**Appendix
1 - The unique numerical geometry of 37**

The
geometrical attributes of certain whole numbers (when these are
expressed as collections of uniform circular or spherical
counters) represent eternal truths that may be readily grasped by
all who have an eye for regularity of form and possess the
ability to count - in short, that includes most of us! Such
numbers are said to be * figurate*. About
5000 of these occur among the first million natural numbers; of
these, some 60 or so may assume two distinct forms as, for
example, 64 which is both square (8x8) and cube (4x4x4).
Extending the range without limit, there are just two examples
which transcend such

Present interest focuses on 37. Here are the geometrical details:

The two first realisations (hexagon and hexagram) each have 6 axes of symmetry; the last (octagon, or truncated square), 4.

For further information on the figurate numbers please click here.

Vernon Jenkins MSc

2001-11-18