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This sounds as a very basic question, I guess I just don't know proper terms to find the answer at once..

I'd like to create a complex polyhedron, so I'd like to create a tetrahedron first. Starting from a cube, I can get a figure like the one below (by deleting some faces and edges), but how do I connect those vertices with 3 missing edges?

Although the main question is the one in the title, other advices about creating a tetrahedron are welcome, too.

enter image description here

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    $\begingroup$ Try selecting the two vertices you want to connect and press F of the keyboard. The same tool can be used to connect two edges with faces. $\endgroup$ – CyberBurst Oct 21 '16 at 14:17
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    $\begingroup$ related: blender.stackexchange.com/a/10729/19287 $\endgroup$ – Dan Oct 21 '16 at 14:47
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The answer is simple. Just press F between two vertices.

And your tetrahedron problem can be solved as follows:

  • Start with a Plane.

  • Delete one vertex and join all vertices with F to make a triangle.

  • Subdivide the triangle.

  • Go to the outer vertices and scale them on the xy axis to 0.

  • In the last step you only have to move the selected vertices on the Z axis by one.

Enter image description here

That's it.

(Of course, don't forget to swap normals.)

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    $\begingroup$ it is not completly a tetrahedron =( the edges are not all equally long.... bad answer $\endgroup$ – Ruben Nunez Oct 21 '16 at 14:45
  • $\begingroup$ Right, so it's the F button. But what's the name of the operation? $\endgroup$ – YakovL Oct 21 '16 at 16:08
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    $\begingroup$ the name is [Make Edge/Face] press space and write the function name.... =) $\endgroup$ – Ruben Nunez Oct 21 '16 at 18:41
  • $\begingroup$ F is to form a face, if you want to join 2 vertices to make an edge, better to press J $\endgroup$ – Eric Brochu Jun 4 at 21:37
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There is already a tetrahedron hiding inside the Blender default cube:

Enter image description here

Note: With two vertices selected, hitting the F key will create an edge between them. With more than two vertices selected hitting the F key will create a face. F = Fill (fills in the space between selected).

Revealing the tetrahedron:

  • Select the three vertices that make up the blue triangle and hit the F key.
  • Repeat for the yellow, pink and the fourth triangle.
  • Delete the four vertices of the cube that are not being used.
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  • $\begingroup$ Nice, I should have thought about this one :) An unfortunate thing is that we still have to use approximate values of a rotation angle to put this one on its face and use 2 rotations for that.. $\endgroup$ – YakovL Oct 21 '16 at 22:24
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For the sake of completion you can do a tetrahedron directly by enabling the Add Mesh Extra Objects Addon:

enter image description here

On the 3D viewport you can then add>Math Function>Regular Solids and choose a Tetrahedron from the Toolbar (or on the F6 Menu)

enter image description here

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