Biomatic Attractors: The Geometry of Molecular State Spaces

Physical Manifestations of Molecular State Spaces — Biological Attractors Made Visible

These images explore the remarkable geometric and biomorphic structures that emerge from mathematical simulations of rotating carbon chains. Each original structure is generated by a specific sequence of bond rotations, producing intricate three-dimensional patterns that often resemble faces, anatomical features, and other forms found in nature. Selected structures are then transformed into visionary biomorphic artwork while seeking to preserve their underlying geometry. The simulations permit unrestricted bond rotations and intersections that would not necessarily be physically possible in living molecules. They therefore represent mathematical possibilities rather than actual biological structures. Together, these images illustrate a central idea of Biomatics: that relatively simple molecular state-space rules can generate extraordinary geometric complexity, symmetry, and biological resemblance—raising intriguing questions about the mathematical foundations of biological form.

The structures below (original followed by AI enhanced) have the same programs differing in the last 3 elements...labeled X,Y, and Z

0.001,0,0.001,2,3,0,1,2,0,3,2,0,2,1,0,2,3,0,2,1,0,3,2,0,3,2,0,1,0.001,X,Y,Z