Random Symmetry in AI Art

By H. Peter Alesso and Valerie Gonzales

When we command artificial intelligence to "create random abstract art," something peculiar happens.

The machine, with its vast computational power and freedom from human muscle memory or cognitive biases, should theoretically achieve what humans cannot-true randomness. Instead, it produces something even more paradoxical: random symmetry, patterns that emerge from chaos, order that materializes from intentional disorder.

This book explores the profound implications of this paradox. Through an investigation of how AI systems generate visual art, we discover that multiple layers of hidden order constrain machine creativity: the deterministic nature of algorithms, the mathematical foundations of neural networks, the human-patterned datasets used for training, and perhaps most surprisingly, the emergence of spontaneous symmetries in complex systems.

The investigation reveals that AI art doesn't transcend human limitations but amplifies and makes visible the deep mathematical structures underlying all attempts at randomness. When artificial intelligence tries to paint chaos, it inadvertently creates a mirror that reflects the hidden order in its own architecture-and by extension, in the human minds that designed it.
Drawing on computer science, mathematics, neuroscience, and art theory, this work demonstrates how the impossibility of true randomness in AI art highlights fundamental questions about creativity, consciousness, and the nature of beauty itself. Case studies of leading AI art systems-from early algorithmic art to contemporary diffusion models-reveal consistent patterns: the more sophisticated the system, the more complex its symmetries become, but symmetries persist, nonetheless.

The book argues that this "failure" to achieve randomness is actually AI art's most interesting feature. The random symmetries that emerge-unplanned, unintended, yet undeniable-may represent a new form of beauty unique to machine creativity, one that exists in the liminal space between human intention and computational process.

• Format: Paperback
• Language: English
• ISBN: B0FS27YRNZ
• ISBN13: 9798266525795
• Release Date: September 2025
• Publisher: Independently published
• Length: 207 Pages
• Weight: 0.49 lbs.
• Dimensions: 8.0" x 0.5" x 5.3"