don steward
mathematics teaching 10 ~ 16

Tuesday, 18 September 2012

a wave of primitive pythagorean bombers

what dimensions would the next triangles have?
why are there gaps?

(great) pictures: Adam Cunningham and John Ringland (from Wikipedia)

there are many patterns to explore, mainly involving the number 4
the 'lines': families of triples, are connected by a constant relationship ('horizontally)
as are the 'vertical' values
students will need to be able to find 'm' and 'n' for each triple from the Pythagorean triple generator formula:

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