Page 337 - PowerPoint Presentation

CRTANJE GEOMETRIJSKIH FIGURA IZ JEDNOG POTEZA
DRAWING GEOMETRIC FIGURES IN ONE STROKE

Autor : NIKOLINA MARKOVIĆ VIII razred OŠ „Vojislav Voka Savić“ Lazarevac
Mentor : VESNA RAJŠIĆ, profesor matematike OŠ „Vojislav Voka Savić“ Lazarevac

REZIME

Postoje takve geometrijske figure koje se mogu nacrtati jednim potezom olovke,tj. tako da se vrh olovke

ne odvaja od hartije i da se duţ svake sastavne linije figure olovkom preĊe taĉno jednom. Navedenim i
drugim sliĉnim osobinama figura bavi se teorija grafova-moderna i sasvim mlada grana matematike. Ona

prouĉava osobine figura (grafova) koje se sastoje od ĉvorova i linija koje ih povezuju.Pri tome se ne
uzimaju u obzir njihove geometrijske osobine (oblik,dimenzije i sl.).Bitne su samo veze izmeĊu ĉvorova i

linija.
Ono što me je podstaklo na istraţivanje u ovoj oblasti je to što do rešenja moţemo doći neposrednim

crtanjem i razmišljanjem,ali ponekad nas to moţe dovesti u „ćorsokak” pa ipak treba poznavati odreĊena

matematiĉka pravila.

Kljuĉne reĉi : geometrijske figure,ĉvor,linija,graf,Ojlerov graf

SUMMARY

There are such geometrical figures that can be drawn with one stroke of a pencil, ie so that the tip of the

stylus is not separated from the paper and to each component along the pencil lines cross the figure
exactly once. These and other similar features of figures engaged in graph theory - modern and very

young branch of mathematics. It studies the characteristics of figures ( graphs ) that are composed of
nodes and lines connecting them. This is not taking into account their geometric characteristics ( shape,

dimensions, etc.). Important are only connections between nodes and lines.

What encouraged me to research in this area is that we can come to a solution by direct drawing and
thinking, but sometimes it can lead us to a "dead end" and yet we need to know certain mathematical

rules.

Keywords: geometric figures, knot, line, graph, Euler graph.