Leonardo Alese

collaborators

4 papers

math.DG2020

Propagation of curved folding: The folded annulus with multiple creases exists

Leonardo Alese

In this paper we consider developable surfaces which are isometric to planar domains and which are piecewise differentiable, exhibiting folds along curves. The paper revolves aroun…

math.DG2020

Affine subspaces of curvature functions from closed planar curves

Leonardo Alese

Given a pair of real functions $(k, f)$ , we study the conditions they must satisfy for $k + λ f$ to be the curvature in the arc-length of a closed planar curve for all real $λ$ . Severa…

math.DG2020

Closing curves by rearranging arcs

Leonardo Alese

In this paper we show how, under surprisingly weak assumptions, one can split a planar curve into three arcs and rearrange them (matching tangent directions) to obtain a closed cur…

math.CO2018

On sequences covering all rainbow $k$ -progressions

Leonardo Alese, Stefan Lendl, Paul Tabatabai

Let $ac (n, k)$ denote the smallest positive integer with the property that there exists an $n$ -colouring $f$ of ${1, \dots, ac (n, k)}$ such that for every $k$ -subset $R…

Propagation of curved folding: The folded annulus with multiple creases exists

Affine subspaces of curvature functions from closed planar curves

Closing curves by rearranging arcs

On sequences covering all rainbow k-progressions

On sequences covering all rainbow $k$ -progressions