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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). a member of the subset of the sets above containing only triangular numbers, pyramidal numbers , and their analogs in other dimensions.
Print/export Download as PDF; Printable version; In other projects ... This category includes not only articles about certain types of figurate numbers, ...
Download as PDF; Printable version; In other projects ... Figurate numbers (1 C, 51 P) Pages in category "Dot patterns"
Download as PDF; Printable version ... is a centered figurate number that represents a pentagon ... the pattern 1-6-6-1. Centered pentagonal numbers follow the ...
Proof without words that a hexagonal number (middle column) can be rearranged as rectangular and odd-sided triangular numbers. A hexagonal number is a figurate number.The nth hexagonal number h n is the number of distinct dots in a pattern of dots consisting of the outlines of regular hexagons with sides up to n dots, when the hexagons are overlaid so that they share one vertex.
In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon [1]: 2-3 . These are one type of 2-dimensional figurate numbers . Polygonal numbers were first studied during the 6th century BC by the Ancient Greeks, who investigated and discussed properties of oblong , triangular , and square numbers ...