Ming the Mechanic:
New Math

The NewsLog of Flemming Funch
 New Math2003-05-04 23:05
picture by Flemming Funch

Synergetic Earth News mentions this article about a new mathematical formula invented by a Belgian biologist, which apparently can generate a surprising range of natural shapes.
One simple equation can generate a vast diversity of natural shapes, a Belgian biologist has discovered. The Superformula, as its creator Johan Gielis has christened it, produces everything from simple triangles and pentagons, to stars, spirals and petals. ... The Superformula is a modified version of the equation for a circle1. Changing one term in the formula varies the proportions of the shape - moving from a round circle to a long and skinny ellipse. Changing another varies the axes of symmetry - shifting from a circle to triangle, square, pentagon and so on. Varying both proportion and symmetry together produces shapes with any number of sides, regular and irregular. It can also produce three-dimensional structures, and non-biological shapes such as snowflakes and crystals. "It's a new way of describing nature," says Gielis.
Now, where's the damn formula? Wolfram has a discussion of it here. Not that I really understand it. And it seems that Gielis has formed a company based on his formula.

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5 May 2003 @ 10:47 by craiglang : Deterministic and Transcendental
The first thing one really notices is that the forumla is a single valued, closed form function of one variable - the simplest possible form of function. The results are therefore deterministic, yet by varying the constants (m, n1, n2, a, b) they are also arbitrarily complex. A fascinating glimpse into the wonders of the mathematical world...  

18 Aug 2016 @ 09:13 by National drink of Pakistan @ : Malik
Any tragedy during Pakistan continues to worsen mainly because relief equipment and facilitate fall far in need of what is desirable. More facilitate is anxiously needed when the potential for many fatalities starts out to loom.  

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