Conic curves in jungle river metric

Abstract

In this article, we refer to different way of measuring distances than commonly used Euclidean metric. It is shown how some objects of two-dimensional geometry look like in the jungle river metric. Some examples of the objects are presented in pictures made in the free available Geogebra program, the conditions of occurrence of this objects are exactly described. Reading the text, one may learn that a sphere need not be round and a parabola may not be a bounded curve. Some task for the reader are included.