By Abraham Stolk
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Superformula was created to have fun with mathematics. Anybody can explore the colorful universe of shapes described by a powerful formula.
The Superformula, or Gielis-formula was first proposed by Johan Gielis, The formula can be used to define a wide range of shapes, including shapes that occur in nature.
When describing shapes in three dimensions, two instances of the formula are applied, each with 6 parameters. This results in a 12 dimensional parameter space in which a multiverse of interesting shapes reside.
The Superformula app is developed as a tool to mine this 12 dimensional parameter space. By swiping your finger, the space is explored, two parameters at a time. The strength of this application comes from the lightning fast calculations used to determine the shapes. The app uses an OpenGL-ES2 vertex shader to compute the shapes on the graphics hardware of the device. This means zero wait, and instant visualization of the Gielis-shape.
- Category: Education
- Released: 27 April 2011
- Version: 1.0
- Size: 9.5 MB
- Language: English
- Developer: Abraham Stolk
- © 2011 by Abraham Stolk
Compatibility: Requires iOS 4.0 or later. Compatible with iPhone 3GS, iPhone 4, iPhone 4S, iPhone 5, iPhone 5c, iPhone 5s, iPad, iPod touch (3rd generation), iPod touch (4th generation) and iPod touch (5th generation).