{"type":"standard","title":"Cannonball problem","displaytitle":"Cannonball problem","namespace":{"id":0,"text":""},"wikibase_item":"Q32178732","titles":{"canonical":"Cannonball_problem","normalized":"Cannonball problem","display":"Cannonball problem"},"pageid":28045698,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Rye_Castle%2C_Rye%2C_East_Sussex%2C_England-6April2011_%281%29.jpg/330px-Rye_Castle%2C_Rye%2C_East_Sussex%2C_England-6April2011_%281%29.jpg","width":320,"height":240},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/9/9f/Rye_Castle%2C_Rye%2C_East_Sussex%2C_England-6April2011_%281%29.jpg","width":1800,"height":1350},"lang":"en","dir":"ltr","revision":"1289561886","tid":"7ebfce21-2cca-11f0-abfa-cb09ff1aec35","timestamp":"2025-05-09T11:41:07Z","description":"Mathematical problem on packing efficiency","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Cannonball_problem","revisions":"https://en.wikipedia.org/wiki/Cannonball_problem?action=history","edit":"https://en.wikipedia.org/wiki/Cannonball_problem?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Cannonball_problem"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Cannonball_problem","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Cannonball_problem","edit":"https://en.m.wikipedia.org/wiki/Cannonball_problem?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Cannonball_problem"}},"extract":"In the mathematics of figurate numbers, the cannonball problem asks which numbers are both square and square pyramidal. The problem can be stated as: given a square arrangement of cannonballs, for what size squares can these cannonballs also be arranged into a square pyramid? Equivalently, which squares can be represented as the sum of consecutive squares, starting from 1?","extract_html":"
In the mathematics of figurate numbers, the cannonball problem asks which numbers are both square and square pyramidal. The problem can be stated as: given a square arrangement of cannonballs, for what size squares can these cannonballs also be arranged into a square pyramid? Equivalently, which squares can be represented as the sum of consecutive squares, starting from 1?
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