MathDB

min no ef equilaterals of side 1 to cover surface of equilateral side n+1/2n

Source: Danube 2009 p3

July 22, 2019

combinatoricscombinatorial geometryEquilateral TriangleEquilateralminimum

Problem Statement

Let

n

be a natural number. Determine the minimal number of equilateral triangles of side

1

to cover the surface of an equilateral triangle of side

n +\frac{1}{2n}