Page 387 - PowerPoint Presentation

FIBONAĈIJEV NIZ BROJEVA I BROJ FI. PHIBONACCY’S CHAIN OF NUMBERS AND NUMBER PHY

Autori: Stefan Jovanović OŠ ,,Slobodan Penezić-Krcun‟‟ VIII-2, Lazarevac

Mentor:Vesna Raišić

Rezime

U 13. veku Leonardo Fibonaĉi, italijanski matematiĉar, formirao je niz prirodnih brojeva koji je u 17. veku
nazvan ,,Fibonaĉijev niz brojeva‟‟.

U Fibonaĉijevom nizu brojeva svaki naredni broj se dobija sabiranjem predhodna dva. Fibonaĉi je pomoću
svog niza došao do iracionalnog broja Fi(Φ) koji iznosi 1.618033989... Fibonaĉijev niz je povezan sa
Paskalovim trouglom, a Fi sa zlatnim presekom.

Sadrţaj:

1. Fibonaĉijev niz brojeva i njegove karakteristike;
2. Izraĉunavanje broja Fi;
3. Veza Fibonaĉijevog niza i Paskalovog trougla;
4. Veza izmeĊu broja Fi i zlatnog preseka;
5. Zanimljivosti oko Fibonaĉijevog niza;
6. Zanimljivosti oko broja Fi.

Kljuĉne reĉi:niz,Fi,Fibonaĉi,broj.

Summary

In 13th century Leonardo Phibonacci , Italian mathematician, formed chain of natural numbers which was
called ,,Phibonacci‟s chain of numbers‟‟ in 17th century.In Phibonacci‟s chain of numbers every next
number is made by adding previous two. By his chain, Phibonacci came to irrational number, number
Phy(Φ) which amount 1.618033989... Phibonacci‟s chain is connected with Pascal‟s triangle, and Phy with
golden cut.

Content:

1. Phibonacci‟s chain of numbers and his preferences;
2. Comming to number Phy;
3. Connection of Phibonacci‟s chain of numbers with Pascal‟s triangle;
4. Connection of number Phy with golden cut;
5. Attractions about Phibonacci‟s chain of numbers;
6. Attractions about number Phy.
Key words:chain,Phy, Phibonacci,number