My name is Zoe and I have been researching the origins of my name, considering a possible tattoo. I want to ensure that I fully understand this. The primary difference I've noticed between pictures of the Phos Zoe Cross is that the Omega symbol can be represented as a W looking shape or as a horseshoe shape. Please help me understand why this is and which is the most accurate or grammatically correct. Proper pronunciation might help too.
The difference you're describing between the two forms is merely the difference between "upper case" and "lower case" Greek. The horseshoe shape is the "upper case", and the more ancient. The W shape is "lower case" and comes from the Hellenistic period.
Greek has two forms for all its letters. You want to make sure you're using the same case for your tat for all letters, but whichever you chose doesn't matter.