Euler Characteristic Calculator
Compute the Euler Characteristic (V - E + F) for polyhedra and topological surfaces. Essential tool for geometry and topology students.
Euler Characteristic
Solve for V, E, or F using V - E + F = χ
Common Polyhedra
Euler Summary
Characteristic (χ)
2
Convex Polyhedron
Verification Logic
1
Formula Definition
V - E + F = χ
2
Substitute Values
8 - 12 + 6 = χ
3
Final Computation
-4 + 6 = 2
How to Use Euler Characteristic Calculator in 3 Easy Steps
1
Step 1
Enter Vertex count.
2
Step 2
Enter Edge count.
3
Step 3
Enter Face count.
Frequently Asked Questions
A cube has 8 vertices, 12 edges, and 6 faces. 8 - 12 + 6 = 2.