Geometric Construction of the Prime Walk
This image illustrates the geometric construction used in the Prime Walk. Starting from a single point, consecutive quarter-circle arcs are connected tangentially to form one continuous path. For each processed integer, the local orientation is updated according to a deterministic turning rule. Prime numbers are then projected onto the local normal direction of each arc, producing a geometric representation of their positions within the evolving construction. Although the construction follows a simple rule, the resulting patterns become increasingly rich as more integers are processed. The image serves as a basic illustration of the geometric principle underlying the Prime Walk project and its experimental exploration of prime numbers through geometry.















































