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How to quickly make a TORUS from a sheet of paper

geometric solid - torus

Want to make a fairly complex geometric solid - torus in 10 minutes?
 

First of all, an assumption must be made - here. We create a simplified torus model. Firstly, creating a perfectly smooth body of revolution from the paper is basically impossible. Secondly, the surface of our torus will be formed from a group of rings. And between these rings is an open space. In theory, this should not be. The surface of the torus must be completely closed.

Therefore, this model claims only the title of the easiest to assemble, visual model of the torus!

 

Download torus shape net

torus shape netThe torus shape net is made so that the width of the strips is 20 mm: 

download torus shape net pdf

download torus shape net jpg

torus shape net

The torus shape net is made so that the width of the strips is 10 mm: 

download torus shape net pdf

download torus shape net jpg

Torus assembly diagram

torus shape net

1. Print a shaped net on a regular sheet of A4 size. You can use either plain paper or thicker paper, such as a sheet of cardboard.

torus shape net

2. Cut off excess elements from the sheet

torus shape net

3. Cut the bottom strip. Please note this strip is significant. She needs to be put aside. We will need this item later.

torus shape net

4. Gently bend the sheet into a tube.

torus shape net

5. We make the main cuts. The cut should reach the marked strip. So we get a chopped "straw" sheet.

torus shape net

6. Press the sheet to align all the strips in a line.

torus shape net

7. Glue the strip on top to secure the free ends.

torus shape net

8. Glue the shape net into a tube.

torus shape net

9. After the glue has dried, we begin to collect the tube into a ring.

10. We get a simplified version of the geometric solid - a torus.

geometric solid - torus

The geometric solid dimensions are excellent - the diameter of the outer contour is 195 mm by 60 mm in height. For comparison, a sheet of A4 format and a torus made of a sheet of the same size:

geometric solid - torus

The denser the paper, the more geometric the shape will be. But still, this is a very conditional construction of the torus. The biggest plus of this design is its simplicity and speed of manufacture.

geometric solid - torus

By changing the stripes' width when cutting the sheet, we can get a more or less smooth design. On the left is a torus with a stripe width of 20 mm, and on the right with a strip width of 10 mm.

geometric solid - torus

 

Shape nets of other solids of revolution can be found here.

 © polyhedr.com  30/04/2020

 

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