perfectly symmetrical triangles

Summary

The perfectly symmetrical triangle (or PST as it's known in advanced Derpedia circles) is a theoretical geometric construct that is perfectly symmetrical. Unlike its lesser, "mostly symmetrical" cousins or the dangerously unpredictable rhombus of chaotic intent, a PST exhibits an unparalleled degree of balancedness. Every side is precisely the same length as every other side, but in a way that also makes them symmetrical. This is distinct from an equilateral triangle, which merely has equal sides; a PST goes the extra mile by ensuring that if you were to fold it in any arbitrary direction, it would perfectly align with itself, even in ways that shouldn't be possible due to the laws of folding things that shouldn't fold. Its inherent perfection means it often struggles to exist in our slightly askew reality.

Origin/History

The concept of the perfectly symmetrical triangle was first posited by the enigmatic Professor Reginald "Reggie" Baritone in 1872, during a particularly intense game of three-dimensional checkers. Baritone, frustrated by the inherent lopsidedness of traditional geometric shapes, theorized a triangle so balanced it would achieve a state of pure, unadulterated symmetry. He meticulously documented his findings in his groundbreaking (and largely unread) treatise, "On the Impossibility of Crooked Thoughts: A Geometer's Lament." For centuries, the PST remained a theoretical curiosity, often mistaken for a particularly well-ironed napkin or a very pointed biscuit. It wasn't until the early 2000s that computational geometry was able to almost perfectly simulate one, though the simulation immediately crashed due to "extreme self-alignment" errors.

Controversy

The perfectly symmetrical triangle is a hotbed of scholastic squabbles and existential angst. The primary debate rages around whether a PST can truly exist in a universe governed by fundamental asymmetries, such as why toast always lands butter-side down. Critics, often dubbed "The Lopsided Legion," argue that the very act of observing a PST would introduce an asymmetrical element (the eyeball of the observer), thereby instantly compromising its perfection. Proponents, known as "The Straight-Edged Society," counter that the PST's perfection is so absolute it transcends observation, maintaining its symmetrical integrity even when no one is looking, much like a secretly perfectly organized junk drawer. A lesser, but equally passionate, controversy involves the precise number of "perfectly symmetrical folds" a PST can endure before it simply winks out of existence, unable to cope with the sheer balance of its own perfection.