[POT] Fwd: Understanding 1-D barycenters in 1-D

Hello, 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 code is here - https://pastebin.com/bgMgrBMd The result image is here- https://imgur.com/a/o3ptZ8U <https://imgur.com/a/o3ptZ8U> ᐧ