Lissajous Play - Maths Art!
Explore your inner Lissajous.
Free
1.1for iPhone, iPod touch
Age Rating
Lissajous Play - Maths Art! Screenshots
About Lissajous Play - Maths Art!
Use Lissajous Play to explore Lissajous figures by adjusting all the variable parameter to your desires.
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...
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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What's New in the Latest Version 1.1
Last updated on Feb 24, 2019
Old Versions
Performance enhancements.
Show More
Version History
1.1
Feb 22, 2019
Performance enhancements.
1.0
Feb 21, 2019
Lissajous Play - Maths Art! FAQ
Click here to learn how to download Lissajous Play - Maths Art! in restricted country or region.
Check the following list to see the minimum requirements of Lissajous Play - Maths Art!.
iPhone
Requires iOS 11.1 or later.
iPod touch
Requires iOS 11.1 or later.
Lissajous Play - Maths Art! supports English