The Theory and Practice of Perspective

by G. A. Storey

[ CXIII]

A Pavement Composed of Octagons and Small Squares

To draw a pavement with octagonal tiles we will begin with an octagon contained in a square abcd. Produce diagonal ac to V. This will be the vanishing point for the sides of the small squares directed towards it. The other sides are directed to an inaccessible point out of the picture, but their directions are determined by the lines drawn from divisions on base to V² (see back, [Fig. 133]).

Fig. 204.

I have drawn the lower figure to show how the squares which contain the octagons are obtained by means of the diagonals,

BD, AC, and the central line OV². Given the square ABCD. From D draw diagonal to G, then from C through centre o draw CE, and so on all the way up the floor until sufficient are obtained. It is easy to see how other squares on each side of these can be produced.