It's not, actually. The actual difference is that beta is a form of B, while Eszett is two letters s (a long one and a short one) joined together and drawn with a single stroke. Alternatively, a letter s and a letter z (hence the name Eszett).
You gave the history of it
But the context of the question is how a system like a human can make a visual distinction quickly via a characteristic
The characteristic I gave was the little tail which is independent of knowing the derivative of how it got its tail
You gave the history of it
But the context of the question is how a system like a human can make a visual distinction quickly via a characteristic
The characteristic I gave was the little tail which is independent of knowing the derivative of how it got its tail