| 31. | Lagrange's four-square theorem states that every positive integer can be written as the sum of at most four square numbers.
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| 32. | Square numbers are non-negative.
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| 33. | Offsetting the larger and adding, we arrive at 1, 1 + 3, 3 + 6 \ dots, the square numbers.
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| 34. | However, unlike the triangular and square numbers, the patterns involved in the construction of nonagonal numbers are not rotationally symmetrical.
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| 35. | Explain what square numbers are, and get them to colour in all the square numbers ( on the main diagonal ).
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| 36. | If each column is also an " n " digit square number then call this a " square of squares ".
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| 37. | Mathematician Matt Parker attempted to create a 3x3 magic square using square numbers in a YouTube video on the Numberphile channel.
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| 38. | The most common use in this sense is an odd integer especially when seen as a figurate number between square numbers.
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| 39. | Each of them is made by multiplying a squarefree number, by a square number that is " N " or less.
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| 40. | Explain what square numbers are, and get them to colour in all the square numbers ( on the main diagonal ).
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