
sqc440
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
5 |
(4,6) |
|
G
|
False
|
|
sqc3672
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc3802
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
10 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {4.8.8.4}{8.8.8.8}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.3:80:41 22 23 5 7 9 30 61 32 33 15 17 19 40 71 25 27 29 51 35 37 39 72 73 45 47 49 80 62 63 55 57 59 70 65 67 69 75 77 79,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80,51 3 54 55 46 47 28 29 20 71 13 74 75 66 67 38 39 61 23 64 65 76 77 40 41 33 44 45 56 57 43 78 79 70 53 68 69 80 63 73:4 8 4 8 8 8,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2', (0, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 62): 't2*tau3^-1*t1^-1*tau2*t3', (0, 60): 't2*tau3^-1', (2, 59): 'tau1^-1', (0, 50): 't3^-1*tau2^-1', (0, 51): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 54): 't3^-1', (0, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 49): 'tau1', (0, 42): 't3*tau2*t1^-1*tau3^-1*t2', (0, 40): 't3*tau2', (0, 41): 't3*tau2*t1^-1*tau3^-1*t2', (2, 40): 't3', (2, 43): 't3', (0, 32): 't1', (2, 34): 't3^-1', (2, 24): 't2^-1', (0, 31): 't1', (0, 19): 't1^-1', (2, 23): 't2^-1', (0, 22): 't1', (0, 20): 'tau3^-1*t2', (0, 21): 't1', (2, 13): 't2', (2, 14): 't2', (0, 9): 't1^-1', (2, 10): 't2', (2, 53): 't3^-1', (2, 0): 't3'}