0.00 $

0 item(s)

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 solids is as follows:

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. But from a mathematical point of view, the following geometric solids of revolution are of primary interest to us:

The cylinder is formed by a rectangle rotating around one of the sides.

The cone is formed by a rectangular triangle rotating around one of the sides.

A truncated cone is part of the cone located between its base and the cutting plane parallel to the base.
It is formed by rotating a rectangular trapezoid around its side, perpendicular to the trapezoid bases.

The ball is formed by a semicircle rotating around the diameter of the cut.

During the rotation of the figures' contours, a surface of revolution arises (for example, a sphere formed by a circle). During the rotation of filled contours, bodies appear (like a ball formed by a circle).

During the rotation of the figures' contours, a surface of revolution arises (for example, a sphere formed by a circle). During the rotation of filled contours, bodies appear (like a ball formed by a circle).

An ellipsoid is a surface in three-dimensional space, obtained by deforming a sphere along three mutually perpendicular axes.

The torus is formed by a circle rotating around a straight line that does not intersect it.

The usual sense of the torus is a "bagel".

The usual sense of the torus is a "bagel".

A paraboloid is a surface formed due to a rotation around the axis of a curve formed by a parabola graph. Hence the name paraboloid.

A hyperboloid is a surface formed due to rotation around the axis of a curve formed by a hyperbola graph. Accordingly, the name is a hyperboloid.

How to make a cylinder of paper?

How to make a cone of paper?

How to make a paraboloid of paper?

How to make a paper hyperboloid?

How to make a paper torus?

To compare the resulting models' sizes, we tried to assemble them on the same surface together with prisms from the Magic Edges #16 issue.

It turned into a whole mathematical city of paper that fits on the table!

In the natural environment, regular polyhedra can be found in the form of crystals (minerals). The...

In the second half of the 19th century, a new teaching method was born in US schools - the project...

(challenging task called “the star”) It consists of 6 symmetrical small bars of complex shapes...

The box geometric shape from a distance resembles a rounded shape, emphasizing the similarity with the...

The Kepler's Star (nor Keplerstjernen), 45 meters high, is located near Oslo in Gardemoen Airport. A huge...

This group of five geometric solids was given the name of the ancient Greek scientist Plato....

Find a gift for the schoolboy that will be interesting, useful, and not ruin the family budget - is...