Carpetdiem is a mesmerizing showcase of the intersection between generative and traditional art. The collection, created by the new media artist Orkhan Mammadov using Processing p5.js, is based on the fractal Sierpiński carpet, a design concept first put forth by the Polish mathematician Wacław Sierpiński. This mathematical formula subdivides the shape of the equilateral square, again and again, making smaller copies of itself. The connection between mathematics and beauty is at the core of Orkhan Mammadov’s work. This piece depicts a digital version of a carpet formulated from an algorithm devised by Mammadov and derived from Sierpiński. The result is an automated production of not one carpet pattern but infinite possibilities of the same carpet, each time with a different aesthetic and with no possibility of repetition.