Optimal iso-area 4 x 4 checkerboard

David Dureisseix (1)

1 INSA Lyon - Institut National des Sciences Appliquées de Lyon

Iso-area origami models and checkered patterns are highly symmetrical designs. Some challenging issues concern the double-faced models (that can be reversed), and the optimality design (folding from an as small as possible initial square sheet of paper). This study focuses on the case of a 4 x 4 checkerboard exhibiting probably the highest degree of symmetry among all flat-folded models and the best-known optimality degree. This is an English version of a preprint submitted for publication as "Un échiquier 4 x 4 reverso optimal", in Le Pli, the journal of the Mouvement Français des Plieurs de Papier (MFPP), the French paperfolding association.

Mots clés: checkered patterns; iso-area; origami

Domaines: Mathématiques générales [math.GM]

David Dureisseix. Optimal iso-area 4 x 4 checkerboard. 2019. ⟨hal-02151659v1⟩