TL;DR
This paper introduces a novel approach combining hypercomplex algebras with fractal interpolation to model phenomena with complex self-referential geometries requiring algebraic structures.
Contribution
It presents a new holistic methodology that merges hypercomplex algebras with fractal interpolation and approximation.
Findings
Developed a new framework for fractal interpolation using hypercomplex algebras
Enables modeling of phenomena with complex self-referential geometries
Provides a foundation for algebraically structured fractal analysis
Abstract
In this short note, we merge the areas of hypercomplex algebras with that of fractal interpolation and approximation. The outcome is a new holistic methodology that allows the modelling of phenomena exhibiting a complex self-referential geometry and which require for their description an underlying algebraic structure.
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