On the Hunt for Flexible Polyhedra

Year: 2025 Authors: Reymond Akpanya; Vanishree Krishna Kirekod; Sascha Stüttgen; Alice C. Niemeyer; Daniel Robertz

Core claim

Gluing oriented strips and caps can produce candidate polyhedra, and the authors demonstrate one that is infinitesimally flexible.

Topics

flexible polyhedra, strip-and-cap construction, infinitesimal flexibility, physical modeling

Domains

geometry, polyhedral combinatorics, rigidity theory, computer algebra, mathematical visualization, 3D physical models, tessellated forms

Methods

plastic triangle prototyping, gluing boundary loops, Julia computation, GeoCombSurfX

Media

Polydron plastic triangles, 3D-printed model, Julia program

Source status

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