Abstract
By choosing the contraction functions in the Iterated Function System we extend the construction from two-dimensional space to three-dimensional space to build self-similar sets in 3-space. We also extend the neighbor map concept to Iterated Function Systems with different contraction factors in order to identify examples with finite type. Some interesting examples of self-similar sets in three-dimensional space are given.
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Duy, M.T. (2014). Some Examples of Finite Type Fractals in Three-Dimensional Space. In: Bandt, C., Barnsley, M., Devaney, R., Falconer, K., Kannan, V., Kumar P.B., V. (eds) Fractals, Wavelets, and their Applications. Springer Proceedings in Mathematics & Statistics, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-08105-2_12
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DOI: https://doi.org/10.1007/978-3-319-08105-2_12
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