U-tiling: UQC4007
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
|
False
|
|
sqc2391
|
|
Cmma |
67 |
orthorhombic |
{4,8,6} |
6 |
(3,5) |
|
G
|
False
|
|
sqc2810
|
|
C2/c |
15 |
monoclinic |
{4,8,6} |
6 |
(3,6) |
|
D
|
False
|
|
sqc2814
|
|
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
<39.1:72:10 3 5 7 44 45 12 14 16 62 63 28 21 23 25 71 72 30 32 34 53 54 55 39 41 43 64 48 50 52 57 59 61 66 68 70,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 59 44 45 47 49 68 53 54 56 58 62 63 65 67 71 72,19 38 39 6 7 53 27 28 56 57 15 16 71 36 65 66 24 25 62 47 48 33 34 44 64 42 43 72 55 51 52 63 60 61 69 70:5 4 4 5 4 4 5 5,4 8 6 4 8 6> {(2, 61): 't2', (1, 58): 'tau1^-1', (2, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 56): 't2*tau3^-1', (0, 63): 'tau1', (2, 27): 't1', (2, 52): 't3^-1', (2, 16): 't2', (2, 54): 't2*tau3^-1*t1^-1*tau2*t3', (2, 55): 't2*tau3^-1', (0, 54): 'tau1^-1', (2, 18): 't1', (2, 19): 'tau3^-1*t2', (2, 20): 'tau3^-1*t2', (2, 46): 't3^-1*tau2^-1', (2, 47): 't3^-1*tau2^-1', (2, 43): 't3', (2, 37): 't3*tau2', (2, 38): 't3*tau2', (1, 67): 'tau1'}