The Sankar Swastiken Fractal: A Novel Self-Similar Geometric Construction

Research Description: The Sankar Swastiken Fractal This paper introduces the Sankar Swastiken Fractal, a novel self-similar geometric construction inspired by the ancient swastika motif found across multiple civilizations. The fractal features a unique four-directional branching system with measurable Hausdorff dimension and demonstrates how ancient geometric symbols can inspire rigorous modern mathematical constructions, bridging cultural heritage with contemporary fractal theory.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-02
DOI
https://doi.org/10.5281/zenodo.16943974
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

The Sankar Swastiken Fractal: A Novel Self-Similar Geometric Construction

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

The Sankar Swastiken Fractal: A Novel Self-Similar Geometric Construction

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Abstract

Research Description: The Sankar Swastiken Fractal This paper introduces the Sankar Swastiken Fractal, a novel self-similar geometric construction inspired by the ancient swastika motif found across multiple civilizations. The fractal features a unique four-directional branching system with measurable Hausdorff dimension and demonstrates how ancient geometric symbols can inspire rigorous modern mathematical constructions, bridging cultural heritage with contemporary fractal theory.

Zenodo (CERN European Organization for Nuclear Research)
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Openalex Percentile: Top 67%
Geochemistry and Geologic Mapping
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The Sankar Swastiken Fractal: A Novel Self-Similar Geometric Construction · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS