E1: Choose a function type, run the simulation with varied parameters and projections. Train your visual 3D perception.

E2: Study the formulas. Try to understand the relation between formula type, trace and enveloping body. What is the relation between symmetries, number of "leaves" in the Lissajou traces, and parameters?

E3: Optimize the recognition of the envelopes by proper alignment of the projections with the mouse and with the Camera Recorder

E4: Edit the formulas, exchange parameters and include constant numbers. Study the changes.

E5: Change the sign of terms in the formulas and analyze the changes produced.

E6: Introduce power functions and study the result systematically. (e.g. sinx*sinx, sin (x*x), x*sinx, etc)

E7: For any change consider in advance what changes you should see.

E8: Create a certain predefined envelope, Pause, change parameters and Play (not Start!). Now superimpose envelopes of the same type.

E9: Create a certain predefines envelope, Pause, change function type and Play (not Start!). Now superimpose envelopes of different type.

E10: Create your own superpositions.

E11: Consider which types of orbits could be of importance in physics, and where.