Title

Triangles, Triangles and, Yes, More Triangles: Explorations in Euclidean Ramsey Theory

Document Type

Thesis

Publication Date

1994

Advisor

Jennifer Galovich

Abstract

Several important general theorems of Euclidean Ramsey Theory are presented with an emphasis on trying to prove or disprove the 1973 conjecture of Erdös et al. that for all triangles, except for equilateral triangles, it is possible to find a monochromatic coloring of the vertices in any two colorings of the plane. Further investigation included looking at triangles in greater dimensions.

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