p-norm unit balls in 2D
Here is the progression of unit ball in p-norms as p increases
There are some computational issues and the shapes are not as rounded as they should be. You can see that passed the 11-norm, it feels like the shapes are the same. That is partly computational issues with the system. Any way as p grows, the p-norm unit ball gets closer and closer to the filled square and . That square is the unit ball in -norm.