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Truncated pyramids. How to make pdf template

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.

The paper net of the truncated pyramid is a flat geometric figure that completely repeats the body's surface 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 pyramid's property, 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:

Let's demonstrate what it will look like on an example of a pentagonal truncated pyramid:

Below are the nets for variants of truncated pyramids with a different number of faces:

Truncated pyramids

the base is the regular triangle

Правильныая усечённая треугольная пирамида

Truncated regular triangular pyramid

the base is the right quadrilateral (square)

Truncated regular quadrangular pyramid

the base is the regular pentagon

Truncated regular pentagonal pyramid

the base is the regular hexagon

Truncated regular hexagonal pyramid

the base is the regular heptagon

Truncated regular heptagonal pyramid

the base is the regular octagon

Truncated regular octagonal pyramid

the base is the regular ninth-gon

Truncated regular ninth-angle pyramid

the base is the regular n-gon

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.

1. The cutout shape net of the pyramid is bent along the marked lines.

2. The flaps show the gluing sequence.
Having pasted the first flap, we get.

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

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:

Pyramids from the set "Magic Edges"

To assemble polyhedrons, we can offer you ready-made patterns that are cut and folded.
To do this, you need to use the details of the set Magic Edges 14.
In addition, in the release itself you will find information about the structure of the polyhedrons.

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 starbase:

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:

Truncated pyramids. How to make pdf template

The regular truncated pyramid is a truncated pyramid formed from a regular pyramid.

Truncated pyramids

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