What Is the Definition of Vertex in Geometry

What Is the Definition of Vertex in Geometry

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Every shape you’ve ever drawn has vertices. A square has four, a triangle has three, and a circle—get this—has zero. Zilch. Nada. A circle is basically the universe’s way of saying, “I refuse to have corners.” It’s the shape that never gets its act together enough to form a vertex.

But wait—there’s a surprise twist. In 3D shapes, vertices get even wilder. A cube has eight vertices, which is the same number of corners in a cardboard box. (Yes, that’s a fact. No, you never needed it. Yes, you’ll now see boxes differently.) A pyramid? Five vertices—four at the base, one at the top, like a very pointy family reunion.

The Vertex That Broke the Rules: The Pentagon’s Secret

Here’s a surprising fact to drop at your next awkward dinner party: the Pentagon building in Washington D.C. has five vertices. But the actual pentagon shape? It has five vertices and five sides. Simple, right? Until you realize that if you draw a star inside a pentagon, you create ten hidden vertices. It’s like math’s version of a secret handshake.

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And if you think that’s weird, consider this: a Möbius strip has only one edge and one side—but it still has vertices. Just kidding, it doesn’t. It’s the rebel of geometry, the punk rock of shapes. Vertices hate it.

高橋 健太
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高橋 健太

Webメディアでの編集・執筆歴10年。読者の好奇心を刺激するストーリー作りを心がけています。