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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.
Download as PDF; Printable version; In other projects ... Figurate numbers (1 C, 51 P) Pages in category "Dot patterns"
Download as PDF; Printable version; In other projects ... These are one type of 2-dimensional figurate numbers. ... 9 6 1, 325, 5330229625, … A048918: 9 7
A square pyramid of cannonballs in a square frame. 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.
A nonagonal number, or an enneagonal number, is a figurate number that extends the concept of triangular and square numbers to the nonagon (a nine-sided polygon). [1] However, unlike the triangular and square numbers, the patterns involved in the construction of nonagonal numbers are not rotationally symmetrical.
Download as PDF; Printable version ... triangular number is a centered figurate number that represents an ... centered triangular numbers (C 3,n = T N < 10 9) are: 1 ...