Inflating Disk into Equiareal Sphere

This example demonstrates the continuous transformation of a disk into an equiareal sphere, maintaining equal surface area throughout the process. Key math concepts include equiareal deformation, spherical volume, circular area, integral calculus, and transformational geometry. GeoGebra commands and objects used in the construction include Intersect, Mirror, CircleArc, Rotate, Sequence, and Vector, highlighting the geometric and calculus principles involved. Suitable for high school and advanced learners exploring spatial geometry and integral applications.