Discrete Geometry

Abstract

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• Focuses on studying geometric structures with a finite or countable set of points

Triangle Inequality Theorem

• In order to form a closed triangle, $(a+b>c)\cap (a+c>b)\cap (b+c>a)$, where $a,b,c$ are the 3 sides of the triangle

• We call triangle that fails to meet Triangle Inequality degenerate

• For triangles that meet Triangle Inequality, we call them non-degenerate

  
  

• Triangle inequality theorem