U-tiling: UQC4005
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1124 |
*222222 |
(3,5,2) |
{4,8,6} |
{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4... |
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
|
|
sqc62
|
|
Pmmm |
47 |
orthorhombic |
{4,4,6} |
3 |
(3,5) |
|
G
|
False
|
|
sqc2548
|
|
C2/c |
15 |
monoclinic |
{4,8,6} |
6 |
(3,6) |
|
D
|
False
|
|
sqc2609
|
|
Imma |
74 |
orthorhombic |
{4,8,6} |
6 |
(3,5) |
Topological data
| Vertex degrees | {4,8,6} |
| 2D vertex symbol | {5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4.5.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.3:72:37 3 5 7 17 18 55 12 14 16 64 21 23 25 35 36 46 30 32 34 39 41 43 62 63 48 50 52 71 72 57 59 61 66 68 70,2 4 41 8 9 11 13 59 17 18 20 22 68 26 27 29 31 50 35 36 38 40 44 45 47 49 53 54 56 58 62 63 65 67 71 72,46 38 39 6 7 26 27 64 56 57 15 16 35 36 55 65 66 24 25 37 47 48 33 34 42 43 71 72 51 52 62 63 60 61 69 70:5 4 5 5 4 5 4 4,4 8 6 4 8 6> {(2, 62): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 't2^-1', (0, 62): 'tau1^-1', (0, 63): 't2^-1*tau3', (2, 26): 't1', (0, 61): 'tau1^-1', (1, 49): 't3^-1*tau2^-1', (2, 54): 't2', (0, 54): 't2*tau3^-1', (0, 52): 'tau1^-1', (0, 53): 'tau1^-1', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (1, 58): 't2*tau3^-1', (0, 45): 't3^-1*tau2^-1', (2, 36): 't3', (1, 67): 't2^-1*tau3', (2, 0): 't3', (1, 4): 'tau2^-1*t3^-1', (0, 36): 't3*tau2', (2, 35): 't1'}