Manhatan and maximum metrics in school geometry tasks

Abstract

The aim of the article is to present a series of problems in which pupils are tasked with finding de facto loci of points in a plane, but, they work with distances according to the Manhattan or maximus metric principles. The problems are suitable for primary school pupils, but by increasing their difficulty, they can be solved by older pupils.

The article also mentions the necessary mathematical theory, which the pupils do not need to know in order to solve the problems, however, the teacher should be familiarised with,

Keywords

• metric space
• Euclidean distance
• Manhattan distance
• maximum distance
• loci of points
• circle