Geometric Model of the Solar System Scale: Perimeter and Correlation

This example demonstrates a geometric scaling model for the solar system by mapping astronomical size/distance relationships into a coordinate-based construction. It lets learners visualize how scaling affects measurable quantities such as perimeter-like totals and how these quantities relate (correlation) across corresponding constructions. Key math ideas include proportional scaling, transformation-based geometry (e.g., rotation/translation producing parallel-side structures akin to parallelograms), perimeter as a derived measurement, and an optional bridge to calculus via integral concepts for accumulated quantities (e.g., sums/area/length accumulation in a scaled model). Construction focuses on a set of base points (A1, B1, C1) and multiple structured point families (A2–A9, B2–B9, C2–C9) along with auxiliary points (E7, E8, E9), which are then connected/transformed to build the scaled configuration and support the perimeter/correlation analysis. Suitable for upper secondary students and early pre-college use for geometry construction, mathematical modeling, and intuitive introduction to calculus concepts through a visual scaling context.