Jun Maekawa Origami -

Genuine Origami: 43 Mathematically-Based Models, From Simple To Complex

His models do not rely on heavy sculpting (wetting the paper and molding it like clay). Instead, they rely on the tension and geometry of the paper itself. When you fold a Maekawa design, you are assembling a puzzle. Every flap has a purpose, and the paper is allocated with an engineer's precision.

Consider a single vertex where multiple creases intersect. For the paper to lie flat without self-intersecting, the sum of alternating angles must equal 180 degrees. By analyzing the angular order around the vertex, Maekawa proved that the total number of creases n must be even, and the parity constraint (M – V = ±2) must hold. jun maekawa origami

Jun Maekawa’s origami is a rare case where a mathematical theorem became an artistic manifesto. By proving that a flat-foldable vertex must have a surplus of two mountains over valleys (or vice versa), Maekawa gave designers a rule that does not restrict creativity but rather channels it into structurally sound, elegant forms. His models demonstrate that constraint—when understood deeply—becomes a source of style. In an era where computational origami can simulate any shape, Maekawa’s work remains a testament to the beauty of simplicity, geometry, and the irreducible logic of a single square.

For any vertex in a flat-foldable crease pattern, the difference between the number of mountain folds (M) and valley folds (V) is exactly 2. That is, |M – V| = 2. Every flap has a purpose, and the paper

Maekawa’s influence extends beyond models into how origami is taught and computed.

: This seminal work introduced many to the concept of mathematically-aided design. By analyzing the angular order around the vertex,

Maekawa is a central figure in the field of . He is famous for articulating Maekawa’s Theorem , a fundamental rule in flat-foldable origami: