Hyperbolic space allows more volume to fit in the same 'space' than you'd expect. This allows you to explore enormous areas while taking very little time to walk anywhere. Building a mental map of your surroundings becomes impossible. Straight lines don't stay parallel. Traversing the map can result in unexpected rotations. And many more strange consequences that make you question reality. You'll also explore spherical space, which has opposite effects. For example, a reverse-perspective: Objects appear larger the farther away they are.
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