Duration: 13:18

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The geometrical rules of perspective in art can be used to draw an object in any dimension. In this video, I show analogies of a cube in 1D (line segment), 2D (square), 3D (cube), 4D (tesseract), 5D (penteract) and 6D (hexeract).

The rule is simple - all parallel lines end in a single vanishing point, and straight line remains a straight line. Using basic geometry (intersections), all shapes can be projected.

This technique allows for any Euclidean space to be projected onto the screen, and thanks to the design of this application, I can change the dimension of the space by changing just one number, without recompiling the program.