Don't You Like Math? Beware of Halloween!

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Introduction: Don't You Like Math? Beware of Halloween!

About: We creating models of mathematical polyhedra. Collection of unique in form and coloring geometric shapes, each of which has a name and precise mathematical properties.

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.

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.

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

Even the youngest readers can handle these crafts.

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!

Step 1: The Icosahedron Assembly Diagram

For convenience, 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.

Bend all the elements of the net along the fold lines.

The fold should be done inward.

The process of gluing the net is straightforward.

The petals are marked with numbers indicating the gluing sequence.

Step 2: The Dodecahedron Assembly Diagram

The assembly of the dodecahedron is similar to the previous step.

Cut the shape net with ordinary scissors along the contour.

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.

The petals are marked with numbers indicating the gluing sequence.

Step 3: 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 bodies' mathematical components.

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

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

Maybe there is a ready-made kit so that I don't cut out the parts, but just glue it together?

Yes, there is such a set. Called Magic Edges 12. It can be found on Amazon:

https://www.amazon.com/dp/B07FF7F1VQ

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

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.

Halloween Contest

Participated in the
Halloween Contest

15 People Made This Project!

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29 Comments

0
datapike
datapike

9 months ago

I have a Cricut Explore Air 2 cutting machine. I'm hoping I can figure out how to get it to cut this shape for me, so I can avoid the tedium of cutting it by hand and the inevitable "Oh crap, I wasn't supposed to cut that part..."

Any chance you have the shape net as a basic SVG outline?

0
LovieLH
LovieLH

Reply 9 months ago

Thanks so much for the SVG's!!! Will use them with my Silhouette cutting machine!

0
Polyhedr
Polyhedr

Reply 9 months ago

Excellent!
LovieLH, please share what material will you do?

0
datapike
datapike

Reply 9 months ago

OMG! You are fabulous! I'll have to try these out and let you know how it goes.

0
Polyhedr
Polyhedr

Reply 9 months ago

Oh sure

0
JohnM1318
JohnM1318

9 months ago

Great tip about using a ball point pen for creases! Worked wonders!

0
Polyhedr
Polyhedr

Reply 9 months ago

Many thanks!
0
2028andrratlif
2028andrratlif

9 months ago on Step 1

that looks so cool i can do it mostly every halloween it looks so cool

0
2028andrratlif
2028andrratlif

Reply 9 months ago

and who is the artist that created this it is awsome

0
Polyhedr
Polyhedr

Reply 9 months ago

Many thanks!
0
_kamini
_kamini

9 months ago

Such an interesting project.

0
Polyhedr
Polyhedr

Reply 9 months ago

Thanks!
I am glad that we managed to interest you.

0
lopuz3
lopuz3

9 months ago

This is awesome! Do you have a recommendation for the best type of glue to use?

0
Polyhedr
Polyhedr

Reply 9 months ago

Thanks!
The choice of glue is inextricably linked to the choice of paper.
The thicker the paper, the stronger the glue you need.
For office paper (standard density 80 g / m2), glue stick may be sufficient.
But if it is designer paper (for example, with a density of 250 g / m2), then it is recommended to use PVA glue (white glue) and buy such glue not in a regular office store, but in specialized stores (for example OBI).
I had an article on the choice of glue. Perhaps you can find useful information in it:
https://polyhedr.com/which-glue-to-choose.html

0
glIder99i
glIder99i

9 months ago

Somewhere I have some net designs that allow a thread to be pulled and essentially assemble the shape with a simple tug. I'll try to find them and see if a pop-up version could be made!