Q: What is a pattern of plane figures folded to make a geometric model called?

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

Line Symetry

net

lines of symmetry

This site doesn't show figures, so nobody can understand your question.

A geometric net of a 3-dimensional object is a single two-dimensional figure that can be folded into the 3-d shape.

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

A paper folded in half is commonly referred to as a "folded sheet" or simply a "fold."

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Folded layers of rock that form a wavelike pattern of troughs and crests are called anticlines and synclines. Anticlines are the upward-arching folds, while synclines are the downward-arching folds between them.

The bottom part of a folded rock formation is called the "axial plane". This is where the layers of rock are bent or folded due to tectonic forces.

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