Curved-Crease Origami Spirals Constructed from Reflected Cones

Year: 2023 Authors: Klara Mundilova; Erik D. Demaine; Robert Lang; Tomohiro Tachi

Core claim

Two geometric constructions guarantee the mathematical existence of curved-crease origami spirals, including conical and exploded-vertex variants.

Topics

curved-crease origami, rotational symmetry, developable surfaces, spiral constructions

Domains

geometry, symmetry, developable surfaces, conic surfaces, origami, paper folding, computational design, paper craft

Methods

geometric construction, reflection through plane, triangle wreath, interactive design tool

Media

paper, crease patterns, Rhino

Source status

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