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I wanted to create edges between these vertices automatically:

enter image description here

But when I selected all these vertices and pressed F this is what i got:

enter image description here

To create edge between each vertex I selected 3 or 4 vertices at a time and then I pressed F

enter image description here

And I did the same for all:

enter image description here

So is their any shortcut method to do this?

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    $\begingroup$ Have you tried W > Bridge Edge Loops? Another answer here FYI. $\endgroup$ – Leon Cheung May 14 '14 at 16:57
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You have a couple options:

Triangulate:

Press F with everything selected to make an n-gon, then press CtrlT to triangulate it:

enter image description here

Bridge:

As Leon Cheung already mentioned, you can use the bridge tool.

Select the opposite edge loops (in this case, everything) and press W> Bridge edge loops or WE.

enter image description here

This method will create quads if the the edge loops have the same vertex count but otherwise creates triangles. You can press AltJ to automatically convert some of the tris to quads.

Fill:

You might already know this, but I thought I'd mention it just in case.

Fill now automatically detects vertices for the new faces, so to do what you did in your question you only have to select two vertices and then repeatedly press F.

enter image description here

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You can also enable the preinstalled F2 addon. Then after "filling" to verts to an edge you can "fill" the edge with F. Then the addon adds automaticly a quad face in the direction of your mouse.
(With this addon you have a few more options like filling a single point in a mesh etc)

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