| Udvikler: | Philip Broder (14) | ||
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Beskrivelse
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. 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.
The phase slider lets you vary the phase between 0-360º ( 0 - 2π radians)
With the x & y frequencies as Integers the Lissajous will be a closed loop.
Varying the x&y frequencies will produce interesting shapes with which you can animate the phase, or watch the shape traced out over time.
If the line length is at max then a closed loop shape will only trace once. 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.
Adjust the background/plot colours, line width/shadow, to pleasing artistic effect.
A must have for physics and engineering students, or just for interest and fun.
Have fun, and share your work...
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