MathDB
hexagonal column with ...2003 numbers of tubes

Source: Portugal OPM 2003 p2

May 19, 2024
combinatoricscombinatorial geometry

Problem Statement

An architect designed a hexagonal column with 3737 metal tubes of equal thickness. The figure shows the cross-section of this column. Is it possible to build a similar column whose number of tubes ends in 20032003? https://cdn.artofproblemsolving.com/attachments/6/a/eb5714d2324aac8b78042d1f48f03b74ab0d78.png