Browsing by Author "Carrigan, Braxton"

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Evading Triangles without a map

Carrigan, Braxton (2010-01-06)

We divise a heuristic which enables a traveler to traverse the plane from a start point S to a target point T while evading unknown obstacles. The obstacles are assumed to be equilateral triangles which are all translates ...

Triangulations and Simplex Tilings of Polyhedra

Carrigan, Braxton (2012-07-09)

This dissertation summarizes my research in the area of Discrete Geometry. The particular problems of Discrete Geometry discussed in this dissertation are concerned with partitioning three dimensional polyhedra into ...