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First, we give a geometric proof of Fermat's fundamental formula for figurate numbers. Then
we use geometrical reasoning to derive weighted identities with figurate numbers and …

What is the maximum overhang that can be obtained when a set of blocks of variable width
are stacked so that there is one block at each level? We determine the configuration of …

The idea of deploying physical reasoning to solve mathematical problems is not new.
Archimedes, most famously, determined the area and volume of various figures using similar …

First, we give a geometric proof of Fermat's fundamental formula for figurate numbers. Then
we use geometrical reasoning to derive weighted identities with figurate numbers and …

Classroom Page 1 Classroom In this section of Resonance, we invite readers to pose
questions likely to be raised in a classroom situation. We may suggest strategies for dealing …