这个系列开题是从周期分析开始的，这么长时间里我简单介绍了Hurst分析方法，当然此方法的内容远非我这三言两语说透了，只是想起到抛砖引玉的作用。周期分析方法其实还有很多，譬如，市场矩阵法、数字信号处理分析法、金融星象学法、Edward Dewey法、Delta Phenomenon法、Von Thienen法、Walter Bressert法、Brian Millard法、Bradley Cowan法等等。如果大家要更深入学习Hurst以及这些更高深的方法，暂时抱歉，只有缘分匪浅且我的入门弟子才有资格了。这里我唯一想奉劝的一句就是少看或不看像周金涛或者霍华德·马克斯或者国内外所谓知名金融机构（GS\MS\JPMorgan\Nomura\Citi\HSBC etc.）写的低水平的研究报告或书了（当然国内机构写的东西更不堪入目了），因为那是在浪费你的时间和生命！

和周期分析方法相比，对普通的交易者来说，更直观和更具操作性的是采用市场几何学分析方法，可以快速入门获得更多的交易体验。几何学作为数学的一个重要分支，内容博大精深，欧氏几何学、非欧几何学（包括黎曼几何学等）、球面几何学、向量和张量分析、仿射几何学、射影几何学、微分几何学、分数维几何和计算几何学等等。

自然界中存在很多神秘的几何形状结构，很多交易方法产生的灵感就来自于这些特殊的几何关系，譬如分形几何就是大家熟悉的波浪理论的数学基础。

基于以上的想法，接下来介绍的几何交易方法简单实用，大家不妨一试。附上一些自然界神奇的几何形状供大家提高科学与艺术的审美水平。

Market Geometry Techniques

Maybe there are a few secrets to trading.

Here we have several timing techniques and a price-objective method that may make a paradigm shift in your trading. What these techniques have in common is that they combine price and time in a "formula-less" manner to present you tradable market information without the use of statistics, parameter setting, optimization,neural-net training, modeling  - and all the other things that traders try to apply to a non-linear data-stream in a fruitless attempt to find consistentresults in a data-stream that never will be consistent by its very nature. Theinformation presented to you by market geometry consists of times that trendswill change and also "hidden" support-resistance levels. Thisinformation is gleaned from current market structure - so it's self-optimizing.The trading that is best facilitated is swing-trading, both overnight andintra-day, where one trades the trend channels found in the timeframe you aremonitoring. In addition to using them in my trading for years, I can assure youthat I've tested these techniques on stock-index data as far back as the 1930'sand in grains as far back as the 1950's. The accuracy is the same decade afterdecade, and it's simply amazing.

There are three distinct trading methods here. When coupled with the entry/exit techniques described in theTrade Execution manual that accompanies this course you have three discretionary trading systems.

1.       PF+Fib has been around for over 25 years and I don't believe it's ever been revealed before.This method gives the largest number of trades, both intraday and on dailycharts. I know for a fact that several full-time traders have been using thisas their primary trading system for a couple of decades. And it's rather easyto apply!

2.       PF-Angles has been my personal primary trading method for over 10 years now. For 8 of those years itwas the main source of income for myself and my family. I developed it and therules for using it myself, this is the first time it's ever been made public.This method is more complex than the first, but the learning curve hasn't beena problem for the traders I've taught it to.

3.       Gann Square Timer (GST) and Gann Square 24 (GS24) - these are complex methods that takepractice, but those who have done so have made it their primary trading tool.The first is for trending markets that show corrections of at least 50%, thesecond is for any market type in which you can identify a clear and significant high or low. So basically all market conditions are covered by one of the two.You'll obtain accurate trend-change times and dynamic support resistance levelsfrom each of the two.

The method titled "PriceExpansions" is a favorite among early owners of this course, it's quiteversatile. It helps you spot narrow price ranges where a trend willcorrect or reverse, as such its primary use is for profit-taking. But it can also be used for trade setups, as you'll see in the PF+Fib method. Basically,if any of the trend-change methods presented here are indicating a trend-changeand price is inside a trading range defined by the Price Expansions method, youcan proceed with greater confidence.

I hope this sets you on the path towards becoming a master trader. With practice and some trading experience with these techniques you'll look at the traditional technical analysis methods with disbelief that you ever used them.  Email me your questions and concerns, I truly am interested in your success.