{42}

APPENDIX I

EXTRACTS FROM REMARKS BY COLONEL A. T. POWELL,
HEADMASTER OF NANTWICH GRAMMAR SCHOOL
(Referred to on p. 32).

“A circle can be drawn through any three points not in a straight line. If, however, one can be drawn through four points, or two concentric circles through 4 points (two on each circle), there must be a definite geometrical relation between the points. This may be by chance or by design. More than five points falling on one circle, or on two concentric ones, so diminishes the mathematical probability of chance that design alone need be considered.

“The circular arrangement may have been definitely planned as such, or have arisen geometrically out of quite a different idea of the designer. It is the latter alternative that Major Tyler rightly points out as a possibility that should be at least considered.

“It is beyond dispute that a grid must give a design of other regular figures. The converse does not necessarily hold. Regular figures may be so arranged that no reasonable grid exists.”