Imaginarna kocka

diplomsko delo

Jana Češarek (Author), Andrej Bauer (Mentor)

Abstract

V diplomski nalogi so predstavljene različne oblike poliedrov, ki pod določenim zornim kotom ustvarijo projekcijo kvadrata. Ker se ta projekcija prikaže še iz ostalih dveh pravokotnih smeri, imenujemo taka telesa imaginarne kocke. Projekcija kvadrata pa ni edina zanimivost, zato so omenjeni tudi latinski kvadrati, s pomočjo katerih iz imaginarnih kock generiramo nove imaginarne kocke ter fraktale, ki se pojavijo, če postopek ponovimo neskončnokrat. Opisana je metoda sledenja žarku in orodje POV-Ray, v katerem sem izdelala slike in animacije imaginarnih kock.

Keywords

imaginarna kocka;latinski kvadrat;fraktal;metoda sledenja žarku;POV-Ray;računalništvo;računalništvo in informatika;računalništvo in matematika;univerzitetni študij;interdisciplinarni študij;diplomske naloge;

Data

Language:	Slovenian
Year of publishing:	2014
Typology:	2.11 - Undergraduate Thesis
Organization:	UL FRI - Faculty of Computer and Information Science
Publisher:	[J. Češarek]
UDC:	004:530.191(043.2)
COBISS:	10794324
Views:	1064
Downloads:	288
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Imaginary cube
Secondary abstract:	I present polyhedra which have square projections in three orthogonal directions. Because of this property, we call them Imaginary Cubes. Additionally, this work also demonstrates how Latin Squares can be used to generate new Imaginary Cubes and when repeating the application of Latin Squares infinitely, fractals. I describe the Ray Tracing method and the POV-Ray framework that was used to create images and animations of Imaginary Cubes.
Secondary keywords:	imaginary cube;latin square;fractal;ray;tracing;POV-Ray;computer science;computer and information science;computer science and mathematics;interdisciplinary studies;diploma;
File type:	application/pdf
Type (COBISS):	Bachelor thesis/paper
Study programme:	1000407
Thesis comment:	Univerza v Ljubljani, Fak. za računalništvo in informatiko
Pages:	35 str.
ID:	8739362