Geometric Construction of a Temari Ball 1

This example demonstrates the mathematical and geometric construction of a Temari ball (Japanese thread ball), showing how complex and symmetric spherical decorative patterns can be generated through mathematical rules. The core mathematical concepts involved include spheres and circles in solid geometry, intersections and mirror reflections in coordinate geometry, the Pythagorean theorem, and stochastic processes/random variables used to simulate the random distribution of points on the sphere. In terms of construction, the `Sphere` command is used to build the base spherical surface, while `Circle` and `Intersect` commands define the intersection curves. The `Sequence` command generates sequences of points and lines, and the `Mirror` command creates symmetric reflections. Key objects include parameters $r, m, n$ for controlling divisions and radius, lists like `liste1` and `liste3` for storing geometric elements, and image objects for visual rendering. This example is suitable for high school or university students studying solid geometry, coordinate geometry, and GeoGebra-based geometric constructions, serving as a vivid teaching case at the intersection of mathematics and traditional crafts.