Supplementary Audio Data: Sonification of Critical Fractal Interpolation Functions on the Koch Curve

Read full text
Authors: Abdelkarim Dahmani, Kaoutar Lamrini Uahabi, Siham El Habib
Cited by: 0

Abstract

This dataset contains auditory sonifications of the Energy-Based Fractal Interpolation Functions (EB-FIF) defined on the Koch curve. These audio files serve as supplementary material for the research paper titled "Structural Uniqueness and the Box Dimension of some Critical Fractal Interpolation Functions on the Koch Curve". Methodology: Unlike stochastic noise simulations, these signals were generated using the exact deterministic zigzag construction described in the paper (Proposition 2.1). The fractal function values h(x) were mapped linearly to audio amplitude at a sampling rate of 44.1 kHz, traversing the domain parameter x at constant speed.

Fields of Study & Subjects

Mathematical Dynamics and Fractals advanced mathematical theories Mathematical Analysis and Transform Methods

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
9 February 2026
Language
EN