Thank you for the very interesting aprroach. Perharps, it will be a very good and visible insrtument.

Thank you, Alex. It will be a visible instrument ...to some extent, 'cause the stockMarkethedron lives in higher dimensions and it may not be accessible to intuitive images. But...it can be assembled from its smaller dimensional faces. At least you can see some of the faces.

Colin, thank you for your comment and valuable information about the relation between algorithms and geometric shapes. I'll check the links you provide my with.

I extended the notion of StockMarketHedron in a book that you can download if interested at:

http://www.amazon.com/StockMarketHedron-Geometrical-Jewel-Heart-Finance-ebook/dp/B00SK0XC4I/ref=sr_1_2?s=books&ie=UTF8&qid=1422380730&sr=1-2

It is possible to geometrize the data by plotting it on a scattering diagram. Every two consecutive value then is expressed by a vector. You'll then have many vectors crossing each other. This can be done for all time series systems, such as music where you'll get proper polygons in the scattering diagram.

The scattering diagram allows you to characterize the time series system in terms of viscoelastic properties and thermodynamic properties. Here are three of my articles that you may refer:

Int. J. Mod. Phys. C, 20, 1597 (2009). DOI: 10.1142/S012918310901462X

http://www.worldscientific.com/doi/abs/10.1142/S012918310901462X

Physica A, 389(24) 2010 5776–5784. doi:10.1016/j.physa.2010.09.010

http://www.sciencedirect.com/science/article/pii/S0378437110007909

Physica A, 391 (2012) 4637–4653. doi:10.1016/j.physa.2012.04.026

http://www.sciencedirect.com/science/article/pii/S0378437112003408

Hope, they help you more.

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