lesson IV | polyhedrons construction

The class was about construction of:

1. Tetraedro 2. Hexaedro 3. Octaedro 4. Dodecaedro

1. To create a tetraedro I started from drawing a 2D triangle using command POLYGON.

 2. Then I created 3 more triangles using MIRROR.

 3. To create a tetraedro I need to have an orbit. I create it from drawing 2D circle.

 4. I 3D orbited the circle.

 
5. Then I created the line starting in the geometric centre of the triangle.

6. Then I used ALLIGN command using 3 points and directions.

 7. The final tetraedro.

 8. Hexaedro is made using its planimetry and command 3DROTATE.

9. Next, the same way  I created Octaedro, which is made with 8 triangles.

10. Dodecaedro is made with 12 pentagons. At first I need to create them - 3 is enough, then create orbits.

11. Then I ALLIGN one of the pentagon. 

12. From aligned pentagon I did an polar array contained from 5 pentagons.

13.  Then I mirrored 3D the structure and I rotated the upper array structure via 36 degree.

10. I connected both structures and here is the dodecaedro.