YouTube - Donald Duck in Mathmagic Land - The Disney Classic - Part I / Part II - Order from Amazon in DVD or VHS. Gordon Plummer presentation on "The Nature of Things" - Google Video / ESnips / ESnips Download BBC UK, In Our Time - The Fibonacci Sequence BBC UK, Science - 5 Numbers, Programme 3, The Golden Ratio / Direct link to audio YouTube - The Golden Mean and … [Read more...]
Population Growth and the Fibonacci Sequence
The Fibonacci sequence was discovered by studying population growth. Population growth is also related to the Fibonacci series. In 1202, Leonardo Fibonacci investigated the question of how fast rabbits could breed under ideal circumstances. Here is the question that he posed: Suppose a newborn pair of rabbits, one male and one female, is put in the wild. The rabbits mate … [Read more...]
Phi and Fibonacci Jewelry
Following are sources of jewelry related to phi, the golden section and the Fibonacci series. Click on the image to see the jewelry and the description below to see background information. Ka-Gold Jewelry Nautilus Spiral Golden Mean Icosahedron Phi and The Golden Section Fibonacci Series Other … [Read more...]
Facial Proportions and Human Health
Facial structure predicts overall health problems. Ideal facial proportions are universal regardless of race, sex and age, and are based on the phi ratio of 1.618. For example, if the width of the face from cheek to cheek is 10 inches, then the length of the face from the top of the head to the bottom of the chin should be 16.18 inches to be in ideal proportion. Deviations … [Read more...]
Human Hand and Foot
The hand shows Phi and the Fibonacci Series. There are many examples of the Divine Proportion found throughout the design of the universe and everything in it, but let's take a look at one of the most important things first: You! We'll need a few Golden Section / Fibonacci building blocks: Each line is 1.618... times longer than the one before it. (Conversely, a section … [Read more...]
Mathematics of Phi, 1.618, the Golden Number
Phi, Φ, 1.618…, has two properties that make it unique among all numbers. If you square Phi, you get a number exactly 1 greater than itself: 2.618…, or Φ² = Φ + 1. If you divide Phi into 1 to get its reciprocal, you get a number exactly 1 less than itself: 0.618…, or 1 / Φ = Φ - 1. These relationships are derived from the dividing a line at its golden section point, … [Read more...]
Donations to GoldenNumber.net
A lot of effort has gone into making this site one of the best available on phi, and all at no charge to site viewers. Support from site visitors allows me to devote more time yet to exploring and expanding on this topic. If you would like to help meet the financial needs of this site, you can help in one of two ways. Purchasing anything from our affiliates generates a … [Read more...]
What is the Fibonacci Sequence (aka Fibonacci Series)?
Leonardo Fibonacci discovered the sequence which converges on phi. In the 1202 AD, Leonardo Fibonacci wrote in his book "Liber Abaci" of a simple numerical sequence that is the foundation for an incredible mathematical relationship behind phi. This sequence was known as early as the 6th century AD by Indian mathematicians, but it was Fibonacci who introduced it to the west … [Read more...]
Golden Ratio Product and Service Affiliates
Looking for other phi-related resources? This is a good starting point for books, golden mean gauges, do-it-yourself projects and links to other phi-related sites. In addition, GoldenNumber.net uses products and services from the following companies and as is pleased to offer them to you for your consideration through our affiliation with them. By purchasing goods and … [Read more...]
Phi / Golden Ratio Products and Services
Software: PhiMatrix Golden Ratio Software - Design and Analyze PhiMatrix golden ratio software is a design and analysis software application for Windows and Mac. The PhiMatrix grid system quickly overlays any image in any software on your screen to identify or apply phi proportions in various grid styles, as well as custom user-defined ratios. It's not a plug-in but a … [Read more...]
