U-tiling: UQC3798
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc833 |
*222222 |
(3,4,2) |
{4,3,6} |
{12.12.12.12}{12.4.12}{12.12.4.1... |
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
|
|
sqc129
|
|
Pmmm |
47 |
orthorhombic |
{3,4,6} |
4 |
(3,4) |
|
G
|
False
|
|
sqc1948
|
|
C2/c |
15 |
monoclinic |
{4,3,6} |
8 |
(3,5) |
|
D
|
False
|
|
sqc1951
|
|
Imma |
74 |
orthorhombic |
{4,3,6} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,3,6} |
| 2D vertex symbol | {12.12.12.12}{12.4.12}{12.12.4.12.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.1:64:9 3 5 7 24 11 13 15 32 25 19 21 23 27 29 31 49 35 37 39 64 57 43 45 47 56 51 53 55 59 61 63,2 4 8 38 47 10 12 16 54 63 18 20 24 62 55 26 28 32 46 39 34 36 40 42 44 48 50 52 56 58 60 64,17 34 35 6 7 40 25 50 51 14 15 56 58 59 22 23 64 42 43 30 31 48 57 38 39 49 46 47 54 55 62 63:12 4 4 12,4 3 6 4 3 6 3 3> {(0, 56): 'tau1', (2, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 57): 't2^-1*tau3', (2, 58): 't2^-1*tau3', (0, 48): 'tau1^-1', (2, 48): 't2*tau3^-1*t1^-1*tau2*t3', (2, 49): 't2*tau3^-1', (2, 50): 't2*tau3^-1', (2, 41): 't3^-1*tau2^-1', (2, 42): 't3^-1*tau2^-1', (2, 33): 't3*tau2', (2, 34): 't3*tau2', (2, 24): 't1', (2, 16): 't1', (1, 61): 't2^-1*tau3', (1, 62): 't2^-1', (1, 53): 't2*tau3^-1', (1, 54): 't2', (1, 45): 't3^-1*tau2^-1', (1, 46): 't3^-1', (1, 37): 't3*tau2', (1, 38): 't3'}