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Mathematica code for least-squares cone fitting and equal-area stereonet representation

Kieran F. Mulchrone
Organization: University College, Cork, Ireland
Department: Department of Applied Mathematics
Daniel Pastor-Galan
Gabriel Gutierrez-Alonso
Journal / Anthology

Computers &Geosciences
Year: 2013
Volume: 54
Page range: 203210

In structural geology it is often assumed that folds are cylindrical. However, most structures are conical to some degree. Due to the lack of software capable of accurately estimating the best fit cone from a set of oriented data, we developed a Mathematica application capable of(1) plotting oriented data(lines and planes)on an equal area stereonet,(2) calculating the orientation matrix,the distribution shape and intensity parameters,(3)plotting the eigenvectors and(4)estimating and plotting the best fit cone, a small circle. We present both synthetic and natural data demonstrating its robustness and accuracy calculating the best fit cone.

*Science > Geology and Geophysics