What is the difference between the left and right Maneki Neko?

Excuse me, could you clarify the distinction between the left-facing and right-facing Maneki Neko figurines? I've heard they symbolize different things, but I'm not entirely sure of the specifics. Could you elaborate on the traditional meanings associated with each orientation and their potential implications for those who choose to display them in their homes or businesses? I'm quite curious to learn more about these charming feline figurines and their cultural significance.