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Download the 2 sprites and 3 scripts of "Lissajous figure" and open it in Scratch Project Notes
Lissajous figures were a lot of fun when I was a child playing with an oscilloscope. Try adjusting the phase or the frequency of the two oscillators to get different patterns. Use the clear button if things get messed up from changing parameters.
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it is a challenge to find the area enclosed by one. I have done it for the figure-8 Lissajous figure. I found it to be 8/3 for one that is bounded in a square of side lengths of 2. I did this using a signed area integral.
try x freq: 1 y freq: 100 x phase: 2 y phase: 2 it's stripy
dot x=100 dot x phase=134 dot y=62 dot y phase=29
HERE AND THERE AND INTO A BOX: X FREQUENCY: 53 X PHASE: -77 Y FREQUENCY: 74 Y PHASE: -56
For a blanket do: Dotxfrequency 96, Dotyfrequency 53, dotxphase -65, dotyphase -37. Takes a while.
letter I x frequency-100 y frequency-1 x phase- -180 y phase- -180 let it do a few runthroughs
Ultimate box! x freq: 99 / y freq: 100 / x phase: -180 / y phase: 180
sweet
BOX 3- x freq: 72 / y freq: 69 / x phase: -72 / y phase: -121
(the better box will take a minute to complete fully
THE BETTER BOX- x freq: 21 / y freq:100 / x phase: -180 / y phase- -180
THE BOX- x freq:41 / y freq:42 / x phase:-124 / y phase: -9 / Let the dot go around the box twice to finish.
THE PRETZEL- x freq:25 / x phase:-128 / y freq: 30 / y phase:-180
Kevin: I notice from the forums that you have played around with the Scratch Board. Do you recall what the input resistance range is for each of the four sensor inputs? I can't seem to find that information online. My son and I are working on a project but are still waiting for the board to arrive. Thanks.
cool
cool,try this one on for size:x freq=23,y freq=42,x phase=180,and y phase=180
Cool and addicting
Wow! Cool!
Paddle2See, to get Lissajous figures on an oscilloscope you also need two different sources of sine waves, fed into the x and y inputs. I think I used 60Hz (power frequency) and an audio oscillator.
Very nice! My oscilloscope never showed cool stuff like this. I probably wasn't using it right...you can't trust fancy electronics with an ME.
cool design you discovered
Try, dot x frequency 48, dot x phase -33, dot y frequency 62, dot y phase -44. It's a plaid pillow!
This is wonderful!
nice
Excellent! Oddly enough, I was also working on one of these just yesterday, but didn't like the execution speed. Yours works much better. Reminds me of being in Control Systems lab back in the 80's :)
cool
The pendulum would make a slightly different project, as that is a damped oscillator. Perhaps I should do that also.
Ah, the pendulum carving lines into sand, wasn't it? Nice use of the new trig functions, and still fun today!
Jens, since you taught me how to make the flip block and other stuff, I believe you can post a project of how to make a boolean <clicked?> block. I completely understand if you can't.