Uploaded July 2026 | Updated September 2026, 2 weeks ago

---

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: 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:

youtu.be/qkEIRv4u1GY

You can also find more information in this textbook for the course is the open-source textbook by Oscar Levin:
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