There's actually three parks there, divided by a chain link fence. The Cyclone resides in Astroland.
It is not the most scenic part of the city, but there's a lot of history there. After all, it's the birthplace of the hot dog!
The Cyclone is a good ride, I'd say a must ride for the true coaster buff. But it isn't "The Greatest Coaster on Earth", as you may have heard. I say go and enjoy it, but don't over hype it.
There's a all day ride ticket for I think $15. One ride is $5. You can just stay in your seat and hand them $4 for a re-ride.
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So many coasters - so little time.