Voodoo trading could add a lot to your bottom line. W.D. Gann, R.N. Elliott and other cultists spent years studying the market's mystical side, trying to figure out how obscure ideas could tap hidden profits. Magic numbers, astrological dates and prayer wheels have all been enlisted in the search for that elusive trading edge.

Most traders believe Fibonacci fits in the category of market witchcraft, but this arcane science has a basis in fact. A 12th century monk known as Fibonacci discovered a logical sequence that appears throughout nature. Beginning with 1 + 1, the sum of the last two numbers that precede it creates another Fibonacci number. For example: 1+1=2, 1+2=3, 2+3=5, 3+5=8, 5+8=13, 8+13=21, 13+21=34, 21+34=55, etc.

Major ratios between Fibonacci numbers identify expected retracement levels, as markets pull back after rallies or selloffs. The most common Fib retracements are 38%, 50% and 62% of the principal price movement. These are price levels where many traders expect important reversals and bounces. For obvious reasons, these also represent entry signals in many short-term strategies.

Fibonacci patterns and the Elliott Wave are kissing cousins. According to Elliott, major rallies or selloffs occur in three primary waves, with two countertrend waves in between. These waves are often boxed into major retracement levels. Go back and look at my article "Mind the Gaps." Notice how Fibonacci retracements can also define levels where markets jump from one price to another.

Markets swing off common retracements as they move from support to resistance and back. But these dynamics have become harder to trade in recent years. The popularity of Fibonacci as a technical tool is the likely culprit. Many smart players now trade against key retracement levels because they know weaker hands will jump in at these prices. For example, they will sell support just because of expectations of a bounce at that price level.

But Fibonacci applications still have tremendous value for swing traders. The trick is to use an original approach. First, never trade a retracement level in a vacuum. Look for other forms of support or resistance to show up at the same price level. For example, when you see a 50-day moving average, an intermediate high and a trend line converge at a 62% retracement, the odds for an important reversal greatly increase.

You can also learn to trade the Fibonacci whipsaw. Stand aside when price pulls back to a deep retracement level. Let other traders take the bait and get shaken out when price breaks through the number. Then let the market reverse and jump back across the retracement level. Use this crossing as your entry signal. The markets usually punish only one side of the action at a time.

Apply less common retracement strategies to avoid the crowd. H.M. Gartley described little-known Fibonacci relationships in his 1937 book "Profits in the Stock Market." The Gartley Pattern relies on a 78% retracement, and represents another way to capitalize on those caught in a 62% whipsaw. This classic setup, first described almost 70 years ago, works just as well now as it did during the Great Depression.

You can also trade Fibonacci extensions, instead of retracements. Market wizard Larry Pesavento highlights a Gartley variation he calls the Butterfly Pattern. This is a complex formation, which carries price 27% past a 100% retracement before it reverses. Got that?

The combination of all these waves and ratios can certainly be confusing. But one of the joys in applying complex Fibonacci math is its ability to confuse most traders. After all, the markets rarely reward the trading style of the majority.