The Intrinsic Metric on the Box Fractal
| Autor: | Bünyamin Demir, Yunus Özdemir, Mustafa Saltan |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
Code (set theory) 010102 general mathematics MathematicsofComputing_NUMERICALANALYSIS 01 natural sciences 010305 fluids & plasmas Intrinsic metric Algebra Set (abstract data type) Iterated function system Fractal 0103 physical sciences Attractor Pharmacology (medical) 0101 mathematics Mathematics |
| Zdroj: | Bulletin of the Iranian Mathematical Society. 45:1269-1281 |
| ISSN: | 1735-8515 1017-060X |
| DOI: | 10.1007/s41980-018-00197-w |
| Popis: | The box fractal is one of the typical examples of the self-similar sets obtained as the attractor of an iterated function system. In the literature, there is no work giving the intrinsic metric defined by using the code set of the box fractal. In this paper, we obtain an explicit formula for the intrinsic metric on the box fractal via the code representations of the points. |
| Databáze: | OpenAIRE |
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