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    Fractal Geometry in Hospital Design: Enhancing Healing Environments Using Fractal Fluency
    (American Institute of Physics, 2025) Hasan, Saja; Uzun, Can; Sönmez, Elif
    This research explores the impact of fractal geometry on hospital design, with a focus on "fractal fluency." Fractals, defined as intricate self-replicating patterns, which are commonly found in both nature and art, have fascinated mathematicians, scientists, architects, and psychologists for generations. This study thus investigates how these fractal patterns, particularly those of moderate complexity, can influence human perceptions, well-being, and cognition, using a multidisciplinary approach that combines mathematics, neuroscience, and architecture to examine the integration of fractal fluency principles in hospital design. Through a detailed analysis of architectural elements such as the material, space, light, form, and perspective in hospitals including Jacobs Medical Center and Friendship Hospital, the study assesses the implementation of design principles based on such patterns and assesses their impact on the healing environment. The results show that the design of Friendship Hospital is in good alignment with fractal fluency principles, with all architectural elements falling within the specified range, suggesting the use of a deliberate design approach that can potentially create a visually engaging and stress-reducing environment. In contrast, Jacobs Medical Center does not align with fractal fluency principles, thus failing to realize the potential benefits of mid-range fractals as used in design. The impact on occupants of these varying approaches appears to be significant: Friendship Hospital's alignment with fractal fluency principles appears to contribute to enhanced comfort, positive psychological effects, and a sense of positive energy, while Jacobs Medical Center, while not necessarily having a negative environment, displays none of the advantages of intentional fractal fluency in design. This research thus emphasizes the importance of fractal fluency in hospital design based on its potential to create healing environments that promote physical and emotional well-being. Incorporating mid-range fractals can enhance patient experiences, reduce stress levels, and contribute to the development of positive energy in healthcare spaces. By combining mathematics, neuroscience, and architecture, this study also opens the way to the development of more innovative approaches in healthcare design that prioritize the language of fractals.