don steward
mathematics teaching 10 ~ 16

Saturday, 8 October 2011

square numbers and 32 points

a (very fine) but difficult problem posed by Joe Kisenwether

try to arrange the numbers 1 to 32 inclusive around the circumference of a 32 point circle so that all adjacent pairs of numbers sum to a square number:

there is one (unique) solution

Nrich have an interactive version of this but not using all the consecutive numbers

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