Nets solids of revolution
What happens if a flat geometric shape, such as a rectangle, begins to rotate rapidly relative to one of its sides?
We create a new geometric solid in space by rotation.
The official definition for such geometric bodies is as follows:
The solids of revolution are volume bodies that arise when a flat geometric figure bounded by a curve rotates around an axis lying in the same plane.
Here it is important that a flat geometric figure can be a completely arbitrary shape.
For example, a curve that, when rotated, forms a vase or a light bulb. Such tools for creating bodies of revolution are very popular with those who work in 3D-design programs.
It is formed by rotating a rectangular trapezoid around its side, perpendicular to the bases of the trapezoid.
During the rotation of the contours of the figures, a surface of revolution arises (for example, a sphere formed by a circle), while during the rotation of filled contours, bodies appear (like a ball formed by a circle).
The usual sense of the torus is a "bagel".
How to make a cylinder of paper?
How to make a paraboloid of paper?
How to make a paper hyperboloid?
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