Please Consider My Wish!
1 2 4 9 16 25 36 49 64
Sixty Four Squares
2 to the 6th Power = 64
The sixth powers of integers can be characterized as the numbers that are simultaneously squares and cubes. In this way, they are related to two other classes of figurate numbers: the square triangular numbers, which are simultaneously square and triangular, and the solutions to the cannonball problem, which are simultaneously square and square-pyramidal.
Because of their connection to squares and cubes, sixth powers play an important role in the study of the Mordell curves, which are elliptic curves of the form
In the archaic notation of Robert Recorde, the sixth power of a number was called the “zenzicube”, meaning the square of a cube. Similarly, the notation for sixth powers used in 12th century Indian mathematics by Bhāskara II also called them either the square of a cube or the cube of a square.
81 will be my next square in my life of numbers.
Steven Michael Smith
Happy 64th Birthday, Steve. InspirationalTech.Org
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