Maths in Art 4: Irrationals


In mathematics irrational numbers are numbers that go on forever, but moreover the digits are completely unpredictable. Pi (π) is a good familiar example, the ratio between the diameter of a circle and it’s circumference. π = 3.1415926535…

The lack of pattern makes them seem quite ugly numbers, we can’t even write down exactly what this number is so substitute it with a Greek letter, but Cristian Ilies Vasile makes use of the irregularity to create these images.

links-pi-cristian

Each number is linked dependant on it’s position in the decimal representation of π. The next two images are created using the irrational numbers φ = 1.61083… (The Golden Ratio) and e = 2.7182818… (The exponential number, a special number with the unique mathematical property that the curve e^x has gradient e^x).

circos-phi-dots-1k

transition-thumb

If you want to understand exactly how these images relate to π, φ and e click here.

Nick Volker also used the π to create the image below, by programming a small robot to move and change colour lights depending on the digits.

lightpaint_slide_original Nik Volker

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3 responses to “Maths in Art 4: Irrationals

  1. Pingback: My Inspiration. – Clancy Walters·

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