Icosahedron Net Generator

Unfold a D20 into 20 equilateral triangles — printable, with exact dimensions

An icosahedron net unfolds the 20 equilateral triangle faces into a flat pattern. This calculator draws the complete net with fold lines, dimension labels, volume, and surface area.

The regular icosahedron has 20 faces, 12 vertices, and 30 edges — the most faces of any Platonic solid. It's the shape of the famous D20 die used in Dungeons & Dragons and other tabletop RPGs.

Every net is printable — use the share/export button to save, then print and fold into a real icosahedron or D20.

Related Topics

3D Shape Net GeneratorDodecahedron Net (D12)Octahedron Net (D8)

Suggested Lessons

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What is an icosahedron net?
An icosahedron net is a flat pattern of 20 equilateral triangles that folds into a regular icosahedron. The layout shown has a band of 10 triangles with 5 caps on top and 5 on bottom.
How do I make a D20 die from this net?
Print the net at your desired size, number the 20 faces (1–20), cut along the outer edges, add small glue tabs along fold lines, then fold and glue. For balance, use cardstock of uniform thickness.
What is the volume of an icosahedron?
For edge length a, the volume is V = (5(3+√5)/12)a³, approximately 2.1817a³. The golden ratio φ = (1+√5)/2 appears throughout icosahedron geometry.
What is the surface area of an icosahedron?
The total surface area is SA = 5√3·a², approximately 8.6603a². Each of the 20 equilateral triangles has area (√3/4)a².
What can it graph?
It can plot explicit, implicit, and parametric functions, add points and geometry, and animate sliders on the same graph.
Can I use voice or a photo?
Yes. You can talk to the tutor, upload a worksheet or handwritten problem, and let the graph update from that input.
Will it explain the steps?
Yes. The AI explains what it is drawing and why, so you see the answer on the graph instead of getting only a final number.