Article 074 - A Golden Ratio Pythagorean Cube
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.
Ian K Whittaker
Websites:
https://sites.google.com/site/architecturearticles
Email: iankwhittaker@gmail.com
07/01/2014
14/10/2020
195 words over 2 pages.