Andrej Blejec has a very nice R demo of Galton's quincunx (link1, link2). It is a bit tedious to copy the code from PDF to R console, but it is worth the effort as the demo simulation clearly shows the nature of quincunx. After a bit of search I also found a similar function quincunx in the animation R package by Yihui Xi.
Image source: Wolfram MathWorld
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