Shepard Effect: Music and Mathematics

Create a geometric demonstration of the Shepard effect on one plane by building a stack of similar shapes arranged as nested levels around a single central point. Start with a reference circle and mark several points on it at equal angular positions, fixing an angle relationship so the orientation is consistent across layers. Copy the same outline and apply similarity-based scaling step by step so each layer is a scaled version of the previous one while keeping identical shape and corresponding angle directions. Display all layers together using clearly distinguishable styling such as different transparency or line thickness to emphasize the smooth sense of continuous scaling from small to large.