C60 Buckminsterfullerene Schlegel Diagram

⚽ C60 Schlegel Diagram

A Schlegel diagram is the standard way to draw a 3D polyhedron's real vertex/edge/face graph in 2D: project the sphere onto a plane from a point on one face, so that face becomes the outer boundary and the opposite face lands at the centre. No topology is lost — 60 atoms, 90 bonds, 12 pentagons, 20 hexagons, exactly as in the 3D model.

🎛️ Faces

Highlight 12 pentagons Highlight 20 hexagons

🧭 View

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Drag the canvas to pan. Click any vertex to see its 3 real sp² bonds.

📊 Live stats

Vertices

Bonds

Pentagons

Hexagons

Click a vertex on the diagram to inspect its bonds.

ℹ️ Construction

Built by truncating an icosahedron's 30 edges at their one-third points (same construction as the 3D model), then projecting every point stereographically from one hexagonal face onto the plane. Short (hh) bonds join two hexagons (double-bond character); long (ph) bonds join a pentagon to a hexagon (single-bond character) — no two pentagons ever touch, the isolated-pentagon rule real C60 obeys.

C60 Schlegel net · 60 vertices · 90 bonds

12 pentagons · 20 hexagons · Iₕ topology preserved