Using Cymatics and standing waves of sound to make 3d shapes
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Furan



Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic

PostPosted: Sun Aug 18, 2013 8:14 am    Post subject: Reply with quote

It's gorgeous !!! What types of wave functions are you using?
Platni pattern, radial and circular wave forms? Anything else?
I will create some animations like this for http://furan.sweb.cz/MathPainter.htm

I wonder if this could be done in 3D. With no blobs or bubbles, more like a stem-like gyroid, changing smoothly.
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ufoace



Joined: 11 Mar 2013
Posts: 46

PostPosted: Sun Aug 18, 2013 11:53 am    Post subject: Reply with quote

Thankyou, i was amazed by the variety of shapes that the formula made. it would be nice if it could display different types of patterns, the only thing i can think of for further variations is use it as a base from which geometric procedural forms can be arranged.


The equation consists of at least 5 concentric sinus waves. One in the middle and 2 on each axis. as if one wave exists in the middle and 4 bounce back from each side of a square pond. with these 5 sines, it looked very amazing, so i added 4 more to see what happens when the waves bounce back from either end, i wanted make cymatics:) the waves are added together 1+2+3+4+5...


The variations in the pattern comes from changing the distance of the 4 axis sinuses from the centre to the same distance, changing their amplitude and period using the same values for all 4.

I was aware that the sines would have very complex interactions at the diagonals and in the corners, so i added also a concentric polar rose to the centre that can have 2-4-8 symmetries... by making a very varied wave in the centre, it can amplify many combinations of the surrounding 4 waves into the same image.

to make it 3d is straightfwards, just arrange 1 central spherical sine and 6/12 sines around the axes and add them together.
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Furan



Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic

PostPosted: Sun Aug 18, 2013 1:27 pm    Post subject: Reply with quote

Thank you for the info.
For 3d this would make islands and bubbles. But what if instead of adding we used multiplication. That could work. I'll try that.
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ufoace



Joined: 11 Mar 2013
Posts: 46

PostPosted: Sun Aug 18, 2013 8:38 pm    Post subject: Reply with quote

very nice animations also! an interesting page is that of Flexi23, he programs and collects all kinds of mamethatical models.
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ufoace



Joined: 11 Mar 2013
Posts: 46

PostPosted: Wed Aug 21, 2013 2:26 pm    Post subject: Reply with quote

I just did a fast test of the wave convergence program using triangle waves instead of sin wave, acos(sin(x)) is triangle.

The iso shapes are interesting for isosurfaces, as they are pointy, although i think that would translate to ridges in 3d, i would prefer spikey objects with spirals Smile.

here is a video:
http://youtu.be/WaS0OCFe5NA
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ufoace



Joined: 11 Mar 2013
Posts: 46

PostPosted: Tue Aug 27, 2013 2:38 pm    Post subject: Reply with quote

I tried some 3d work based on this stuff, i think i should place the sines on a ramp to focus them at the centre.

Hihi! i like these graphis programs, i had an artefact Razz
http://www.youtube.com/watch?v=KRX5xAet7fw
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