Octopus Ride

 

 

From the diagram,

If we resolve horizontally (i.e. along x axis) - (1) x=2rcosq+rcosa  

If we resolve vertically (i.e. along y axis) - (2) y=2rsinq+rsina

Now, using (1) & (2), we could plot the graph of locus of the octopus ride.

 

 See the Octopus ride animantion

 

Cork Screw ride