How does the Icosahedron Calculator work?

Volume = (5 × (3 + √5) / 12) × a³ where a = edge length Then: Surface area = 5 × √3 × a² Then: Circumradius = a × φ × √(φ) / 2 where φ = golden ratio (1.618...) Then: Has 20 equilateral triangle faces, 12 vertices.

Can you give an example of how to use the Icosahedron Calculator?

Example: Input edge=3 gives a result of Vol 131.59.

Is the Icosahedron Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Icosahedron Calculator?

Our Icosahedron Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Icosahedron Calculator

Icosahedron

Edge length (a)

Calculates regular icosahedron volume, surface area, and properties from edge length.

Symbol	Name	Unit	Description
a	golden ratio (1	—	golden ratio (1

Difficulty:advanced

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Did You Know?

Virus capsids often icosahedral; structure provides maximum volume per surface area.

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