Paul
While Darren is technically right, your should also know that St. Andrews is effectively just a posh suburb of Dundee (or perhaps Knightsbridge....)
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If you want to get to the real Fife, where men are men and the pit ponies are nervous (or used to be when coal mining supported the whole economy) go West, young man, go West! There you will find such gems as:
--the 300 yard 10th at Balwearie--drivable, but only if you can narrowly thread your tee shot between the gorse covered hill on the left and the river on the right
--the 18th at Thornton, with its bottled fairway showing one of the few extant examples of non-Stupid Trees, and a superb green complex.
--The 18th at Kinghorn, requiring a 210 yard high-trajectory shot to clear the holl in front of the tee, towards a lovely hidden green.
--The linksy 3rd at Aberdour where unless you hug the shoreline with your tee shot (and hit it long) you will be faced with a second shot over a bunker to a fall-away green.
--The opening 470 yard hole at Dr. MacKenzie's Pitreavie. Drive to a fairway which slopes sharply from a roughly maintained hill on the right to trees and a stream on the left. Once you've negotiated that, hit a long iron off a sidehill lie over the crossing burn and then up a steep hill to a fast back to front sloping green. "Par" "4"
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--The 150 yard 17th at Burntisland--hit over 130 yards of scrub and rubbish to a hidden green set within an old quarry.
--The long 9th at Dunnikier--a good strong drive over the rolling fairways will give you a glimpse of and chance of reaching a green surrounded by deep bunkers.
--The 8th a Balbirnie, requiring at least 230 of carry to the top of the hill to get a sight of the green, and then a long-medium iron to reach yet another plateau.
There are many others worth playing over here--if one chooses to venture out of the admirable cosiness of NE Fife........