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Need More Jack-o'-lanterns? Maybe Archimedes Will Help Us?

archimedean halloween

The Great Archimedes is ready to help us.

And it's great! According to legends, Archimedes created amazing structures to defend Syracuse's hometown in the battle with the Roman Empire.

The ancient Greek scientist Archimedes discovered 13 semi-regular polyhedra.

We will use three Archimedean polyhedrons as a basis for creating Jack's Halloween lanterns:

- truncated cube;

- truncated octahedron;

- cuboctahedron.

archimedean halloween

 

The polyhedrons' size is chosen to fit into a sphere with a diameter of 100 mm.

archimedean polyhedra in sphere

 

This will allow us to create a collection of models of comparable sizes.

Pumpkin polyhedra collection

 

And most importantly, the polyhedron shape net will be able to fit on one A4 sheet.

Three more will be added to our collection to the two polyhedrons already created in the previous article.

To build, we need approximately 30 minutes of your time to create each polyhedron.

pumpkin cuboctahedron shape net    pumpkin truncated cube shape net   pumpkin truncated octahedron shape net

Supplies:

- 3 sheets of paper;

- scissors;

- glue;

- pen and ruler.

Even the youngest reader can handle these crafts.

archimedean halloween

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 Cuboctahedron 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.

pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net  pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net  pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net   pumpkin cuboctahedron shape net

pumpkin cuboctahedron

 

The Truncated Cube 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.

pumpkin truncated cube shape net   pumpkin truncated cube shape net   pumpkin truncated cube shape net   pumpkin truncated cube shape net  pumpkin truncated cube shape net   pumpkin truncated cube shape net   pumpkin truncated cube shape net   pumpkin truncated cube shape net

pumpkin truncated cube

 

The Truncated Octahedron 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.

pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net  pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net  pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net   pumpkin truncated octahedron shape net

pumpkin truncated octahedron

 © polyhedr.com 18/10/2020

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