Book Reviews

The making of pictures and the use of mathematics are often considered as activities carried out by two different classes of people.

It may be true that the artist can get on without mathematics, but the converse is far less true.

The operation which an artist terms ‘drawing’, might be described by a mathematician as ‘the mapping of a three‐dimensional network into a two‐dimensional one’.

This article attempts to show how the mathematically minded student can use his mathematics to manipulate pictures. In doing so it introduces him to the tasks which a computer must perform in picture manipulation.

The article is in two parts:

Part A, discusses the use of three‐dimensional sketching and the role it plays in the preparation of ‘orthographic’ working drawings.

It describes how a designer transfers his thoughts about spacial objects to paper, thus assisting himself to refine them and enabling others to perceive them.

A case is made for encouraging perspective sketching in the teaching of engineering drawing.

Part B describes a technique for plotting perspective sketches by numerical methods, which may be useful in motivating numerically inclined students towards involvement with perspective sketching.