The Magic of Three Points
Here's a fundamental truth from geometry:
Three points always define a single flat plane. Four or more points? They can be wobbly and non-planar.
What this means for structures:
- Triangle = only polygon that can't change shape without changing side lengths
- Square/rectangle = can deform while keeping same side lengths
- Pentagon/hexagon = even more unstable
This isn't magic or coincidence—it's pure mathematics.
Every strong structure in the world exploits this geometric fact.