Mathematics in Modern World - The Golden Ratio

Phidias

He made the Parthenon statues.

Plato

He described five possible regular solids, which are related to the golden ratio

Euclid

He gave the first recorded definition of the golden ratio.

Fibonacci

He mentioned the numerical series, the ratio of sequential elements of the Fibonacci sequence approaches the golden ratio asymptotically.

Luca Pacioli

He defined the golden ratio as the "divine proportion."

Johannes Kepler

He proved that the golden ratio is the limit of the ratio of consecutive Fibonacci numbers.

Charles Bonnet

He pointed out that in the spiral phyllotaxis of plants going clockwise and counter-clockwise were frequently two successive Fibonacci series.

Martin Ohm

He is believed to be the first to use the term Goldener Schnitt (golden section) to describe this ratio, in 1835.

Mark Barr

He suggested the Greek letter phi (φ), the initial letter of Greek sculptor Phidias's name, as a symbol for the golden ratio.

Roger Penrose

He discovered a symmetrical pattern that uses the golden ratio in the field of aperiodic tilings, which led to new discoveries about quasicrystals.

Pythagoras

He was one of the first Greek mathematical thinkers.

Pythagoras

He was interested in philosophy, music and mathematics.

Pythagoras

He proved the Pythagorean Theorem to be true, and he helped create the Golden Ratio.

Pythagoras

He believed that beauty was associated with the ratio of small integers.

golden mean, divine proportion, golden proportion

The Golden Ratio is known by many other names such as... (three names)

1.6180339887...

What is the precise value of the Golden Ratio?

a+b/a = a/b

What is the mathematical equation of the Golden Ratio?

55 and 89

What are the first two consecutive numbers in the Fibonacci Sequence that is close to the Golden Ratio once divided?

40th

In what sequence is the Fibonacci Sequence close to the Golden Ratio in 15 decimals?

Phi (φ)

What is the symbol for the Golden Ratio?

34 and 21

In what angstroms is the helix spirals of the DNA molecule configured at which are consecutive numbers whose ratio is close to phi?

LEONARDO BIGOLLO PISANO

What is Fibonacci's real name?

Leonardo of Pisa and Leonardo Bonacci

What are the other two name Fibonacci is known for?

Edouard Lucas

He gave the numerical sequence now known as the Fibonacci sequence its present name.

Liber Abaci

Fibonacci wrote this book explaining why the Hindu-Arabic numeration system that he had learned about during his travels was a more sophisticated and efficient system than the Roman numeration system.