3D & visual mathematics · Official example · Pro remix

A Hole Changes the Counting Rule

Count vertices, edges and faces on a closed solid. Why does adding one hole change the answer? Euler characteristic records topology, not the particular triangulation. For a closed orientable surface,

Author

Ultromotion Studio

Published

October 5, 2026

Scenes

1 scene

Format

1080×1080 · 30 fps

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