Superformula and Superflow - Superfamily Reunited - Part 01

There you have it :) On the left you can see Johan Gielis Superformula doing 1570 rotations. This apparently is the number it takes to complete one full cycle in cartesian coordinates. From a circle back to its beginning, the circle. Incidentally 1570 is also the number of particles used to generate and complete one full shape. The only parameter used to animate the formula was the 4 in m over 4. But because this is not a variable given in the formula, I added it myself. Instead of just changing the number 4 I introduced a new variable t so that if it is 1, one rotation is achieved (the cartesian coordinates are divied into 4 quadrants, which makes one full rotation when 4 is given, alsö the reason why Johan added this paramter into this formula, which essentially is a simplification of the Theorem of Pythagoras).

By changing the variable t from 0 (no rotation) to around 1570, it multiplies 4 by this number, which becomes 6280 when t reaches 1570. What you see is the formula with the number 4 changed from 0 to 6280. Other parameters of the formula had to be changed, to make the shapes the way they are. You can change any other paramaters such as n1, n2, n3, a, b and m to create an infinite number of different shapes. I decided to stick with one set of parameters and only animate the amount of rotations, given by paramater t, to show the dynamic motion of the formula, which happens to be exactly the same as superflow, a technique I discovered on October 23rd 2009. It is no coincidence that what you see are exact replicas.

more info at http://vimeo.com/8979430

and superformula.mindflow.de

Music:
1) Trois Gymnopedies: No. 1: Lent et douloureux
2) Kim Hiorthoy - Alt måste bli anorlunda
3) 04 - Autechre - Obny overand (overand 333)

Category:

Education

Tags:

• superformula
• superflow
• super
• flow
• formula
• abstract
• geometry
• 3d
• animation
• unity
• consciousness
• mandala
• circle

[imsonotdead]

interesting .. i'm doing a school project where we have to implement the superformula in as3 in some way to our choosing : )