U-tiling: UQC4041
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1131 |
*222222 |
(3,5,2) |
{4,4,6} |
{10.10.10.10}{10.4.4.10}{10.4.4.... |
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
|
|
sqc1986
|
|
Pmmm |
47 |
orthorhombic |
{3,4,5} |
8 |
(3,5) |
|
G
|
False
|
|
sqc2838
|
|
I212121 |
24 |
orthorhombic |
{4,4,6} |
8 |
(3,6) |
|
D
|
False
|
|
sqc273
|
|
P222 |
16 |
orthorhombic |
{4,6,4} |
4 |
(3,5) |
Topological data
| Vertex degrees | {4,4,6} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4.10.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.1:72:10 3 5 7 17 18 12 14 16 28 21 23 25 35 36 30 32 34 46 39 41 43 53 54 48 50 52 64 57 59 61 71 72 66 68 70,2 4 41 8 9 11 13 50 17 18 20 22 59 26 27 29 31 68 35 36 38 40 44 45 47 49 53 54 56 58 62 63 65 67 71 72,19 38 39 6 7 44 27 28 47 48 15 16 53 36 56 57 24 25 62 65 66 33 34 71 55 42 43 63 64 51 52 72 60 61 69 70:10 4 10 4 4 4,4 4 6 4 4 6 4 4> {(2, 62): 'tau1*t2', (2, 63): 't1^-1', (0, 62): 't3*tau2', (0, 63): 't1^-1*tau3^-1*t2', (2, 26): 't3', (0, 61): 't3*tau2', (2, 52): 't1', (2, 53): 't2^-1*tau1^-1*t3*tau2', (0, 16): 't1^-1', (0, 17): 't1^-1', (1, 58): 'tau1*t3^-1', (1, 49): 'tau3^-1', (2, 46): 't1', (2, 47): 't1', (0, 45): 'tau3^-1*t2', (0, 34): 'tau2^-1*t3^-1', (0, 35): 'tau2^-1*t3^-1', (1, 67): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 4): 't2', (2, 35): 'tau2^-1*t1'}