Triangles, Triangles and, Yes, More Triangles: Explorations in Euclidean Ramsey Theory
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.
Wilson, Kathleen, "Triangles, Triangles and, Yes, More Triangles: Explorations in Euclidean Ramsey Theory" (1994). Honors Theses. 462.
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