How do I add a specific cut pattern with a draft around a curved surface?

I am trying to create the mountain pattern at the top of the Evian bottle, and a I can't figure out a way to go about it. It's a slightly uneven pattern with a draft that cuts into the bottle. It's very sculptural, and I would love suggestions on how to go about it.
2 Answer

In order to Focus on your question I will Keep the bottle thread out of the tutorial.
Answered with a tutorial: https://grabcad.com/tutorials/how-do-i-add-a-specific-cut-pattern-with-a-draft-around-a-curved-surface