Greedy Pollen Collection: 3D Vectors, Angles, and Optimization

This GeoGebra example visualizes a “pollen collection” scenario to demonstrate that, under the model’s rules, a greedy strategy can lead to an optimal or improved outcome. It centers on core ideas from optimization: representing decisions as contributions computed from 3D vectors, using angle measures to quantify direction/cost, and comparing objectives such as maximum collected pollen (maxPollen) versus number of flights (numFlights / maxFlights). The construction uses GeoGebra objects like pollenFlower1–pollenFlower6 and totalPollen to accumulate results, maxPollen and maxFlights to track best values, results/N/O to display outcomes, and Text-based instruction/result labels (instructions, text1–text5) for guided learning. Interactive flow is supported with objects including collect and Reset, while labeled points and variables (A–D, E–L, flower1–flower6) provide the mapping from candidate targets to computed vector/angle-based decisions. Suitable for classroom demonstrations and learning materials on greedy optimization, vector modeling, and visualization of angle-based metrics.