Satellites cover the entirety of the planet
Source: Kvant Magazine No. 9 2020 M2620
March 9, 2023
geometrycombinatorial geometryKvant
Problem Statement
A satellite is considered accessible from the point of the planet's surface if it is located relative to the tangent plane drawn at point , strictly on the other side than the planet. What is the smallest number of satellites that need to be launched over a spherical planet so that at some point the signals of at least two satellites are available from each point on the planet's surface?Proposed by S. Volchenkov