Visualizing Bin Packing Algorithms

This GeoGebra example visualizes the Bin Packing problem by demonstrating how a set of items (with weights) can be packed into multiple bins under capacity constraints, so that the number of bins used and/or packing efficiency can be compared across strategies. It highlights optimization concepts such as capacity-limited placement, iterative assignment, and organizing a weight set into bins, all shown through geometry-based representations of bins and loaded regions. Construction-wise, it uses Sequence, PolyLine, Textfield, and Mod to generate the weight/iteration sequence, draw boundaries/lines, label key quantities, and implement cyclic indexing for distribution. Objects such as wtMax, wtMin, MaxWeights, T1–T20, numWeights, binW, binH, binCap, binSep, MaxBins, and numBins define the item weight ranges, bin geometry, and capacity/bin counts, while Quads (and related labeled geometry variables) render each bin and its contents. Suitable for high school to early university use in optimization, discrete math, and algorithm visualization.