Orthocenter with Hyperbola and Fractal Geometry Exploration

①This GeoGebra example demonstrates the construction of a triangle's orthocenter while integrating hyperbola, fractal geometry, a cube, and a general quadrilateral into a unified visual exploration. ②Core mathematical concepts include the orthocenter (intersection of altitudes), orthogonal lines, intersections, segments, angles, and the visualization of hyperbolas and fractal patterns. ③Construction details: using Polygon to create triangle poly1, OrthogonalLine to draw altitudes c, a, b, Intersect to find points D, E, F, Segment to connect relevant points, Angle to mark α, β, γ, and text1 to annotate the orthocenter property. ④Suitable for high school and above, this serves as an interactive tool for studying geometric constructions, dynamic orthocenter properties, and cross-disciplinary connections to hyperbolas and fractal geometry.