🔷 Visual Proof of Euler's Formula 🔷

V - E + F = χ

Explore 3D polyhedra with interactive spherical projection

Vertices (V)

Points

Edges (E)

Lines

Faces (F)

Surfaces

χ (Chi)

V - E + F

Select a polyhedron to begin

🎮 Interactive Controls

Select Polyhedron

View Mode

Auto-Rotation

Scale: 1.0

Vertices

Edges

Faces

💡 Interaction: Drag to rotate • Scroll to zoom • Click elements to highlight

🔍 Concept: Every convex polyhedron can be projected onto a sphere. The formula V - E + F = 2 is invariant under this projection.

1. Select

2. Count V

3. Count E

4. Count F

5. Calculate χ

Step 1: Select a polyhedron and observe its 3D structure.