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Eight Squared

1 2 4 9 16 25 36 49 **64**

** Sixty Four Squares **

**2x2x2x2x2x2 or **

**2 to the 6th Power = 64**

**From Wikipedia **

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

- y2=x3+k.

When

k

k

k=1

k=−432

x

y

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

Inspirational Technologies

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