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. 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).  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. You can keep up to date with my blog by liking my Facebook page or following me with a WordPress account.