Technology in Mathematics Education
Fall 2005, Volume 6, Issue 1
Phi Phun
The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures. It is denoted f, or sometimes t (which is an abbreviation of the Greek "tome," meaning "to cut").

The term "golden section" (goldene Schnitt) seems to first have been used by Martin Ohm in the 1835 2nd edition of his textbook Die Reine Elementar-Mathematik. The first known use of this term in English is in James Sulley's 1875 article on aesthetics in the 9th edition of the Encyclopedia Britannica. The symbol ("phi") was apparently first used by Mark Barr at the beginning of the 20th century in commemoration of the Greek sculptor Phidias (ca. 490-430 BC), who a number of art historians claim made extensive use of the golden ratio in his works.
Exact values
Editor: Scott S Albert
Meditating Mathematicians
Critical Thinking in Mathematics Education
Continued Fraction
Continued Radical
Relation to Fibonacci
A Series

If n = 1,