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A density version of a geometric ramsey theorem

✍ Scribed by T.C Brown; J.P Buhler

Book ID: 107884952
Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 691 KB
Volume: 32
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(82)90062-0

No coin nor oath required. For personal study only.

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In this note we shall prove a geometric Ramsey theorem. Let T be a triangle with angles 30, 60 and 90 degrees, and with hypotenus of unit length. Then the theorem says that if one threecolors the 3-space, then there is always a copy of T with monochromatic vertices. We shall also show that there is