Mesh (geometry)

Mesh of a dodecahedron

The mesh (also: body mesh ) or the unfolding of a polyhedron or a geometric body is a diagram that shows its surfaces expanded in the plane after it has been cut open at some edges. Meshes are also used as a template for building body models, but also as an illustration when calculating the area of the surface of the body.

Convolutions can also be generalized to higher dimensions.

Examples

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  Mesh of a cuboid

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  Net of a tetrahedron

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  Mesh of a triangular prism

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  Network of a cylinder

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  Mesh of a cone

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  The network of an oloid is like its track when it rolls off

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  The three-dimensional network of a tesseract

There are exactly eleven ways to unfold a cube, see cube network .

Web links

• Eric W. Weisstein : Net . In: MathWorld (English).