Infinitely-long poles rest in mid-air.

Infinity is weird. Imagine an infinitely large, flat plane. Now imagine a pole of some height that holds up one end of another pole — one that stretches infinitely far.

Infinite plane and infinite pole

If you were to let this infinitely long pole fall against the the ground, it would rest at precisely 90 degrees. That’s because if it were angle at all towards the ground, there would be a point some ways down the infinite pole that it would hit the infinite plane. Of course, you would never be able to see where it’s resting because of infinity and all, so instead, it would appear to float in mid-air.

From Futility Closet.

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