When to use the Bridge pattern and how is it different from the Adapter pattern?

There’s a combination of Federico’s and John’s answers.

When:

                   ----Shape---
                  /            \
         Rectangle              Circle
        /         \            /      \
BlueRectangle  RedRectangle BlueCircle RedCircle

Refactor to:

          ----Shape---                        Color
         /            \                       /   \
Rectangle(Color)   Circle(Color)           Blue   Red