Home▸Geometry▸Euler's Formula: Planar Graph & Schlegel Diagram (2D)

🕸️ Euler's Formula: Planar Graph & Schlegel Diagram (2D)

Flatten eight polyhedra into true planar-graph (Schlegel) diagrams via Tutte's barycentric embedding and watch live V, E, F counts resolve to Euler's formula. A fundamental-polygon mode shows genus-g surfaces in genuinely two-dimensional form.

Geometry2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

⚙ Under the hood

Flatten eight polyhedra into true planar-graph (Schlegel) diagrams via Tutte's barycentric embedding, choose the outer face, drag to rotate the flat layout, and watch live vertex, edge and face counts resolve to V-E+F=2. A fundamental-polygon mode shows genus-g surfaces in genuinely two-dimensional form.

Canvas 2DEuler CharacteristicPlanar GraphsTopologySchlegel Diagram

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install