Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 10, Iss. 1, January, 2006, pp. 105-122
@2006 Society for Chaos Theory in Psychology & Life Sciences


Fractal Analysis of Mesoamerican Pyramids

Gerardo Burkle-Elizondo, Universidad Autónoma de Zacatecas, Mexico
Ricardo David Valdez-Cepeda, Universidad Autónoma Chapingo, Centro Regional Universitario Centro Norte Apdo, Mexico

Abstract: A myth of ancient cultural roots was integrated into Mesoamerican cult, and the reference to architecture denoted a depth religious symbolism. The pyramids form a functional part of this cosmovision that is centered on sacralization. The space architecture works was an expression of the ideological necessities into their conception of harmony. The symbolism of the temple structures seems to reflect the mathematical order of the Universe. We contemplate two models of fractal analysis. The first one includes 16 pyramids. We studied a data set that was treated as a fractal profile to estimate the Df through variography (Dv). The estimated Fractal Dimension Dv = 1.383±0.211. In the second one we studied a data set to estimate the Dv of 19 pyramids and the estimated Fractal Dimension Dv = 1.229+/-0.165.

Keywords: fractal dimension, fractal, Mesoamerican pyramids, cosmovision, variogram, architecture