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How many edges meet at a vertex?

Published in Geometry 1 min read

At least three edges meet at a vertex (or corner) in a 3D shape.

A vertex is a point where edges of a shape intersect. In three-dimensional geometry, a vertex is typically formed where three or more faces, and therefore edges, meet. This is because two edges alone would just form a line segment and not a distinct corner.

For example:

  • Cube: Each vertex has three edges meeting.
  • Tetrahedron: Each vertex has three edges meeting.
  • Pyramid (square base): The apex has four edges meeting, while vertices on the base have three edges meeting.

Therefore, the minimum number of edges that meet at a vertex is three.

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