Hokusai's Tessellation Studies: Geometric Patterns from a Master Printmaker

A digitized work from Japan’s National Diet Library showcases tessellation studies attributed to Katsushika Hokusai, the Edo-period artist best known for The Great Wave off Kanagawa. The pages document how Hokusai approached repeating geometric patterns — the kind of interlocking tilings that would later be formalized mathematically in the 20th century by figures like M.C. Escher and crystallographers studying wallpaper groups.

The interest here is the intersection of artistic intuition and mathematical structure. Hokusai was working out symmetry, periodicity, and plane-filling designs centuries before group theory gave them a formal vocabulary, suggesting that the underlying combinatorics of tessellations were accessible through pure visual experimentation. For a technical audience, the artifact is a reminder that pattern-generation algorithms have a long pre-computational lineage.

The document is hosted in the NDL Digital Collections, part of Japan’s effort to make historical printed materials freely accessible online.