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:P
You cant create a 60° angle by counting ingame-tiles because you had to create a 1:√3 ratio. And because √3 is irrational, it can't have a ratio made of integers only.
If you really try to create a perfect 60° angle, you have to work with circles, which could be quite hard ingame.
Even if you manage to make a perfect 60° angle, it actually isnt because a computer works with digital numbers, not analog ones. So a computer also can only come near to a number equal to √3, but never perfectly to it. Thats why supercomputers still are working on pi, because pi is irrational too.
tl;dr: Nope you cant make a perfect one. And yes this is a troll post.