Waterworld with vortex (Bloom zoetrope)
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Product Description
This sculpture is intended to be spun while iluminated by a strobe light flashing at just the right frequency.
It will then show sphere covered in moving waves with a whirling vortex on top.
The video below shows a computer simulation of what it will look like.
The trick is that the angle through which the sculpture rotates between frames is the Golden angle. This is an idea by John Edmark: He took a sequence of shape elements, each rotated with respect to the previous one through the Golden angle about a common axis and also moving in the radial/axial plane, while possibly changing form. So after a rotation through the Golden angle, each element is replaced by its successor in the sequence, yielding an animation. This specific angle has the property of producing evenly spaced arrangements of elements because it is based on φ, the most irrational number.
This design shows wave surface with vortex in pure form and is similar to this product.
The wave surface is a superposition of periodic waves which have different periods and therefore different apparent drift speeds.
To make a somewhat uniform looking wave surface, I modulated the amplitude depending on the drift speed (which changes with the distance from the center), so that basically, waves within the right speed interval are amplified and others suppressed. Because this breaks down in the center (there are simply no suitable drift speeds available), I got the idea of deforming the surface into a vortex to hide the flat spot.
Then I shifted the center of the drift speed interval, depending on the distance to the center, so that the vortex would rotate.
Superposed on that are the radially infalling spiral waves which are made of Gabor-patches that move inward or outward at random speeds in ordinary Bloom-manner. Their amplitude also depends on where their speed is in a prescribed interval in order to achieve a preferred average velocity for the wave pattern.
The phase and amplitude of the individual waves depends on the latitude via Perlin noise. Because the radius, and therefore the wavelength, changes with latitude, the rate at which the Perlin noise functions are sampled depending on latitude has to be inversely proportional to the radius in order to achieve equal wavelengths in latitude and longitude directions. So I actually ended up integrateing the secans function while designing this!
Help for building the electromechanical equipment required to animate the sculpture:
https://siquod.org/en/bloom
http://www.instructables.com/id/Blooming-Zoetrope-Sculptures/
It will then show sphere covered in moving waves with a whirling vortex on top.
The video below shows a computer simulation of what it will look like.
The trick is that the angle through which the sculpture rotates between frames is the Golden angle. This is an idea by John Edmark: He took a sequence of shape elements, each rotated with respect to the previous one through the Golden angle about a common axis and also moving in the radial/axial plane, while possibly changing form. So after a rotation through the Golden angle, each element is replaced by its successor in the sequence, yielding an animation. This specific angle has the property of producing evenly spaced arrangements of elements because it is based on φ, the most irrational number.
This design shows wave surface with vortex in pure form and is similar to this product.
The wave surface is a superposition of periodic waves which have different periods and therefore different apparent drift speeds.
To make a somewhat uniform looking wave surface, I modulated the amplitude depending on the drift speed (which changes with the distance from the center), so that basically, waves within the right speed interval are amplified and others suppressed. Because this breaks down in the center (there are simply no suitable drift speeds available), I got the idea of deforming the surface into a vortex to hide the flat spot.
Then I shifted the center of the drift speed interval, depending on the distance to the center, so that the vortex would rotate.
Superposed on that are the radially infalling spiral waves which are made of Gabor-patches that move inward or outward at random speeds in ordinary Bloom-manner. Their amplitude also depends on where their speed is in a prescribed interval in order to achieve a preferred average velocity for the wave pattern.
The phase and amplitude of the individual waves depends on the latitude via Perlin noise. Because the radius, and therefore the wavelength, changes with latitude, the rate at which the Perlin noise functions are sampled depending on latitude has to be inversely proportional to the radius in order to achieve equal wavelengths in latitude and longitude directions. So I actually ended up integrateing the secans function while designing this!
Help for building the electromechanical equipment required to animate the sculpture:
https://siquod.org/en/bloom
http://www.instructables.com/id/Blooming-Zoetrope-Sculptures/
Details
What's in the box:
Waterworld with vortex 2 (zoetrope)
Dimensions:
Success Rate:
First To try.
What's this?
Rating:
Mature audiences only.
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