U-tiling: UQC3876
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1104 |
*222222 |
(3,5,2) |
{8,6,4} |
{3.6.6.3.3.6.6.3}{3.6.6.3.6.6}{6... |
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
|
|
sqc221
|
|
Pmmm |
47 |
orthorhombic |
{8,4,6} |
3 |
(3,5) |
|
G
|
False
|
|
sqc2387
|
|
C2/c |
15 |
monoclinic |
{8,6,4} |
6 |
(3,6) |
|
D
|
False
|
|
sqc2386
|
|
Imma |
74 |
orthorhombic |
{8,6,4} |
6 |
(3,5) |
Topological data
| Vertex degrees | {8,6,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.6.3.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.2:72:19 3 5 42 8 45 28 12 14 60 17 63 21 23 69 26 72 30 32 51 35 54 64 39 41 44 55 48 50 53 57 59 62 66 68 71,2 21 6 7 9 11 30 15 16 18 20 24 25 27 29 33 34 36 38 66 42 43 45 47 57 51 52 54 56 60 61 63 65 69 70 72,37 4 5 51 16 17 27 55 13 14 69 36 64 22 23 60 34 35 46 31 32 42 40 41 61 62 72 49 50 70 71 63 58 59 67 68:3 6 3 6 6 6 3 3,8 6 4 8 6 4> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (2, 63): 't2^-1*tau3', (1, 29): 't1', (0, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 56): 't2*tau3^-1*t1^-1*tau2*t3', (2, 59): 't2', (2, 52): 'tau1^-1', (2, 54): 't2*tau3^-1', (0, 54): 't2*tau3^-1*t1^-1*tau2*t3', (1, 20): 't1', (2, 50): 't3^-1', (2, 51): 'tau1^-1', (2, 45): 't3^-1*tau2^-1', (2, 14): 't2', (2, 41): 't3', (1, 65): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 36): 't3*tau2', (0, 27): 't1', (0, 18): 't1'}