I am using the following modified code from the tutorial examples/plot_barycenter_1D.py. I have just modified it to compute barycenters between bimodal 1-D distributions.  

I expected to see the barycenter to also contain only two peaks however it contains 3 which is not very intuitive geometrically speaking . 

I have attached the resultant figure showing that the barycenter computed has three peaks. 

Is there a way to intuitively understand why this is happening.  The results dont show this  if weights computed using \alpha when \alpha = {0,0.1,0.8,0.9,1} 

Thanks

 Kowshik

The result image is here-  https://imgur.com/a/o3ptZ8U