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Political Map of India from a Topologist's Perspective
To a topologist, two shapes are the same if one can be stretched, twisted, or distorted into another shape without breaking it or tearing it. Shape, angle, size, position can be totally different but the relative connections stay the same. Thus, a coffee mug and a donut are topologically identical.
So, if we tweak the Indian states in a way that their relative neighboring states relations don't break, this map will be topologically identical to the current political map of India. Meaning, the states in the political map and this map are connected to the same set of states even if their positions, shape, and size has changed.
Makes for an amazing gift to your nerdy friends or a personal souvenir about mixing geography and mathematics that acts as a great conversation starter.