Electronic Proceedings
of the 12th Asian Technology Conference in Mathematics
Abstract for 12724
Two explorations with Cabri 3D leading to two theorems
Authors: Jean-Jacques Dahan
Affiliations: IREM of Toulouse
Keywords:
Topics: Applications using
Dynamic/Interactive Geometry or/and CAS
Exploring the volume of the convex envelope of a net of a cube with Cabri 3D, as the net opens and closes will lead to a conjecture about the maximum of this volume. We will prove this conjecture. We will also solve experimentally the problem of the tessellation of a cylinder with equilateral triangles after the observation of a picture taken in the convention enter of Hong Kong. The proof will be exposed. Eventually we will present quasi-tesselations to illustrate the Schwarz paradox in relation with the lateral area of a cylinder