Leonardo da Vinci, a Renaissance polymath, integrated mathematical ratios and proportions into his artistic creations, including the 'Golden Ratio' or 'Divine Proportion', to achieve balance and harmony.

The Impressionists, led by artists like Claude Monet and Pierre-Auguste Renoir, were influenced by scientific advancements in color theory, particularly the work of Michel Eugène Chevreul on the interaction of colors.

The invention of the camera in the 19th century had a profound impact on art, enabling artists to capture fleeting moments, explore new perspectives, and experiment with different styles.

Piet Mondrian, a pioneer of abstract art, employed the 'Golden Ratio' to create harmonious compositions characterized by geometric shapes and primary colors.

The surrealists, including Salvador Dalí and René Magritte, drew inspiration from the emerging field of psychology, particularly the exploration of dreams, the subconscious, and the irrational.

Wassily Kandinsky, a pioneer of abstract art, utilized Hermann von Helmholtz's Color Theory to explore the psychological effects of colors and their ability to evoke emotions.

The understanding of the electromagnetic spectrum and the properties of light enabled the development of color photography, allowing artists to capture and reproduce the full range of colors in the natural world.

Kinetic art, characterized by moving or changing elements, was influenced by the field of cybernetics, which explores the relationship between information, control, and feedback systems.

Jackson Pollock's 'drip paintings' exhibited fractal patterns, characterized by self-similarity and intricate structures at different scales, reflecting his interest in fractal geometry.

The bio-art movement, which explores the intersection of art and biotechnology, was influenced by advances in molecular biology, enabling artists to work with living organisms and genetic material.

M.C. Escher's optical illusions often employed non-Euclidean geometry, challenging our perception of space and reality.

Generative art, which involves the use of algorithms and computer systems to create art, was influenced by advancements in computer science and the development of powerful computational tools.

James Turrell's light installations often explored concepts related to quantum optics, such as the wave-particle duality of light and the behavior of photons.

Sound art, which explores the use of sound as an artistic medium, was influenced by advancements in acoustics and the study of sound waves.

Yayoi Kusama's immersive installations often incorporated fractal patterns, creating intricate and mesmerizing environments that explore concepts of infinity and self-similarity.