Why Triangles Don't Collapse

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.