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One Line Folds a 4D Hypercube
Higher dimensions & 4D geometry

One Line Folds a 4D Hypercube

BEHIND THE WORK

Can a single line draw a 4-dimensional hypercube without lifting the pen? Because every vertex of the 4D tesseract has an even degree of 4, graph theory guarantees a complete Eulerian circuit of 32 edges. Projected into 3-dimensional space, watch the outer cube fold into the central void in one continuous unbroken trajectory with 0.000mm periodic closure.

Related Video: How Infinity Fits Inside a Circle (Longform Documentary LF_011) Playlist: Higher Dimensions & 4D Geometry

Artismathic turns equations into visual art - one function at a time.

#MathArt #Tesseract #Hypercube #4DGeometry #EulerianCircuit #Geometry #3DArt #Blender3D #GenerativeArt #Mathematics #Shorts

THE MATHEMATICAL RULE

Vertex set and projection before centering\text{Vertex set and projection before centering}V={−1,1}4V=\{-1,1\}^4P(x1,x2,x3,x4)=2.2(x1,x2,x3)2.65−x4P(x_1,x_2,x_3,x_4)=\frac{2.2(x_1,x_2,x_3)}{2.65-x_4}
Watch the drawing↗

WATCH IT COME TO LIFE

Watch the drawing

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