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Curated by: Mathematical Visual Proofs (650 videos)
Nonattacking rooks on a rectangular chessboard This is a short, animated visualization of the 120 arrangements of 3 nonattacking rooks on a 6 x 3 chessboard/checkerboard. Can you see how to generalize to a formula for the number of k nonattacking rook arrangements on an n x k checkerboard? If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks This video is related to a series of lectures I have on the channel from a combinatorics/discrete mathematics course I have taught: https://youtu.be/qkEIRv4u1GY You can also find more information in this textbook for the course is the open-source textbook by Oscar Levin: http://discrete.openmathbooks.org/dmoi3.html #math #manim #combinatorics #counting #countingprinciples #sumprinciple #productprinciple #additionprinciple #multiplicationprinciple #combinatorialobjects #permutations #subsets #latticepaths #discretemathematics #rooks #chessboard #venndiagrams #nonattackingrooks To learn more about animating with manim, check out: https://manim.community