Tag archives: fractals

By Tushna Commissariat

Fractals have always fascinated me and I am sure it’s the same for many of you. What I find most intriguing about them is how the relatively simple base pattern, or “seed”, quickly scales up to form the intricate designs we see in a snowflake or a coastline. In the video above, mathematician and animator Grant Sanderson has created a montage of “space filling curves” – theoretically speaking, such curves can endlessly expand without every crossing its own path to fill an infinite space. Following on from these curves, Sanderson shows you just how a simple seed pattern grows into a fractal and also describes how small changes to a seed property – such as an angle in a V – can alter the final image. The above video follows from a previous one Sanderson created on “Hilbert’s curve, and the usefulness of infinite results in a finite world” so check them both out.

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