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Wikipedia definition
1. Figurate numberThe term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term can mean polygonal number a number represented as a discrete r-dimensional regular geometric pattern of r-dimensional balls such as a polygonal number (for r = 2) or a polyhedral number (for r = 3).
Read “Figurate number” on English Wikipedia
Read “図形数” on Japanese Wikipedia
Read “Figurate number” on DBpedia

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