Phi relationships in a color spectrum produce rich, appealing color combinations Michael Semprevivo has introduced a concept called the PhiBar, which applies phi relationships to frequencies, or wavelengths, in the spectrum of visible colors in light. Colors in the spectrum that are related by distances based on phi or the golden section produce very rich and visually … [Read more...]
Credit Cards and Golden Ratio Proportions
Credit cards are in the shape of a Golden Rectangle. If you ever need an easily accessible example of a golden rectangle illustrating the proportions of the golden section, all you need do is to pull out a credit card or drivers license. . Standard sized credit cards are 54mm by 86mm, creating a ratio of 0.628, less than a millimeter off from a perfect golden ratio or golden … [Read more...]
Phi and Principles of Design
Phi creates a sense of beauty. Phi appears throughout life and the universe. Some believe that it is the most efficient outcome, the result of natural forces. Some believe it is a universal constant of design, the signature of God. Whatever you believe, the pervasive appearance of phi in all we see and experience creates a sense of balance, harmony and beauty in the design … [Read more...]
Music and the Fibonacci Sequence and Phi
Musical scales are related to Fibonacci numbers. The Fibonacci series appears in the foundation of aspects of art, beauty and life. Even music has a foundation in the series, as: There are 13 notes in the span of any note through its octave. A scale is composed of 8 notes, of which the 5th and 3rd notes create the basic foundation of all chords, and are based on … [Read more...]
Poetry composition using Fibonacci and Phi
Phi is not just the inspiration for art, architecture and design, but for poetry as well. Some poets use Fibonacci numbers in the construction of poetry. Others write poetry about phi itself. And while not exactly poetry per se, you wordsmiths might also enjoy the following anagrams: "The Golden Ratio" has the same letters as "The God Relation." "The Golden Section" has … [Read more...]
Quincy Park and Phi
Quincy Park in Cambridge, MA is a courtyard devoted to expressions of the Golden Spiral. It was designed in 1997 by artist David Phillips with the Halvorson Company and is located next to the Inn at Harvard in Harvard Square (1201 Massachusetts Ave), across the street from the Clay Math Institute (One Bow Street). There is a statue of a golden spiral in the middle, which … [Read more...]
The Universe as a Phi-based Dodecahedron
New findings in 2003 reveal that the shape of the Universe is a Dodecahedron based on Phi. In October 2001, NASA began collecting data with the Wilkinson Microwave Anisotropy Probe (WMAP) on cosmic background radiation. Like visible light from distant stars and galaxies, cosmic background radiation allows scientists to peer into the past to the time when the universe was in … [Read more...]
Golden Ratio Point of the Earth
Is there a Golden Ratio point of the Earth? It has been claimed that the Golden Ratio of the Earth is in Mecca. (See archived website or the 2009 video "Holy Mysteries" by Erdem Cetinkaya on Vimeo or YouTube. See also his updated 2023 "Holy Mysteries" video with English subtitles and related article on Kaaba and Arafat. Is this true? Latitude January 6, 2021: When I wrote … [Read more...]
World Trade Center Proposal (2002)
Note: The proposal below was submitted in 2002 for consideration in the development of the September 11 ground zero memorial. It illustrates a variety of principles of the appearance of Phi, the golden ratio, in life and its application to the creative effects of mankind to assure harmony with nature. A Vision for the World Trade Center Memorial Harmony with the Design … [Read more...]
