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Extending the 'Make Edge/Face' functionality.
UI location Editmode > F-key
Usage Enter editmode. Select a single vertex or edge and press F.
Version 1.4.0 Author(s) Crouch
Blender 2.65 License GPL
Category Mesh Distribution Release

Executable information
File name mesh_f2.py
Current version download [Extensions SVN]
Python modules itertools

Links [Script homepage] with extensive documentation (including images)

[Discussion thread] at BlenderArtists

General information

F2 (also known as the 'spider-script') extends Blender native functionality of creating faces. It allows you to create a face from a single vertex selection or a single edge selection, while retaining all the built-in functionality. Simply enable the add-on, and pressing the F-key will be better than ever before.

Example video

(Click here if the video controls do not embed, for you.)

Detailed explanation

Quad from vertex

When a single vertex is selected, a new quad is created by creating a new vertex. The position of this new vertex is calculated based on the three existing vertices. These are the selected vertex, and two vertices to which it is connected via open edges. An open edge is an edge which is only part of one face, or none at all. The newly created quad has the same material and normal direction as the neighbouring faces.

Quad from edge

Similar to the quad from vertex functionality, this is based on open edges. The selected edge has to be connected to two open edges. The vertices which belong to these edges are used to create a new quad.

Direction control

If there are multiple ways to create a new quad, the position of the mouse cursor is taken into account. Of the multiple new faces which are possible, the one which will be closest to the mouse cursor (in 2d screen-space) is the one which will be created.