ROOT RECTANGLES


THESE ARE OTHER RECTANGLES THAT YOU MIGHT EXPERIMENT WITH
(fig. 1)
We will first start with a square bisected diagonally.
(fig. 2)
Using the base corner as a point for your compass draw an arch from the opposite corner to the base and square the new area. This is a root 2 rectangle.
(fig. 3)
Extending the arch to begin at the NEW diagonal corner will create a root 3 rectangle.
(fig. 4)
Continuing this process will create additional roots the next being a root 4, which equals twice the height of the rectangle or two squares.
(fig. 5)
The root 5 rectangle has two golden sections in it. Notice that this is the same configuration used for the double page (ref. (fig. 9 & 10)) GOLDEN SECTION
(fig.6) A SQUARE & TWO GOLDEN RECTANGLES.
Another way of using the root 5 rectangle. This would make a fine triptych.  

(fig.7)
A GOLDEN SECTION (COMPARE)
Do you find the golden section to be a more pleasing proportion than the root rectangles? If so, perhaps you are an artist or a  human being.

BACK TO GOLDEN SECTION LAYOUT PAGE

MORE ON THE GOLDEN SECTION AND FIBONACCI
A SPECIAL THANK YOU TO DR. RON KNOTT UNIVERSITY OF SURREY
& HIS PAGES ON The Magic of Geometry and the Golden Section.
without his help this information would have been so vague I would have never have gotten it finished
The inspiration from this page and the golden section portion of  "Calligraphy" came from Walter Whitt deceased (Fresno City College) and Lloyd Reynolds deceased (Oregon). Additional inspiration and help came from Kent (PHIKENT) Steadman Retired (Fresno City College) now in washington st. Another Phikent page on the Golden Mean