How to connect triangles (surfaces) for tetrahedron?

[Anonymous]

Sketch -> triangle.

3 surfaces (components)

First - ground.

Second and third - joint (rotation).

How to glue 2 and 3 surfaces together?

[TheCADWhisperer]

Can you explain why you want to do that as 3 separate surfaces?

[Anonymous]

Because 3D angle consists of several faces (triangle, square, pentagon, hexagon, octagon, decagon, and star 5-, 8- and 10-polygon).

[TrippyLighting]

If you use the search function of the forum you should find a number of threads that explain how to design a tetrahedron and other platonic solids.

The method you have chosen is really not the best choice.

[Anonymous]

1) I didn't find good decisions in my previous post (when I had not read about surfaces).

2) This method I use in real models from paper. The next aim - to do a computer game for making all the 75 possible polyhedra.

[TrippyLighting]

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@Anonymous wrote:

2) This method I use in real models from paper. The next aim - to do a computer game for making all the 75 possible polyhedra.

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I don't see how that's relevant. You are working with computer software, not with paper!

There have been several threads where users have shown how to create a tetrahedron,

Attached is my solution.

[Anonymous]

Interesting.

But I am looking for the universal way for all possible faces, not only for tetrahedron. Hence I don't know all the angles between the faces (60 degrees in our example). I am looking for free face rotation and edge connecting.

[TrippyLighting]

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@Anonymous wrote:

Interesting.

But I am looking for the universal way for all possible faces, not only for tetrahedron. 

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That does not exist. 

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@Anonymous wrote:

Hence I don't know all the angles between the faces (60 degrees in our example). 

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Thus, the use of a branch o math called trigonometry is strongly encouraged.

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@Anonymous wrote:

I am looking for free face rotation and edge connecting.

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Unless you rotate the face to the price angle you cannot "connect" the edge. As I've mentioned already, that technique is imprecise and unlikely to succeed.