U-tiling: UQC4655
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc140 |
*2244 |
(2,3,2) |
{3,4} |
{4.16.16}{16.16.16.16} |
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
|
|
sqc477
|
|
Pmmm |
47 |
orthorhombic |
{3,3,4,4} |
6 |
(4,5) |
|
G
|
False
|
|
sqc3703
|
|
C2/c |
15 |
monoclinic |
{4,3,3,4} |
12 |
(4,6) |
|
D
|
False
|
|
sqc3704
|
|
Imma |
74 |
orthorhombic |
{4,3,3,4} |
12 |
(4,5) |
Topological data
| Vertex degrees | {4,3,3,4} |
| 2D vertex symbol | {16.16.16.16}{16.4.16}{16.16.4}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<74.1:80:11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 61 43 45 47 49 80 71 53 55 57 59 70 63 65 67 69 73 75 77 79,2 4 8 46 57 10 12 14 18 66 77 20 22 24 28 76 67 30 32 34 38 56 47 40 42 44 48 50 52 54 58 60 62 64 68 70 72 74 78 80,21 42 43 6 7 58 59 50 31 62 63 16 17 78 79 70 72 73 26 27 68 69 80 52 53 36 37 48 49 60 71 46 47 61 56 57 66 67 76 77:16 4 4 16,4 3 3 4 4 3 3 4 3 3 3 3> {(2, 60): 't2*tau3^-1*t1^-1*tau2*t3', (2, 61): 't2*tau3^-1', (2, 62): 't2*tau3^-1', (2, 57): 't3^-1', (0, 60): 'tau1^-1', (0, 50): 'tau1^-1', (2, 48): 't3', (2, 51): 't3^-1*tau2^-1', (2, 47): 't3', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 41): 't3*tau2', (2, 42): 't3*tau2', (2, 32): 'tau2*t3', (2, 28): 't2^-1', (2, 30): 't1', (2, 58): 't3^-1', (2, 27): 't2^-1', (2, 20): 't1', (2, 21): 'tau3^-1*t2', (2, 22): 'tau3^-1*t2', (2, 17): 't2', (2, 18): 't2', (1, 75): 't2^-1*tau3', (1, 76): 't2^-1', (1, 65): 't2*tau3^-1', (1, 56): 't3^-1', (1, 55): 't3^-1*tau2^-1', (1, 46): 't3', (1, 26): 't2^-1', (1, 5): 'tau2^-1*t3^-1'}