**THE
TRIFIGURATE NUMBERS 37 and 91**

These numbers are unique in that they may each be realised as a symmetrical formation of uniform counters - squares or circles in the case of 37, circles or spheres in respect of 91 - as depicted below.

But observe that these numbers are also related by the fact that they are, respectively, the difference and sum of the cubes of 4 and 3.

37 = 4^3 - 3^3

91 = 4^3 + 3^3

Vernon Jenkins MSc

2007-05-05