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

Description: 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: These signals were generated using a rigorous deterministic IFS construction based on the functional equation h(u_i(x)) = d_i h(x) + q_i(x). The fractal function was synthesized using an arc-length parametrization of the domain, mapping the traversal of the Koch curve to a linear time axis while preserving the self-affine scaling structure of the amplitude. Files included: rigorous_harmonic_d0.25.wav: Represents the harmonic regime (|d|=1/4). Smooth, decaying amplitude. rigorous_critical_d0.50.wav: Represents the critical regime (|d|=1/2). Exhibits 1/f-like spectral distribution. rigorous_supracritical_d0.70.wav: Represents the supra-critical regime (|d|=0.7). Divergent, noise-like texture. song.py: The Python script used to solve the affine parameters and generate the signals.