U-tiling: UQC3679
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc805 |
*222222 |
(3,4,2) |
{6,6,4} |
{6.5.6.6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
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
|
|
sqc2116
|
|
Cmma |
67 |
orthorhombic |
{6,6,4} |
6 |
(3,4) |
G
|
False
|
|
sqc2043
|
|
Imma |
74 |
orthorhombic |
{6,6,4} |
6 |
(3,5) |
D
|
False
|
|
sqc2047
|
|
Imma |
74 |
orthorhombic |
{6,6,4} |
6 |
(3,4) |
Topological data
Vertex degrees | {6,6,4} |
2D vertex symbol | {6.5.6.6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.2:64:17 3 5 7 48 25 11 13 15 64 19 21 23 56 27 29 31 40 57 35 37 39 49 43 45 47 51 53 55 59 61 63,2 11 44 6 8 10 60 14 16 18 27 52 22 24 26 36 30 32 34 51 38 40 42 59 46 48 50 54 56 58 62 64,33 4 5 22 23 40 49 12 13 30 31 56 57 20 21 64 41 28 29 48 36 37 62 63 44 45 54 55 52 53 60 61:6 5 5 5 5 6,6 6 4 6 4 6> {(1, 35): 't3', (0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 16): 't1', (2, 56): 't2^-1*tau3', (0, 63): 't2^-1', (1, 59): 't2^-1', (0, 48): 't2*tau3^-1*t1^-1*tau2*t3', (1, 50): 'tau1^-1', (2, 48): 't2*tau3^-1', (0, 55): 't2', (1, 58): 'tau1', (0, 24): 't1', (2, 40): 't3^-1*tau2^-1', (0, 47): 't3^-1', (1, 51): 't2', (1, 43): 't3^-1', (2, 32): 't3*tau2', (0, 39): 't3'}