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Q: A what is a two-dimentional pattern that can be folded into a folded three-dimentional polyhedron?

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Can be. It would be the net of the polyhedron.

Net

net

A net is an arrangement of polygons, joined edge-to-edge, that when folded up, form the surface of a polyhedron.

Yes, steel can be folded. This is a common practice in the production of "damascus" or pattern welded steel.

Any wire structure that is not flat. A piece of paper folded so it is not flat. If you don't like that, try a cylinder or a sphere or ellipsoid, or a brick with a rounded end, or any polyhedron where 1 or 2 faces are spherical bulges or are missing etc.

A projection. A net is the other way around: a 2-d pattern that can be folded into a 3-d shape.

A two-dimensional shape that can be folded into a three-dimensional figure is often called a net.

A net.

I don't know but you have bad grammer * * * * * It is a net.

Generally, fabric is used as purchased, folded in half with finished sides (selvages) together, and wrong side inward.

a trellis drainage pattern