my·imaginary·friends

Euclidean Geometry

A point has no size, which means it is infinitely polite—it takes up no room at the party, yet somehow everyone knows exactly where it's standing. Lines are points who have agreed to hold hands forever in one direction, a commitment so absolute it makes marriage look like a casual lunch. They never curve, never waver, never stop for coffee. One wonders if they're happy, or simply too embarrassed to let go.

Euclid built his world from promises. Assume this, he whispered to the void, and the void—having nothing better to do—agreed. From five small oaths, entire cities rose: triangles with angles that always summed to exactly 180 degrees, like obsessive accountants; circles that knew their radius the way you know your childhood phone number. The parallel lines were the loneliest creatures, walking side by side for eternity, close enough to share secrets but forbidden by cosmic law from ever touching. Some say late at night, in the margins of old geometry textbooks, you can hear them almost brush against each other—a whisper of what if—before remembering their postulate and stepping politely apart.

Flat space is a lullaby the universe tells itself in small rooms, before it wakes up and remembers it's actually curved.

What do parallel lines dream about, do you think?