This figure was generated using the Prime Geometry algorithm.

Starting from an initial position and tangent direction, each processed integer determines the orientation of the next circular arc according to a deterministic turning rule.

For this experiment, prime numbers and composite numbers produce different rotation angles (+-90°). The circular arcs are connected tangentially, forming one continuous geometric trajectory.

The visualization shown here corresponds to the first 9500000 processed integers.

The color gradient represents the chronological progression of the construction, beginning with dark blue and ending in dark red.

Red point
Starting point of the construction.

Blue point: Final position of the trajectory after all integers have been processed.

Yellow cross: Geometric centroid of the projected prime points. As new prime numbers are encountered and their corresponding points are added, the centroid shifts accordingly and gradually stabilizes as the construction grows.

This visualization is intended as a computational exploration of geometric representations generated from integer sequences. It does not claim a new theorem, a new primality test, or a mathematical proof concerning the distribution of prime numbers.