How to select and merge vertices into separate triangles? For my blender model, I have an image of a half-sphere. On its face it is triangulated and I want to merge the triangles together so they are like the portion that the red arrow is pointing to:



What I have tried doing is first going to select on the bottom left, and then using circle select. I selected the areas and I tried doing many different things:

First, I tried pressing AltM and I was given the choice of merging at center, at cursor, or collapse. None of these can give the function I need.

Then, I tried pressing Select > Vertices > Connect and nothing happened. 

I have tried using this: http://wiki.blender.org/index.php/Doc:2.4/Manual/Modeling/Meshes/Editing/Vertices/

Does anyone know what I should do?
Switch to edge select mode (CtrlTab&gt; Edge)

Select the edges you want to cut. Border select works well (B), or you can select a couple edges like the ones you want to select and press ShiftG&gt; Face Angles.

Press W&gt; Subdivide and turn up the smoothness in the redo panel.



Note
I very much recommend working with quads instead, and using a triangulate modifier to non-destructively triangulate the mesh in realtime.