Thursday, 26 November 2015

A Metasquare Figured Tour

T. R. Dawson composed a figured tour with what he called the 'double triangle numbers' of the form n.(n+1) namely 2, 6, 12, 20, 30, 42, 56 in a figure of eight formation that was published in the London Evening Standard in 1932 (B17 in my Figured Tours booklet). I like to call these numbers 'metasquares'.

Waiting for a council inspector to call yesterday I though to while away the time by composing a figured tour and recalled the above task. There are too many or too few metasquares to arrange in a metasquare. It occurred to me to include the number 0 = 0.1 in place of 64 which would give a set of eight metasquares, all even numbers that might be arranged on a diagonal.

This is the result, composed 25 November 2015. The numbers are in cyclic order.

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