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Video-feedback loop! Exploring mirror-symmetric binary complex trees

Plug a USB webcam, open an app like Photo Booth or Chrome’s Webcam Toy, enable the mirror effect, and then point your webcam to the screen. What do you see? The images get trap in a fractal attractor that you have just created by closing the video-feedback loop! The camera roll angle acts as the argument of the complex number and the distance from the camera to the screen acts as its modulus. Isn’t it wonderful? Have fun exploring this space of fractals that live in the complex plane.

Maths Week at Work

Maths Week at work is a series of brief videos, aimed at showing to our teenagers the beauty and applicability of Mathematics, as well as the range of careers this discipline can open up.

Note Compass

Why is the music scale irregular? Why are there black and white keys in the piano, distributed in such a peculiar pattern? Why do we have a scale with tones and semitones? And more deeply, how notes are grouped into families, and what role do they play within such families?

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