Cover Image

Exotic spherical flexible octahedra and counterexamples to the Modified Bellows Conjecture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Gaifullin, Alexander A.
Format:	Preprint
Published:	2025
Subjects:	Metric Geometry 52C25 (Primary), 51M25, 52B10 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Embedded flexible spherical cross-polytopes with non-constant volumes
by: Gaifullin, Alexander A.
Published: (2015)

Dehn invariant of flexible polyhedra
by: Gaifullin, Alexander A., et al.
Published: (2017)

The analytic continuation of volume and the Bellows conjecture in Lobachevsky spaces
by: Gaifullin, Alexander A.
Published: (2015)

Steffen's flexible polyhedron is embedded. A proof via symbolic computations
by: Alexandrov, Victor, et al.
Published: (2025)

The bellows conjecture for small flexible polyhedra in non-Euclidean spaces
by: Gaifullin, Alexander A.
Published: (2016)

Simplices with fixed volumes of codimension 2 faces in a continuous deformation
by: Zhang, Lizhao
Published: (2023)

Cutting along a symmetric quadrilateral to construct an embedded flexible dodecahedron
by: Atlason, Elvar
Published: (2025)

Rigidity of Koebe Polyhedra and Inversive Distance Circle Packings
by: Bowers, John C., et al.
Published: (2026)

The Perimeter Winternitz Theorem in a Triangle
by: Berele, Allan, et al.
Published: (2026)

Flexible cross-polytopes in spaces of constant curvature
by: Gaifullin, Alexander A.
Published: (2013)

Homothetic packings of centrally symmetric convex bodies
by: Dewar, Sean
Published: (2020)

Generalization of Sabitov's Theorem to Polyhedra of Arbitrary Dimensions
by: Gaifullin, Alexander A.
Published: (2012)

Angular constraints on planar frameworks
by: Dewar, Sean, et al.
Published: (2024)

Area bounds for planar convex bodies containing a fixed number of interior integral points
by: Bohnert, Martin
Published: (2023)

A volume correspondence between anti-de Sitter space and its boundary
by: Zhang, Lizhao
Published: (2023)

Uniquely realisable graphs in polyhedral normed spaces
by: Dewar, Sean
Published: (2025)

Edge-length preserving embeddings of graphs between normed spaces
by: Dewar, Sean, et al.
Published: (2024)

Rigidity of polytopes with edge length and coplanarity constraints
by: Himmelmann, Matthias, et al.
Published: (2025)

Spiderwebs on the Sphere and an Isoperimetric Theorem
by: Connelly, Robert, et al.
Published: (2025)

Identifying contact graphs of sphere packings with generic radii
by: Dewar, Sean
Published: (2023)

Rigidity, Tensegrity and Reconstruction of Polytopes under Metric Constraints
by: Winter, Martin
Published: (2023)

Infinitesimal rigidity and prestress stability for frameworks in normed spaces
by: Dewar, Sean
Published: (2021)

Spherical friezes
by: Waddle, Katie
Published: (2025)

Volume of a simplex as a multivalued algebraic function of the areas of its two-faces
by: Gaifullin, Alexander A.
Published: (2013)

Which graphs are rigid in $\ell_p^d$?
by: Dewar, Sean, et al.
Published: (2020)

Invariants and equidecomposability in rings of polygons with sides of given directions
by: Kiss, Gergely, et al.
Published: (2025)

Recognition of near-duplicate periodic patterns by continuous metrics with approximation guarantees
by: Anosova, Olga, et al.
Published: (2022)

Power with Respect to Generalized Spheres and Radical Surfaces in $\mathbf{H}^n$
by: Világi, Áron, et al.
Published: (2026)

Extremal decompositions of tropical varieties and relations with rigidity theory
by: Babaee, Farhad, et al.
Published: (2024)

Self-affine quadrangles
by: Richter, Christian, et al.
Published: (2025)

Regular functional covering numbers
by: Giannopoulos, Apostolos, et al.
Published: (2025)

Lower Bounding the Gromov--Hausdorff distance in Metric Graphs
by: Adams, Henry, et al.
Published: (2024)

Skeletal Snub Polyhedra in Ordinary Space, I
by: Schulte, Egon, et al.
Published: (2026)

Dilworth truncations and Hadamard products of linear spaces
by: Antolini, Dario, et al.
Published: (2025)

Inequalities for sections and projections of log-concave functions
by: Tziotziou, Natalia
Published: (2025)

On the Erdős distance problem
by: Agama, Theophilus
Published: (2020)

Discrete Yamabe problem for polyhedral surfaces
by: Kouřimská, Hana Dal Poz
Published: (2021)

Monochromatic triangles in the max-norm plane
by: Natalchenko, Alexander, et al.
Published: (2023)

Rigidity of nearly planar classes of graphs
by: Dewar, Sean, et al.
Published: (2024)

Convexity of Radial Mean Bodies via an extension of Ball's Bodies
by: Langharst, Dylan
Published: (2026)