Maes Pyramids: Integer Sides and Tangent Lines in Solid Geometry

This example demonstrates a composite pyramid structure with a quadrilateral base and two apexes (F and G), featuring integer side lengths, tangent lines, congruent segments, and quadratic function relationships. Core mathematical concepts include solid geometry of pyramids, plane intersections with pyramids, segment congruence, integer constraints, and geometric properties linked via tangents or quadratic functions. Construction highlights: using GeoGebra commands Polygon to create base poly1, Midpoint for midpoints, OrthogonalLine for perpendiculars, Point to place points on lines, Pyramid to generate pyramids, Plane to define sections, and PointIn for interior points; objects include vertices A, B, C, D, E, F, G, faces like faceABF, edges like edgeAF, and auxiliary lines b, c and point G. Suitable for high school or early college students exploring combined solid geometry and algebraic functions, as well as for mathematical modeling or dynamic geometry demonstrations.