32 Edges Reveal a 4D Cube

BEHIND THE WORK

Can one continuous line reveal a four-dimensional cube?

A tesseract has 16 vertices and 32 edges. Each vertex is one of the 16 sign combinations (±1, ±1, ±1, ±1), and two vertices are connected when exactly one coordinate changes sign. The line traces every edge once before a 4D rotation and perspective projection turn the structure into the cube-within-a-cube form shown here. The complete construction appears in the video.

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

Music: 'Taking Chances' by The Soundings

#MathArt #Tesseract #4DGeometry