Dynamic Cone and Orthocenter Demonstration

This example dynamically demonstrates the generation of a cone and the variation of its orthocenter. It involves core mathematical concepts such as solid geometry, orthocenter, differential calculus, parabola, prism, and cuboid. The construction utilizes GeoGebra commands like Random, If, Mod, along with objects such as button1, n, a1, b1, c1, a2, b2, c2, k, a, b, c, list1, d, text4, text5, text3, text1, e, text6, f, g, text7, text8, text9, text10, h, A_1, B_1, C_1, text12, text13, text14, text15, text16, o, r, text17, text18, s for parameterized control and dynamic visualization. It is suitable for high school and above, particularly for teaching solid geometry and differential calculus.