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Journal for Geometry and Graphics 19 (2015), No. 1, 001--011
Copyright Heldermann Verlag 2015

Visualization of Fractals Based on Regular Convex Polychora

Andrzej Katunin
Institute of Fundamentals of Machinery Design, Silesian University of Technology, Konarskiego 18A, 44-100 Gliwice, Poland

The paper deals with methods of visualizing deterministic fractals based on regular convex polychora in the four-dimensional (4D) Euclidean space. A survey of different approaches used in the visualization of 4D graphics is presented on examples of fractals using various techniques. The problem of information losses during the projection process from 4D to 3D is analyzed and discussed. It is concluded that there is no single strict rule for the visualization of 4D fractals; the type of projection should be chosen depending on unique geometric characteristics of the given 4D fractal.

Keywords: Deterministic fractals, four-dimensional geometry, regular convex polychora, projection of higher-dimensional data.

MSC: 51N05; 51M20, 28A80

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