Direction isn't a quantitative measurement, it's an orientation, ie, left, right, up, down. You can't have "infinite direction" anymore than you can have "infinite leftness". I want to say also that if your direction was quantitative, it would be quantifiable dimensionally, so your point would no longer be a point, but a line. But, if we're going to entertain that this discussion has any value I guess we have to entertain the idea that "direction" can be analogous to a property like colour, a la, various Holographic Universe hypotheses, so you could have a zero-dimensional point that was "infinitely red" and also had "infinite leftness", whatever that means.
Your formula is nonsense but I'm sure you know that, I mean what is r there? And what is the point of pi?
You may as well have written it as V = 0, where V presumably refers to any spatial coordinate, and you would not be wrong that that describes a point although I'm not sure what else there is to discuss here.
Maybe low hanging fruit this post but, whatever, that's my input.
