Geometric Construction of Babylonian Multiplication

This example demonstrates Babylonian multiplication using a geometry-based visualization of repeated doubling and selective addition, turning the algorithmic idea into measurable geometric relationships (such as constructed lengths or additive regions). It centers on core concepts including the geometric interpretation of multiplication, iterative integer decompositions (a doubling-and-accumulation scheme akin to binary methods), and careful geometric construction to encode the computation. Construction uses GeoGebra commands reflected in the provided construct summary: Intersect to determine key intersection points; Point to define all intermediate and final vertices (e.g., A, B, C and derived points); Ray to set directions for steps; Circle to provide auxiliary constructions and scale correspondences; Mirror to exploit symmetry for aligned segments/regions; Polygon to form closed pieces whose accumulated contribution represents the product; Line and OrthogonalLine to build supporting straight lines and perpendiculars for proportional/projective relations; and Segment for explicit length tracks. The included geometric objects (poly1, poly2, poly3, and many labeled points such as A', p, q, etc.) indicate a stepwise assembly of additive components leading to the final multiplication result. Suitable for late secondary education through early undergraduate geometry/algebra instruction, as well as math-history and computational thinking demonstrations.