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|Alan W. Grogono|
|The Magic Carpet approach to understanding magic squares. Underlying many of the small sized pan-magic squares there is the simplest of patterns - best likened to a magic carpet - which can be endlessly repeated in all directions and can be sampled to provide the data necessary to create the resulting squares. Magic carpet underlying 4x4 and 5x5 squares; list of 144 5x5 Pan-magic squares; how to construct 6x6 squares; using spreadsheets, unique identifiers, total number of PanMagic prime-number squares.|
|Levels:||Middle School (6-8), High School (9-12), College|
|Math Topics:||Number Sense/About Numbers|
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