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Personal project · Built in 2019

The Tesseract

A four-dimensional cube, built in light.

Abstract. A hypercube can't exist in three dimensions, but its shadow can. This is a physical build of that shadow: a cube inside a cube, joined corner to corner by eight struts. Every edge is an aluminium channel with an LED strip inside, held together by 3D-printed joints.

Keywords: Fusion 360, 3D printing, aluminium extrusion, addressable LEDs

Source: github.com/Beanyy/Tesseract

Fig. 1. Rotation in the xw-plane
Rxw(θ) =
The finished tesseract, lit up on its stand
Plate I
Click anywhere to transmuteScroll
§1

Construction

Project a hypercube into three dimensions with perspective and you get two nested cubes. The far cell shrinks into the inner cube, the near cell grows into the outer one, and eight struts connect them.

§2

Patterns

Every edge is individually addressable. Try the patterns it runs.

The real patterns live in the firmware on GitHub.

§3

Plates

II
III
IV