Page 332 - PowerPoint Presentation

MATEMATIKA JE SVUDA OKO NAS - ZLATNI PRESEK
MATH IS ALL AROUND US - THE GOLDEN RATIO
Autor: Ana-Marija Ćeranić VII razred Osnovna škola JELENA ĆETKOVIĆ – Beograd
Mentor: Violeta Komnenović, diplomirani matematiĉar, ETŠ „Nikola Tesla“, Beograd

REZIME

Zlatni presek najviše odgovara našoj unutrašnjoj potrebi za redom i harmonijom, koji se svodi na to da su u prirodi mogudi
samo oni sistemi koji su determinisani najboljom mogudom simetrijom, proporcijom i harmonijom. Ta proporcija
je zakon lepote koji se nalazi u međusobnom odnosu između pojedinih delova i delova prema celini. Primenom
ovog pravila u ljudskim tvorevinama se dobija „sklad” koji je „ugodan” za gledanje - prema Platonu, dobija se
lepota.Važnost proporcija u umetnosti detaljno je opisao još grčki skulptor Poliklet (polovina 5. veka) koji je
smatrao da je tajna umetnosti u skladnom odnosu veličina - proporcijama. Njegov "Grčki kanon" (skup pravila u
kojem je tačno navedeno kolika treba biti veličina svakog dela tela u odnosu na drugi), kao pojam lepote, uticao je
na antičke skulpture kroz vekove. I pre njega, stari su Grci gradili harmoničnu arhitekturu jer su za merenje
koristili mere preuzete iz veličine delova ljudskog tela po kojima su i nazvane: palac – dlan – pedalj – lakat – ruka –
korak. To je dakle bila arhitektura proporcionalna ljudskom telu; ostvarenje grčkog mota: Čovek je merilo svih
stvari! Zato, kad pogledamo grčku arhitekturu, u svim tim širinama i dužinama, mi nesvesno vidimo nešto što nam
je "slično" i zato nam se to "sviđa".
Sadržaj:Proporcija, matematička definicija zlatnog preseka Zlatni presek svuda oko nas ArhitekturaLikovna
umetnost
Muzika
Primenjena umetnost – dizajn i estetika
Priroda
Fotografija kao umetnost
Ključne reči: Proporcija, zlatni presek, Fibonačijev niz, božanska proporcija (Latin: sectio divina).

SUMMARY
Golden ratio suits our inner need for order and harmony, which comes down to the fact that in nature possible
only those systems that are determined by the best possible symmetry, proportion and harmony.

That proportion is the law of that beauty is in the mutual relationship between the individual parts and the parts
in a whole.
Applying this rule to human creations is considered "harmony" that is "comfortable" for viewing –
according to Plato, is obtained by beauty. The importance of proportion in art described in detail
another Greek sculptor Poliklet (half of the 5th century), which look on that the secret art of the
harmonious relationship between size - proportions. His "Greek canon" (a set of rules which correctly
stated what should be the size of each part of the body in relation to others), as the notion of beauty,
influenced the ancient sculptures through the ages. Before him, the ancient Greeks built a
harmonious architecture because the measures used to measure the size taken from human body
parts, after which it named: thumb - palm - span - Elbow - Hand - step. It was therefore proportional
to the architecture of the human body, creation of a Greek motto: Man is the measure of all things!
So when you look at the Greek architecture, in all these widths and lengths, we unconsciously see
something that is "similar" and that's why we like it "likes".

Contents:
Proportion, the mathematical definition of the golden ratio
Golden ratio is all around us
a) Architecture
b) Visual Art
c) Music
d) Applied Arts - Design and Aesthetics
e) Nature
f) Photography as Art
Keywords: proportion, golden ratio, Fibonacci sequence, divine section (Latin: sectio divina).