Faculty Advisor

Mosco, Umberto

Abstract

We construct a family of Po ́lya-type volume-filling continuous maps from a rectangle onto a right triangular solid pyramid. The family is indexed by a parameter θ0 between 0 and π/4. We extend to these maps the differentiability results obtained by Peter Lax for the Po ́lya's map for different value of θ0.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2011

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

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