Making a carboard Lamp
In this section, I show how I made a star-shaped cardboard lamp.
This would be the first pyramidal face of the dodecahedron I wanted to create : With pyramidal faces, it would look lik star.
Then I had to apply a 3D rotation to each face, using the correct angle, in order to "fold" correctly the shape and create the final volume. The value of the dihedral angle is 116,56505° so the rotation angle must (180-116,56505)=63,43495°.
Once all the faces rotated correctly, the result is a nice star like this ! (here I changed the height of the pyramids to make the star shape more visible) :
After this I duplicated the shape, scaled it at 95% of its size, and exatacly centered the two shapes to each other. Then I applied a boolean difference on the bigger one with the smaller one, to make it hollow.
Finally I trimmed the top and bottom of the star to allow the passage of the screew of the bulb and to allow more light to pass through and I made a circular hole the same diameter of the screw to be able to fix the lamp on it.
My lamp shape was now ready to be sliced !
Once all parameters are set correctly, you only have to click on "get plans" and then "export" and your plan is ready to be cut ! The plan includes numbers for each part that are in a different color from them shapes.