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PRAVILNI POLIEDRI (PLATONOVA TELA)

Stefan Jovanovid Gimnazija Lazarevac

mentor: Violeta Komnenovid

Rezime:

Pravilni poliedri su konveksni, imaju sve strane podudarne,

jednake ivice i svi ivični uglovi su podudarni. Postoji 5 pravilnih

poliedara: tetraedar, heksaedar, oktaedar, dodekaedar i
ikosedar. Oni su poznati i pod nazivom Platonova tela. To su

konveksni poliedri čije se strane sastoje od pravilnih

mnogouglova (trougao, kvadrat, petougao). Iz svakog temena
krede jednak broj ivica. Oko Platonovih tela se može opisati

sfera.

1. Karakteristike pravilnih poliedara

2. Dokazi pravilnih poliedara

3. Poliedri u arhitekturi

ključne reči: poliedar, strana, ivica, mnogougao

Summary

Regular polyedars are convex, all sides are conterminous, edges

are equal and all edge angles are equal. There are 5 regular

polyedars: tethraedar, hexaedar, okthaedar, dodekaedar and

ikosaedar. They are known as Plato's figures. Those are convex
polyedars which flanks consist of proper multiangles (triangle,

square, pentagon). From each pate goes equal number of

edges. Spheras can be constructed around Plato's figures.

1. Polyedars' attributes

2. Proovings of the regular polyedars

3. Polyedars in architecture

key words: polyedar, flank, edge, multiangle