This visualization is part of the Prime Geometry project, which explores deterministic geometric representations of integer sequences.

Instead of plotting prime numbers on a number line, every processed integer contributes one circular arc to a continuous path.

The construction follows a simple deterministic rule:

• Prime number → rotate 90° counterclockwise
• Composite number → rotate 90° clockwise

Although the rule is extremely simple, it produces surprisingly rich geometric patterns as more integers are processed.

The animation shows the construction evolving one integer at a time, allowing the viewer to understand how the global structure emerges from local decisions.

Visualization guide

• Red point: starting position.
• Blue square: current endpoint of the construction.
• Black arcs: arcs generated by prime numbers.
• Gray arcs: arcs generated by composite numbers.
• Colored numbers represent the projected prime-number points generated by the algorithm.

This work is intended as an experimental computational visualization for exploring possible geometric structures arising from integer sequences. It does not claim a new theorem, a new primality test, or a proof concerning the distribution of prime numbers.