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Tagged with hamiltonian-graphs recreational-mathematics
4 questions
19
votes
1
answer
1k
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Knight's tours in higher dimensions
I wonder if Knight's Tours have been explored in higher dimensions,
using the following definition of a knight move.
In dimension $d=2$, the knight moves left/right and forward/back
one step and two ...
- 151k
7
votes
3
answers
2k
views
"Gray code" for building teams
Motivation. In a team of $n$ people, we had the task to build subteams of a fixed size $k<n$ such that every day, $1$ person of the subteam is replaced by another person in the team, but not in the ...
- 48.9k
6
votes
2
answers
304
views
Hamiltonian path in bike-lock graph with $1$ known digit
Motivation. My youngest son has a bike lock with dials, and he forgot the unlocking combination completely, except that he remembered that digit $0$ appeared somewhere in the combination. So it was my ...
- 48.9k
2
votes
1
answer
177
views
Inspired by a card game: finding a path through $[\mathbb{N}]^n$
Motivation. Today my sons played a card game, in which a fixed number $n$ of cards was lying on the table. A move consists of adding an unused card to the cards on the table, and removing a card from ...
- 48.9k