MathDB
shortest path for an ant on surface of cube 2020 BMT Team 3

Source:

January 7, 2022
geometry3D geometrycube

Problem Statement

An ant is at one corner of a unit cube. If the ant must travel on the box’s surface, the shortest distance the ant must crawl to reach the opposite corner of the cube can be written in the form a\sqrt{a}, where aa is a positive integer. Compute aa.