Welcome

Hi sterobe, I'm up late and in a relatively good mood, so I'll try and answer your question in a fairly polite, and informative manner, without automatically assuming your a troll, here to bait the fixed and single speed forum populace.
Lent a friend of mine, my fixed, he rides geared roadbikes normally and his response was to say that riding it was great because the bike talks back to you.
When you ride normally, freewheel, brakes, gears, you talk to the bike, you change gear, you brake, you turn. When you ride fixed, the bike talks back to you, the fact that your legs are used to not just raise your speed, but to slow it as well, means you have much more information than you normally would, the bike feeds back more info to you and you are aware of this, get used to it, and then when switching back to your geared/freewheel bike you find it feels unresponsive, you want that immediacy of information that you get from the fixed and you find that your spending more and more time on it.
If that appeals to you come to one of the drinks on this forum or on of the polo nights and try someone's bike and ride fixed, then come back here flushed with interest and excitement, wanting to build up your own, or buy one from one of the members on here, if not keep on riding your geared bike, but in the end just keep riding.

hi there, i'm relatively new to cycling and have just bought a bike. excuse my ignorance, but what would the advantages be of having a single, fixed gear bike as opposed to the 10 speed i have just now?