The Apollonius-Toën case
Question
2.1
What if we collapse all of the three red circles to one point?
![\includegraphics[scale=0.2]{Images/all8circles/all8circles-0.png}](images/collideto1point.gif)
Answer
2.2
In this case we find infinitely many tangent circles!
![\includegraphics[scale=0.2]{Images/all8circles/all8circles-0.png}](images/image.gif)
Question
2.3
How did we pass from 8 to infinitely many?
As we will see next section, the answer lies in the presence of redundancies!