MMW quiz 2 pt 1 Flashcards
is formed by adding the preceding numbers, beginning with 0 and 1 * Some book starts from 1 and 1.
Fibonacci Sequence
is an ordered list of numbers, called terms, that may have repeated values. The arrangement of these terms is set by a definite rule.
Sequence
Fibonacci means
Son of Bonacci
Published the Liber Abbaci, or Book of Calculation
Leonardo Pisano Bigollo (1170-1250)
an arithmetical text that concentrated primarily on financial computations and encouraged the use of Hindu- Arabic numerals
Book of Calculations / Liber Abbaci
A man had placed a pair of rabbits in a spot surrounded on all sides by a wall. How many pairs of rabbits will be created from that pair in a year if each pair is supposed to produce a new pair per month, with the second month being the most productive?
The Rabbit Production Problem
It is an irrational number. Geometrically, it can also be visualized as a rectangle perfectly formed by a square and another rectangle, which can be repeated infinitely inside each section.
Golden Ratio
Golden Ratio
1.618
It was discovered that the Fibonacci sequence’s mysterious and elusive properties have a deep association with
_____
the golden ratio
The golden ratio has an ________to the fibonacci sequence.
Asymptotic relationship
Fibonacci Sequence calcu formula
(1 ÷ √5)((((1 + √5) ÷ 2) ^ n) - (((1 - √5) ÷ 2) ^ n) )=
The the Golden ratio (or Golden Part, or Golden Proportion, or Divine Proportion) is generally denoted by the Greek letter ___________ which represents an irrational number 1.6180339887…
Phi (φ), in lower case,
It is said that Phi is the initial letters of ______ name adopted to designate the golden ratio.
Phidias
American mathematician, who proposed using the first letter of Phidias to represent the golden ratio in the 1900s
Mark Barr
the proportions of the length of the nose, the position of the eyes and the length of the chin all conform to some aspect of the Golden Ratio.
Mathematics and physical beauty
was a greek sculptor, painter, and architect. His statue of zeus at olympia was one of the seven wonders of the world.
Phidias or Pheidias
was an ancient Greek mathematician active as a geometer and logician. Considered the “father of geometry”, he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. Wikipedia
Euclid
was an ancient Greek philosopher born in Athens during the Classical period in Ancient Greece. In Athens, He founded the Academy, a philosophical school where he taught the philosophical doctrines that would later became known as Platonism
Plato