Visualization of functions and surface using a 3D printer

U ovom radu dane su općenite informacije o 3D printanju. Najprije o povijesti 3D printanja te o prvim početcima pojave 3D printa. Dan je kratak pregled 3D ispisa s obzirom na nastanak 3D modela te je napomenuto da će se u ovome radu 3D model dobiti modeliranjem pomoću računala. Opisane su vrste 3D modeliranja, dane su prednosti svake od njih s obzirom na neku drugu. Predstavljen je 3D printer pomoću kojeg su kasnije izrađivani modeli u praktičnom dijelu ovoga rada. Praktični dio rada sadrži detaljne upute i detaljan opis svih potrebnih koraka od zamišljenog modela do gotovog isprintanog modela. Po koracima opisani su svi formati neophodni za 3D ispis te isto tako i programi u kojima su se pojedine datoteke izrađivale. Vizualizirane su krivulje i plohe u alatu GeoGebra koji je univerzalan i opće prihvaćen alat za vizualizaciju korišten od raznih ljudi koji se na neki način bave matematikom. Prikazane su slike digitalnih i fizičkih modela te su dane prednosti korištenja 3D printera u obrazovanju te su predstavljene konkretne aktivnosti za učenike koje će uključivati korištenje 3D printera.This graduate thesis provides general information about 3D printing. First about the history of 3D printing and the first beginnings of the appearance of 3D printing. A brief overview of 3D printing with regard to the emergence of 3D models is given, and it is noted that in this paper the 3D model will be obtained by computer modeling. The types of 3D modeling are described, the advantages and advances of each of them with respect to another are given. A 3D printer was presented, with which models were later made in the practical part of this graduate thesis. The practical part of the paper contains detailed instructions and a detailed description of all the necessary steps from the imagined model to the finished printed model. The steps describe all the formats necessary for 3D printing, as well as the programs in which individual files were created. The curves and surfaces are visualized in the GeoGebra tool which is a universal and standardized visualization tool used by various people who are working with mathematics. Images are presented and for prepared printed models are given the advantages of using 3D printers in education and concrete activities for students that will include the use of 3D printers are presented