And so, this corresponds to a bad local optima because it has basically taken these two clusters and used them into 1 and furthermore, has split the second cluster into two separate sub-clusters like so, and it has also taken the second cluster and split it into two separate sub-clusters like so, and so, both of these examples on the lower right correspond to different local optima of K-means and in fact, in this example here, the cluster, the red cluster has captured only a single optima example. 