U-tiling: UQC4652
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1498 |
*222222 |
(4,5,2) |
{4,3,6,4} |
{8.8.8.8}{8.4.8}{8.8.4.8.8.4}{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
|
|
sqc510
|
|
Pmmm |
47 |
orthorhombic |
{3,4,6,4} |
5 |
(4,5) |
|
G
|
False
|
|
sqc3787
|
|
C2/c |
15 |
monoclinic |
{4,3,6,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc3786
|
|
Imma |
74 |
orthorhombic |
{4,3,6,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,3,6,4} |
| 2D vertex symbol | {8.8.8.8}{8.4.8}{8.8.4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<73.2:80:21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 71 43 45 47 49 80 61 53 55 57 59 70 63 65 67 69 73 75 77 79,2 4 8 56 47 10 12 14 18 76 67 20 22 24 28 66 77 30 32 34 38 46 57 40 42 44 48 50 52 54 58 60 62 64 68 70 72 74 78 80,41 52 53 6 7 28 29 20 61 72 73 16 17 38 39 71 62 63 26 27 40 51 42 43 36 37 46 47 78 79 70 56 57 68 69 80 66 67 76 77:8 4 8 4 8 8,4 3 6 4 4 3 6 3 3 4> {(2, 60): 't2*tau3^-1', (0, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 62): 't2', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (2, 59): 'tau1^-1', (2, 52): 't3^-1', (0, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 49): 'tau1', (2, 50): 't3^-1*tau2^-1', (2, 51): 't3^-1', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 40): 't3*tau2', (2, 41): 't3', (2, 42): 't3', (0, 39): 't1', (0, 30): 't1', (0, 29): 't1', (2, 20): 'tau3^-1*t2', (2, 21): 't2^-1', (0, 20): 't1', (2, 12): 't2', (1, 75): 't2^-1', (2, 11): 't2', (1, 65): 't2', (1, 55): 't3^-1', (1, 45): 't3'}