Skip to content
Sci
Fun
Lab
Explore. Discover. Learn.
Home
Explore
Learn
Community
Toggle menu
Donate
Toggle theme
Topology Lab
📋 Presets
🎯 Missions
⛶
Shape
Möbius
Klein
Torus
Sphere
Trefoil
Cube
Display
Wireframe
Trace Path
Zoom: 120
Euler Characteristic
χ = V - E + F = 2(1 - g)
Shape
V
E
F
χ
g
Tetrahedron
4
6
4
2
0
Cube
8
12
6
2
0
Octahedron
6
12
8
2
0
Dodecahedron
20
30
12
2
0
Icosahedron
12
30
20
2
0
Torus (poly)
16
32
16
0
1
Double Torus
32
64
32
-2
2
Surface Classification
Sphere
g=0, χ=2
Torus
g=1, χ=0
Double Torus
g=2, χ=-2
Möbius Strip
Non-orientable
Klein Bottle
Non-orientable