An anonymous reader writes "Many people reading this site probably have a functional understanding of how algorithms work. But whether you know algorithms down to highly mathematical abstractions or simple as a fuzzy series of steps that transform input into output, it can be helpful to visualize what's going on under the hood. That's what Mike Bostock has done in a new article. He walks through algorithms for sampling, shuffling, and maze generation, using beautiful and fascinating visualizations to show how each algorithm works and how it differs from other options. He says, "I find watching algorithms endlessly fascinating, even mesmerizing. Particularly so when randomness is involved. ... Being able to see what your code is doing can boost productivity. Visualization does not supplant the need for tests, but tests are useful primarily for detecting failure and not explaining it. Visualization can also discover unexpected behavior in your implementation, even when the output looks correct. ...Even if you just want to learn for yourself, visualization can be a great way to gain deep understanding. Teaching is one of the most effective ways of learning, and implementing a visualization is like teaching yourself."
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