Overview Here's a shocking blow to the world of mathematics! A growing number of sources claim that the established value of Pi (π), 3.14159…, is incorrect. They propose instead an alternate value, claiming that Pi is 3.1446…, derived from 4 divided by the square root of the golden ratio and shown as π=4/√φ. It seems we live in a world where truths are continually … [Read more...]
Pi = 3.14159… vs Pi = 3.1446… – Circumference solution
As easy as Pi? A simple solution to a challenging problem. With the growing number of claims on the Internet that Pi is not 3.14159... but rather 3.1446... (4/√φ), I set out to find the simplest possible way to determine which value is correct. As someone known for my work with Phi (φ), this claim, which links Pi to Phi, naturally deserved my attention. While dozens of … [Read more...]
The World’s Most Beautiful Buildings, According to Science and the Golden Ratio
Abstract Several recent studies have attempted to rate the beauty of objects (cars, buildings) by mimicking an analysis technique created for facial analysis. While these efforts are very creative and involved a lot of work, they fail to produce reliable results for two reasons. First is that human faces have a common set of features that can measured against a standard, … [Read more...]
GDP growth subcycles and the Golden Ratio
In 2021, Bert de Groot, Professor of Governance and Strategic Investment Policy at Erasmus School of Economics, published a paper in “Technological Forecasting and Social Change” titled “Disentangling the enigma of multi-structured economic cycles - A new appearance of the golden ratio.” In his paper, De Groot examines the economic cycles of GDP growth in over two dozen … [Read more...]
The Science Channel Parthenon documentary features Gary Meisner as Golden Ratio Expert
If We Built It Today - Code of the Parthenon In April 2021, the Science Channel released an intriguing new documentary in their "If We Built It Today" series. In Episode 3 of Season 2, the "Code of the Parthenon" explores the wonders and mysteries of the Parthenon of ancient Greece, and contemplates what it would take to build it today. The show features experts in … [Read more...]
Light, the Human Body, Chakras and the Golden Ratio
Kalana Dido of France made a very insightful discovery in May 2021 that unites the visual spectrum of light, the proportions of the human body, the chakras (i.e, the centers of spiritual energy in the human body in Hindu tradition) and the Golden Ratio. This integrates four separate concepts, making it one of the more fascinating discoveries of Golden Ratio appearances I've … [Read more...]
Golden Ratio Interview – December 2020
As the author of this website, I'm often asked by students doing science and math projects for assistance, including answering questions when they need to interview someone on the golden ratio. Here are some questions from Elena from Austria, who was working on her pre-scientific work as one part of her final exam to finish high school, along with my responses to her. She … [Read more...]
Quantum Gravity, Reality and the Golden Ratio
What if the belief that the golden ratio is a foundational building block of the universe turned out to be true? Long thought to be the fodder of mystics and cranks, it now appears that once was thought to be myth may in fact be at the center of the math that defines reality as we know it. Quantum Gravity Research (QGR) is a research organization which states its mission … [Read more...]
The Golden Ratios of the Parthenon
The Parthenon has long been associated with the golden ratio. The lack of clear evidence to support this though has led some to conclude in error that this is just a myth. This article will provide the best evidence I've found to date to illustrate appearances of golden ratios in the design of the Parthenon. In my analysis, I'll use the golden ratio grids created with … [Read more...]
The Parthenon and the Golden Ratio: Myth or Misinformation?
Abstract: The application of the golden ratio by the designers of the Parthenon is a common point of confusion and dissension. Multiple seemingly credible sources state that the golden ratio was not used in the design of the Parthenon. Most of these, however, trace back to a single very inaccurate and incomplete article as their source. Once this information was published by a … [Read more...]
