Square Spiral - Iterative Rotation and Scaling Construction

① This example demonstrates how to generate a square spiral pattern by repeatedly rotating and scaling a square, showing the iterative effect of geometric transformations. ② Core mathematical concepts include squares, rhombi, angles, vectors in 2D, and conditional probability (possibly used to control iteration or coloring), along with transformations such as polygon construction, midpoint, dilation (scaling), and rotation. ③ Construction highlights: Based on the construction summary, the GeoGebra commands used are Polygon, Midpoint, Dilate, Angle, and Rotate. Multiple squares (poly1, poly1', poly1'', etc.) and their vertices (A, B, C, D, E, F, G) are created, along with several angles (α, β, γ, δ, ε, ζ, η, θ) and vectors (q1, q2, q3 and their variants), forming the spiral through iterative rotation and scaling. ④ Suitable for upper secondary or early university students to understand geometric transformations, iteration, and dynamic geometry construction in GeoGebra, also useful for mathematical art or exploratory learning.