U-tiling: UQC4639
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1496 |
*222222 |
(4,5,2) |
{4,4,6,3} |
{8.8.8.8}{8.8.8.8}{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
|
|
sqc437
|
|
Pmmm |
47 |
orthorhombic |
{3,6,4,4} |
5 |
(4,5) |
|
G
|
False
|
|
sqc3559
|
|
C2/c |
15 |
monoclinic |
{4,4,6,3} |
10 |
(4,6) |
|
D
|
False
|
|
sqc3560
|
|
Imma |
74 |
orthorhombic |
{4,4,6,3} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,4,6,3} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.4.8.8.4.8}{8.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<71.3:80:41 3 5 7 9 50 61 13 15 17 19 70 71 23 25 27 29 80 51 33 35 37 39 60 43 45 47 49 53 55 57 59 63 65 67 69 73 75 77 79,2 4 6 10 18 29 12 14 16 20 39 22 24 26 30 38 32 34 36 40 42 44 46 50 68 79 52 54 56 60 78 69 62 64 66 70 72 74 76 80,51 42 43 24 25 8 9 30 71 62 63 34 35 18 19 40 61 72 73 28 29 41 52 53 38 39 74 75 48 49 80 64 65 58 59 70 68 69 78 79:8 4 8 8 8 4,4 4 6 3 4 4 3 6 3 3> {(2, 60): 't2', (0, 59): 't3^-1*tau2^-1', (0, 60): 't2*tau3^-1', (2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 50): 't3^-1*tau2^-1', (0, 49): 't3*tau2', (2, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 50): 't3^-1', (0, 40): 't3*tau2', (2, 40): 't3', (2, 39): 't1', (2, 29): 't1', (0, 29): 'tau3^-1*t2', (0, 19): 'tau3*t2^-1', (0, 20): 'tau3^-1*t2', (1, 77): 'tau1', (2, 10): 't2', (1, 78): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 68): 't2*tau3^-1*t1^-1*tau2*t3', (1, 47): 'tau1', (1, 38): 't1', (1, 28): 't1'}