Skip navigation
Skip navigation

The Open Set Condition and Neighbor Maps in Fractal Geometry

Steemson, Kyle

Description

Neighbor maps are a new development in fractal geometry that can be used to determine if an iterated function system (IFS) obeys the open set condition (OSC). Neighbor maps also describe the topology of the fractal attractor. In this thesis, the de nition of the set of proper neighbor maps is generalised to any IFS comprising contractive similitudes. It is proven, an IFS of similitudes obeys the OSC if and only if the identity map is not in the closure of the set of proper neighbor maps. The...[Show more]

CollectionsOpen Access Theses
Date published: 2018
Type: Thesis (Honours)
URI: http://hdl.handle.net/1885/173628
DOI: 10.25911/5d9efb64d0ac2

Download

File Description SizeFormat Image
Kyle_Steemson.pdf3.17 MBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator