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Dergiler / International Electronic Journal of Geometry / 2025 / Volume: 18 Issue: 2

Construction of a Dynamical System on the Sierpinski Gasket $SG(3)$

Nisa Aslan(FEN FAKÜLTESİ)0000-0002-2103-0511
Mustafa Saltan(ESKİŞEHİR TEKNİK ÜNİVERSİTESİ)0000-0002-3252-3012
Sayfa
—
Yayın Tarihi
2025-10-19
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, we express a dynamical system on the mod-$3$ Sierpinski gasket with the help of the code representations of its points.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Classical Sierpinski gasket is one of the fundamental examples of self-similar sets.
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Temel Bulgular & Veri:This set is also named as mod-$2$ Sierpinski gasket.
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Sonuç & Katkı:Then, we express a dynamical system on the mod-$3$ Sierpinski gasket with the help of the code representations of its points.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mod-$3$ Sierpinski gasket · escape time algorithm · discrete dynamical system

Abstract

Classical Sierpinski gasket is one of the fundamental examples of self-similar sets. This set is also named as mod-$2$ Sierpinski gasket. In this study, we mention the mod-$3$ Sierpinski gasket and obtain this self-similar set by using the escape time algorithm with some special mappings. Then, we express a dynamical system on the mod-$3$ Sierpinski gasket with the help of the code representations of its points.

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Bu Makaleye Atıf Yap

Aslan, N., Saltan, M. (2025). Construction of a Dynamical System on the Sierpinski Gasket $SG(3)$. International Electronic Journal of Geometry, Volume: 18 Issue: 2. https://doi.org/10.36890/iejg.1689189

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Kaynakça (18)

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