Lissajous Play - Maths Art! for Pc

1. If one, or both, of the frequencies are not intergers then things get interesting, as it's not a closed loop the trace will continue to draw and get more complex, adjusting the phase adds even more interest.

2. Varying the x&y frequencies will produce interesting shapes with which you can animate the phase, or watch the shape traced out over time.

3. If these are in phase, and the same frequency, then you get a stright diagonal line; push the y data 90º (π/4 radians) out of phase and you get a circle.

4. If the line length is at max then a closed loop shape will only trace once.

5. With the x & y frequencies as Integers the Lissajous will be a closed loop.

6. The basics are that there are two sine waves being used to determine the plot coordinates, one driving the x value and the other driving the y value.

7. Use Lissajous Play to explore Lissajous figures by adjusting all the variable parameter to your desires.

8. Adjust the background/plot colours, line width/shadow, to pleasing artistic effect.

9. A must have for physics and engineering students, or just for interest and fun.

10. Liked Lissajous Play? here are 5 Education apps like Sight Words Flash Cards - Play with flash cards; Play English Lite; English Listening Player; Lingokids - Play and Learn; Fretello: Learn to Play Guitar;