Here open ball are intersecting with the curve,,,then why they are not locally connected....??

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Why topologist sine curve not locally connected ?

i was thinking about this problem,,,and i was googling and found this answer here..

Why is the "topologist's sine curve" not locally connected?

But i didn't understand as not getting in my head..

as i have thinking my ownselfenter image description here

Here open ball are intersecting with the curve,,,then why they are not locally connected....