Joël Rouyer

activity

20122019

collaborators

5 papers

math.MG2019

Some inequalities for tetrahedra

Jin-ichi Itoh, Joël Rouyer, Costin Vîlcu

We prove inequalities involving intrinsic and extrinsic radii and diameters of tetrahedra.

math.MG2018

Farthest points on flat surfaces

Joël Rouyer, Costin Vîlcu

We consider the distance function from an arbitrary point $p$ on a flat surface, and determine the set $F_{p}$ of all \emph{farthest points} (i.e., points at maximal distance) from…

math.MG2018

Double normals of most convex bodies

Alain Rivière, Joël Rouyer, Costin Vîlcu +1

We consider a typical (in the sense of Baire categories) convex body $K$ in $R^{d + 1}$ . The set of feet of its double normals is a Cantor set, having lower box-counting dim…

math.MG2015

Steinhaus conditions for convex polyhedra

Joël Rouyer

On a convex surface $S$ , the antipodal map $F$ associates to a point $p$ the set of farthest points from $p$ , with respect to the intrinsic metric. $S$ is called a Steinhaus surfac…

math.MG2012

Sets of tetrahedra, defined by maxima of distance functions

Joël Rouyer, Costin Vîlcu

We study tetrahedra and the space of tetrahedra from the viewpoint of local and global maxima for intrinsic distance functions.