More Axopictures from Axoplans

Abstract

When infants are given coloured shapes to play with they begin to study physical geometry. The toys have various defects of materials and workmanship. Some students play with imaginary perfect toys which have no defects. That is pure geometry.

In schools, Physical Geometry is dealt with in the Art and Craft Departments. Pure Geometry is the province of the Mathematics Department. The two kinds of geometry are not allowed to mix.

Engineers and some other applied scientists and technologists often combine pure and physical geometry and thereby create great inventions and magnificent works. They have to be careful that they do not also create confusion in their own and other people's imaginations.