We construct a family of Polya type volume-filling continuous maps from a rectangle onto a right triangular solid pyramid. The family is indexed by a parameter between 0 and 4. We extend to these maps the differentiability results obtained by Peter Lax for the Pomap for different value of theta.

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Creator

• Liu, Pan

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042811-164259

Advisor

• Mosco, Umberto

Year

• 2011

Date created

• 2011-04-28

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright