6 citations · 28 across the 11 of their papers we have counts for
16 papers
Continuous Flattening of All Polyhedral Manifolds using Countably Infinite Creases
Zachary Abel, Erik D. Demaine, Martin L. Demaine +4
We prove that any finite polyhedral manifold in 3D can be continuously flattened into 2D while preserving intrinsic distances and avoiding crossings, answering a 19-year-old open p…
Locating diametral points
Jin-ichi Itoh, Costin Vîlcu, Liping Yuan +1
Let be a convex body in , with . We determine sharp sufficient conditions for a set composed of , , or points of , to contain a…
Some inequalities for tetrahedra
Jin-ichi Itoh, Joël Rouyer, Costin Vîlcu
We prove inequalities involving intrinsic and extrinsic radii and diameters of tetrahedra.
With respect to whom are you critical?
Jin-ichi Itoh, Costin Vîlcu, Tudor Zamfirescu
For any compact Riemannian surface and any point in , denotes the set of all points in , for which is a critical point. We proved \cite{BIVZ} together…
The structure of the conjugate locus of a general point on ellipsoids and certain Liouville manifolds
Jin-ichi Itoh, Kazuyoshi Kiyohara
It is well known since Jacobi that the geodesic flow of the ellipsoid is "completely integrable", which means that the geodesic orbits are described in a certain explicit way. Howe…
Polyhedra with simple dense geodesics
Jin-Ichi Itoh, Joël Rouyer, Costin Vîlcu
We determine (non-necessarily convex) polyhedra having simple dense geodesics.