We devise a simple visual method to determine whether a Tower of Hanoi configuration is a part of the optimal puzzle solution. The proof, sketched here, uses both mathematical induction and counting ...

The Tower of Hanoi problem consists of moving a tower of 64 disks, each smaller than the one below it, originally existing on one peg, to a second peg, using a third peg for intermediate moves.

The Tower of Hanoi is a classic puzzle. Yet a cognitive analysis revealed decision requirements that had previously been unknown—showing the power of the cognitive dimension.

The problems researchers used to evaluate the reasoning models, which they call LRMs or Large Reasoning Models, are classic logic puzzles like the Tower of Hanoi.

The Tower of Hanoi consists of a small board on which three identical cylindrical rods are mounted. On the left rod there are five disks of different sizes with a hole in the middle.