I am looking for mathematical games for an undergraduate `maths club' for interested students. I am thinking of things like topological tic-tac-toe and singularity chess. I have some funding for this so it would be nice if some of these games were available to purchase, although I am open to making the equipment myself if necessary.
So the question is: what are some more examples of games that should be of interest to undergraduates in maths?
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Ticket to Ride is a very easy game to learn and can lead to some interesting discussions of graph theory. On a more bitter note, a game of Settlers of Catan never fails to provide a wonderful example of the difference between theoretical and empirical probability.
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There's a few mathematical/logical games that the WFF 'N Proof people have out there. I won't link to Equations, because I think that game least likely to come as interesting for undergraduates (but maybe I'm wrong).
I've only played WFF 'N Proof. But, I will say that it teaches you propositional calculus and helps you to construct your own logical systems.
They have a game called On Sets which helps you learn set theory.
A Real Numbers game... which I don't think teaches you about Cauchy sequences or Dedekind cuts, but probably still has value to it.
A game called Configurations which has a sequence of geometric puzzles based on a book about Projective Geometry called The Geometry of Incidence which you can find on their website or on Amazon or possibly in your library.
They also have a solitaire topological game/puzzle called QWIK-SANE.
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Group twenty questions. Depending on the allowable class of groups the difficulty can be scaled.
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Ergo is essentially "propositional logic: the card game", and isn't terribly fun if everyone's played before, but it's cute and mathematical.
The rules are at http://catalystgamelabs.com/pdfs/Ergo_Rules_LO.pdf
Perhaps Hex/Nash? I've seen some quite elaborate boards, although they are often (always?) hand-crafted. The link to math would be Nash's non-constructive proof, Nash's life and work, and maybe analysis of connection games in general.