Article 074 - A Golden Ratio Pythagorean Cube

The Form of the cube can produce the 'extreme and mean ratio', the 'golden ratio'

The side of a 1:1:1:1 cube can be bisected along the square root of 2

diagonal into the golden ratio

This produces 2 basic squares per side.

This produces 2 basic rectangles per side.

The sides of each square to the side of each rectangle

is in the golden ratio

The diagonals of all of the rectangles are equal.

The diagonals of all of the squares are equal and the square root of 2.

The rectangles can be broken down into an infinite number of squares

all in the same golden ratio.

In creating the squares the sides of the 1:1:1:1 cube are bisected in the

golden ratio.

If extended over the six sides of the cube of 1:1:1:1

This gives 12 basic rectangles and 12 basic squares that can be broken down into infinite squares with infinite square root diagonals all in the golden ratio

This forms a golden ratio cube.