Sonic Adds Sound to Logo, Recamán, Chaos - Cleve Moler on Mathematics and Computing
 

I introduced Sonic in my [URL="https://blogs.mathworks.com/cleve/2024/11/16/lights-camera-action-and-sound"]blog post[/URL] last month. Today I will use Sonic to add sound to the graphics from three old posts, the vibrating L-shaped membrane, the Recamán sequence and the chaotic behavior of the Swinging Sticks.

[B]Contents[/B]
[LIST][*][URL="https://www.labfans.com/bbs/#e9ff097e-e75f-4b81-8895-e244f581b310"]Vibrating L-shaped Membrane[/URL][*][URL="https://www.labfans.com/bbs/#cbc7d9d8-9ee2-4c5d-ba4c-6fe7489d6414"]Recamán[/URL][*][URL="https://www.labfans.com/bbs/#d47a1013-4029-4056-bc4d-dd799b137dcc"]Swinging Sticks[/URL][/LIST][B]Vibrating L-shaped Membrane[/B]

For almost fifty years, I have wanted to [I]hear[/I] the MathWorks logo. I have written about the L-shaped membrane many times, [URL="https://www.mathworks.com/content/dam/mathworks/tag-team/Objects/t/72943_92021v00Cleve_L_Shaped_Membrane_Nov_2003.pdf"]link #1[/URL], [URL="https://blogs.mathworks.com/cleve/2014/10/13/mathworks-logo-part-one-why-is-it-l-shaped/"]link #2[/URL], [URL="https://blogs.mathworks.com/cleve/2014/11/17/mathworks-logo-part-four-method-of-particular-solutions-generates-the-logo/"]link #3[/URL].

[URL="https://blogs.mathworks.com/cleve/files/L_membrane.mp4"]Click on this link[/URL] and listen to the audio in a Sonic movie of the vibrating membrane. The sound is generated by resampling one tone from a xylophone.

And here is one frame from the movie.

[IMG]https://blogs.mathworks.com/cleve/files/L_membrane_png.png[/IMG]

[B]Recamán[/B]

The inventor of the [URL="https://en.wikipedia.org/wiki/Recam%C3%A1n%27s_sequence"]Recamán sequence[/URL] is a Columbian mathematician, Bernardo Recamán Santos. The sequence is [URL="https://oeis.org/A005132"]A005132[/URL] in the OEIS, the On-Line Encyclopedia of Integer Sequences. Here is [URL="https://blogs.mathworks.com/cleve/2018/07/09/the-oeis-and-the-recaman-sequence"]my blog post[/URL].

[URL="https://blogs.mathworks.com/cleve/files/Recaman.mp4"]Click on this link[/URL] and the listen to the audio in a Sonic movie of the Recamán sequence. The sound is generated by resampling the middle-C key of a piano.

Here is the last frame of the movie.

[IMG]https://blogs.mathworks.com/cleve/files/Recaman_png.png[/IMG]

[B]Swinging Sticks[/B]

The [URL="https://www.the-swinging-sticks.com/en"]Swinging Sticks[/URL] is a kinetic sculpture that exhibits chaotic behavior. I have added sound to my [URL="https://blogs.mathworks.com/cleve/2024/02/20/chaotic-swinging-sticks/"]blog post[/URL] about the sticks.

[URL="https://blogs.mathworks.com/cleve/files/Sticks.mp4"]Here is the link[/URL] to a Sonic movie of the Swinging Sticks. The audio is also generated by resampling one tone from a xylophone.

And, here is one frame from the movie.

[IMG]https://blogs.mathworks.com/cleve/files/sticks_png.png[/IMG]

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