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Download as PDF; Printable version; In other projects ... Figurate numbers (1 C, 51 P) Pages in category "Dot patterns"
Figurate numbers were a concern of the Pythagorean worldview. It was well understood that some numbers could have many figurations, e.g. 36 is a both a square and a triangle and also various rectangles. The modern study of figurate numbers goes back to Pierre de Fermat, specifically the Fermat polygonal number theorem.
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 ... is a centered figurate number that represents a pentagon ... the pattern 1-6-6-1. Centered pentagonal numbers follow the ...
Download as PDF; Printable version; ... In mathematics, a decagonal number is a figurate number that ... unlike the triangular and square numbers, the patterns ...
This is also the number of points of a hexagonal lattice with nearest-neighbor coupling whose distance from a given point is less than or equal to . The following image shows the building of the centered triangular numbers by using the associated figures: at each step, the previous triangle (shown in red) is surrounded by a triangular layer of ...
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