One Line Visits 4,096 Rooms

BEHIND THE WORK

Can one continuous line visit 4,096 positions without crossing itself?

This is a sixth-order Hilbert curve. Each level rotates and joins four smaller copies of the previous path. After six levels, one line visits every cell in a 64 × 64 grid while consecutive positions remain neighbors. The complete coordinate algorithm appears in the video.

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

Music: 'Keep Climbing' by The Soundings

#MathArt #HilbertCurve #Fractal