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Truncated pyramids

Truncated pyramids
The truncated pyramid is a polyhedron formed from a pyramid by cutting off its part by a plane parallel to the base.
 
The regular truncated pyramid is a truncated pyramid formed from a regular pyramid.
truncated pyramid
The paper net of the truncated pyramid is a flat geometric figure that completely repeats the surface of the body and, when bending and gluing, allows the creation of a geometric solid.
 
Depending on the number of corners of the base, the truncated pyramids as well as the regular pyramids distinguish:
- triangular or trihedral pyramids;
- quadrangular or tetrahedral pyramids;
etc.
 
 
To create models of truncated pyramids of comparable sizes, you can use the property of the pyramid, when a cone can be described near the pyramid.
We chose three cones of various sizes in each of which can be inscribed 3, 4, ... 9-facet truncated right pyramid:
 
truncated pyramid pr1
Let's demonstrate what it will look like on an example of a pentagonal truncated pyramid:
 
usech pr2
Below are the nets for variants of truncated pyramids with different number of faces:

Truncated pyramids

 
triangular pyramid 3 1
base is the regular triangle
 
 
quadrangular pyramid 4 1
base is the right quadrilateral (square)
 
 
pentagonal pyramid 5 1
base is the regular pentagon
 
hexagonal pyramid 6 1
base is the regular hexagon
 
heptagonal pyramid 7 1
base is the regular heptagon
 
octagonal pyramid 8 1
base is the regular octagon
 
nine cornered pyramid 9 1
base is the regular ninth-gon
 
.
.
.
.
.
.
 
decagonal pyramid 10 1
base is the regular n-gon
truncated decagonal pyramid 10 2
Truncated regular n-gonal pyramid
 
 

How to make a truncated pyramid of paper?

To build a truncated pyramid, you will need to print a scan on a regular A4 sheet. Download net.

truncated nine cornered pyramid f 1

1. The cut out development of the pyramid is bent along the marked lines.

сделать пирамиду из бумаги

2. The flaps show the gluing sequence.
Having pasted the first flap, we get.
сделать пирамиду из бумаги

3. We glue the upper base of the pyramid in the place of gluing No. 2

сделать пирамиду из бумаги

4. We turn the pyramid and glue the base in place of gluing No. 3

We get the finished model of the truncated regular pyramid:

f 5

Assembly kit

For the assembly of polyhedra, we can offer you cut and bent nets.
To do this, you need to use the details of the set Magic Edges #14.
In addition, in the very issue you will find information on the structure of polyhedra.

 
red star 14 400 2
 
Assembling the right quadrilateral pyramid:
 
Rotation of the finished polyhedron assembled from these parts:
 
Assembling a truncated quadrangular pyramid:
 
Rotation of the finished polyhedron assembled from these parts:
 
Assembling a pyramid with a star base:
 
Rotation of the finished polyhedron assembled from these parts:
 
Assembling a bi-pyramid with a base in the form of a five-pointed star:
 
Rotation of the finished polyhedron assembled from these parts:

 

 

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