Platonic solids

Models: Author: E3DPLUSVET
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Mathematics
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Technichal Specifications

Technology: FDM 3D Printer model: PRUSA Material: PLA Color: One color for each solid Dimmensions: The described above. Resistance required: No When to print: Before the lesson but also to show how 3D printing works Can it be painted?: No Number of pieces: 5 Need Assembly: Yes Quality required: medium

How to use this exercise?

Convex regular polyhedra - Show in 3D the polyhedral geometrics.

5

General description

Each platonic solid can be constructed through the union of a certain number of equal geometric figures. The connection between the various elements will be made through comb joints.

Number of pieces of which the model is composed:

1) Tetrahedron – 4 equilateral triangles.
2) Hexahedral – 6 squares.
3) Octahedron – 8 equilateral triangles.
4) Dodecahedron – 12 pentagons.
5) Icosahedron – 20 equilateral triangles.

Suitable dimensions for its use in the classroom (mm):

1) Tetrahedron – 1 equilateral triangle 60x60x60 mm.
2) Hexahedral – 1 square 60x60x60 mm.
3) Octahedron – 1 triangle 60x60x60 mm.
4) Dodecahedron – 1 60 mm base pentagon.
5) Icosahedron – 1 triangle 60x60x60 mm.

Models used:

You are free to:

Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material
for any purpose, even commercially.

Under the following terms:

Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Learning Specifications

How can the model be used in class?

The model can be used to teach to students how to build geometric solids through the compositions of a certain number of geometric faces. In particular the Platonic solids are the only ones to have identical faces.

What benefits can its use have?

The use of the model enhances the spatial skills of the students to visualize three-dimensional objects more quickly

Can it be used in other subjects?

Chemistry, Biology and Graphics