# name
Iteration of holomorphic functions and visualisation of fractals

# metadata.dc.description[].value
Treballs Finals de Grau d'Enginyeria Informàtica, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Núria Fagella Rabionet Anna Puig Puig

# metadata.dc.description.abstract[].value
[en] When a holomorphic function is iterated, it generates a dynamical system on the complex plane. In this project we describe both the local and global theory of the different orbits of holomorphic functions, focusing on the polynomial families. We present the necessary results leading to two algorithms to draw both Julia sets and Mandelbrot (and Multibrot) set: the Escape Algorithm and Henriksen Algortihm. In addition, we present the development of an interactive application, made with Unity, that allows us to visualise fractals on the complex
plane -rendered using the aforementioned algorithms- and a generalisation of them over a 3-dimensional space, directly on a website.

# metadata.dc.rights[].value
memòria: cc-nc-nd (c) Adrià Torralba Agell, 2020

# metadata.dc.rights[].value
codi: GPL (c) Adrià Torralba Agell, 2020

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Enginyeria Informàtica

# metadata.dc.title[].value
Iteration of holomorphic functions and visualisation of fractals