How to Easily Find the Golden Ratio

The Golden Ratio can be found quite easily using only a straight-edge and a compass. To underline the upcoming release of my book, Constructions, I am going to detail one of the lessons here; How to find the Golden Cut of a Line….

Step One.

Begin with line AB. First construct a perpendicular from B.

Next, bisect line AB, and label it C.

Step Two

Open the compass to measure CB. With the metal tip on B, cut an arc on the perpendicular at B. Label the intersection D.

Draw line AD. Without changing the compass, put the metal tip on D and cut an arc on AD. Label the intersection E.

Step Three

Open the compass to measure AE. Put the metal tip on A and the pencil on E, then cut an arc to intersect line AB. Label it F.

F marks the Golden Cut of line AB.


This is just one of many constructions that will be covered in the instructional book, Constructions, due out in July 2011, and only available at

Published by: The Chemical Marriage

Aaron Stewart Lewis Knapp Born 1982, in Vero Beach, Florida Love for creativity flourished early in life for Aaron. He has created art since “he could hold things”. Earliest memories as an artist consist of drawing elaborate cross-sections of ant-hills at his grandmother’s kitchen table. Reflecting back he realizes, “It’s always been about connectivity, just look at the ant hills!” The talent grew from there. Knapp’s art is created from a feeling that the purpose of art is to “save the soul of humanity”; and believes the roles of artist, doctor, and priest to have a common origin and destiny; the shaman. He believes experience to be the engine of reality, with imagination as the fuel. His body of work is inspired by quantum physics, mysticism, anthropology, semiotics, mythology, ethnobotany, ecology, geometry and faith. In 2011, ‘The Chemical Marriage’ was created to house his many pursuits under one title. The name, chemical marriage, is inspired by a study of esoteric alchemy; part of a larger life-long pursuit in mystical experience. When asked to describe the nature of his work, one word sums it up, “Psychoactive”. Major Inspirations Include: Pythagoras, Nikola Tesla, Terrence McKenna, Jack Parsons, Salvador Dali, H.R. Giger, Bosch, Joseph Campbell, Alex Gray, MJ Keenan, Kris Kuksi, Olivier Sagazan, Joseph Bueys, Trent Reznor, Bill Hicks, Steve True, and John Lennon (to name a few in a very long list)

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