[Plimsoll]

The game looks good, but it makes me wonder are there any clear gameplay advantages/specialties that come from non-euclidean game "board". I mean, as long as the game forms a manifold it is locally euclidean and if we think games like snake where the very euclidean looking board loops around it still has (non-euclidean) geometry of torus.

[zenorogue]

There is a post on the blog discussing how the hyperbolic geometry affects the map generation and gameplay: http://zenorogue.blogspot.com/2012/03/hyperbolic-geometry-in... It is not up-to-date with some of the newest features, such as the Camelot quest, where you have to find the center of a circle of radius 28, and since such a circle has 31659398 cells inside, this is not trivial.

There is also an Euclidean mode, where you can see for yourself the things which do not work.

[personjerry]

In my experience, if you walk away from a location and return, it may be a different location -- that seems to be as far as it affects gameplay.

[CydeWeys]

Read the linked article. It further expounds on the effects on gamepla.