Here's how the lamp arrived. It seems to have rolled when it fell because there was damage on all sides. This caused the normally round lamp to be pushed out of shape.
I marked the cracked pieces with rectangles of blue painter's tape as shown below.
Below, I'm carefully pulling the sides of the lamp outward and turning the lamp in a circular motion, to try and help it regain its shape.
After assessing and marking all the cracked pieces with squares of blue tape, I started replacing those which were closed to the cap. Here I'm using needle-nose pliers to extract the cracked glass, one piece at a time.
Now I'm removing the old solder and copper foil using needle nose pliers. For the smaller pieces of green or white glass, I melted it off using a hot soldering iron. Either way is effective.
Below, I've scored the glass with the pistol grip cutter and am using a (blue) pair of running pliers to snap the glass in a straight line.
Below, I've lined the opening with adhesive copper foil. To assure a strong bond for a new piece, its necessary to completely clean and re-foil the outer border for the replacement pieces.
I replaced a total of 20 pieces of glass in the lamp, 10 green, 7 white (pale amber) rectangles, and 3 smaller triangles. Below are three photos of the completed lamp, now round and free of cracks.
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