2 papers
math.MG2025
Cutting along a symmetric quadrilateral to construct an embedded flexible dodecahedron
Elvar Atlason
Until recently, the simplest known flexible polyhedron was Steffen's polyhedron on nine vertices. However, in 2024, an embedded flexible polyhedron on eight vertices was announced.…
math.MG2025
Constructing flexible polyhedra by twinning
Elvar Atlason, Simon Guest
Polyhedra are generically rigid, but can be made to flex under certain symmetry conditions. We generalise Raoul Bricard's 1897 method for making flexible octahedra to construct an…