This program will draw fractals with an Iterated Function System or by the Chaos Game. Either method requires that the transformations defining the IFS be given. An IFS is composed of a number of ...

Begin by inputing a starting IFS and a final IFS ('Start Pattern' and 'End Pattern'). That is, the 6 numbers a,b,c, d,e,f that define each of the transformations w_i of the initial and final IFS. You ...

Students investigate fractals, learn how fractals can be used to determine the length of a coastline, and explore the expression of mathematical principles in art. state some of the characteristics of ...

Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

Three high schoolers and their mentor revisited a century-old theorem to prove that all knots can be found in a fractal called the Menger sponge. In the fall of 2021, Malors Espinosa set out to devise ...