Optical Illusion: Sequence and Transformation of Circles and Lines

This GeoGebra applet demonstrates an optical illusion through geometric construction and sequence transformations. Using commands such as Circle, Sequence, and Translate, it dynamically generates a series of translated circles and line segments based on parametric curves and exponential functions. The model visually illustrates how sequence patterns and series can be arranged within plane geometry, revealing the optical effects produced by specific geometric configurations. Through interactive manipulation, students can explore how mathematical sequences translate into visual phenomena, deepening their understanding of both analytic geometry and geometric transformations. The applet combines algebraic reasoning with visual intuition, making it a valuable tool for探究学习 in解析几何 and图形变换. Learners can observe how recursive generation of shapes leads to unexpected perceptual effects, bridging the gap between abstract mathematical concepts and concrete visual experiences.