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Don't you like math? Beware of Halloween!

Halloween polyhedra

If you don't like math, then on Halloween, evil forces will come for you! Create two guards who will protect you from evil forces! Well, or, be ready for the math exam….

We've got the shape nets to create two guards! The dodecahedron and icosahedron were chosen as the basis.

Halloween polyhedra

The icosahedron is a geometric solid that can be composed of twenty identical equilateral triangles.

The dodecahedron is a geometric solid that can be composed of twelve regular pentagons.

Two classical regular polyhedrons - the icosahedron and the dodecahedron - can be made in an unusual shape.

But now we cut holes inside the polyhedrons, like in a pumpkin for Halloween.

To assemble two models, we need two shape nets of A4 paper.

Halloween dodecahedron shape net    Halloween  icosahedron shape net

Glue, scissors, and about 1 hour of your time.

Even the youngest reader can handle these crafts.

Halloween dodecahedron icosahedron

It is advisable to find orange paper in tribute to the traditions of the holiday.

And, of course, the orange paper will remind us, as if we are carving a real pumpkin!

The fold lines can be drawn with a ballpoint pen. This will make the fold lines more precise.

Cut the shape net with ordinary scissors along the contour.

 

The Icosahedron Assembly Diagram

Bend all the elements of the shape net along the fold lines. The fold should be done inward.

The process of gluing the net is straightforward. For convenience, the petals are marked with numbers indicating the gluing sequence.

Halloween icosahedron shape net  Halloween icosahedron shape net  Halloween icosahedron shape net  Halloween icosahedron shape net  Halloween icosahedron shape net  Halloween icosahedron shape net  Halloween icosahedron shape net  Halloween icosahedron shape net

Halloween  icosahedron

 

The Dodecahedron Assembly Diagram

Bend all the elements of the shape net along the fold lines. The fold should be done inward.

The process of gluing the net is straightforward. For convenience, the petals are marked with numbers indicating the gluing sequence.

Halloween dodecahedron shape net  Halloween dodecahedron shape net  Halloween dodecahedron shape net  Halloween dodecahedron shape net  Halloween dodecahedron shape net  Halloween dodecahedron shape net  Halloween dodecahedron shape net  Halloween dodecahedron shape net

Halloween dodecahedron

 

Mathematicians can joke too!

On the one hand, it will be a decoration for the celebration of Halloween. On the other hand, it will remind you of these two wonderful geometric solids' mathematical components.

The polyhedrons' dimensions are selected so that the polyhedron can be inscribed in a sphere with a diameter of 100 mm.

icosahedron inside a sphere dodecahedron inside a sphere

You can download the classic shape nets of the dodecahedron and icosahedron here.

P.S. And someone already frightened children with polyhedrons?

The Simpsons dodecahedron

In the popular cartoon "The Simpsons," Lisa shows the little girl a picture of a dodecahedron. By this, the cartoon authors wanted to show that the "dodecahedron" is something from the realm of science fiction. But you and I know that it's simple - mathematics.

 © polyhedr.com 05/10/2020

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