Mathematical Interpretation of Cinematic Aesthetics: Redefining Composition, Rhythm, and Narrative within Communication Sciences

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Çiçek E.

International Journal of Applied Mathematics, cilt.38, sa.10, ss.429-473, 2025 (Scopus)

Özet

MATHEMATICAL INTERPRETATION OF CINEMATIC AESTHETICS: REDEFINING COMPOSITION, RHYTHM, AND NARRATIVE WITHIN COMMUNICATION SCIENCES

Assistant Prof. Dr. Erkan Çiçek

Faculty of Art and Design, Art Department

Photography and Video Program

Davutpasa Campus / Yıldız Technical University/ ISTANBUL

https://orcid.org/0000-0002-3935-7117

ercicek@yildiz.edu.tr

Abstract

The traditional subjectivity in cinematic photography aesthetic analysis is impeded by a lack of objective and systematic approaches for analysis. The current study mathematically translates and interprets the essence of cinema’s three pillars: composition, narrative structure, and rhythm within the domain of communication sciences. The study uses a combination of theoretical approaches in cinematic aesthetics and quantitative approaches like digital image processing, graph theory, and statistical analysis of shot lengths, and the theoretical foundations of cinematic aesthetics. The results illustrate that mathematical patterns like geometric distributions based on golden ratios in composition, different rhythmic cuts in dramatic scenes, and mathematical network patterns in traditional and contemporary narrative structures directly affect cinematic perception and meaning transfer. The significance and uniqueness of this proposed study are centered on building a connection between the qualitative approaches in film studies and the quantitative approaches in data science to provide a fresh paradigm for visual communications.

Keywords: Cinematic Aesthetics, Data Analysis in Cinema, Film Rhythm, Graph Theory, Image Processing in Film Studies, Mathematical Composition, Photography, Visual Communication Sciences