Geometric and Complex Analyses of Maya Architecture:
Universidad Autónoma de Zacatecas
Interinstitucional de Investigaciones en Arte y Humanidades
Unidad de Postgrado II. CP 98060 Zacatecas Zac -- México.
Accademia di Architettura.
della Svizzera italiana.
CH-6850 Mendrisio, Switzerland
Ricardo David Valdez-Cepeda
Universidad Autónoma Chapingo.
Regional Universitario Centro Norte Apdo
Postal 196, CP 98001
Zacatecas Zac -- México.
in the Yucatan Peninsula, the ancient Maya civilization occupied
a vast area of Mesoamerica between 2600 BC and 1200 AD. Constructing
thousands of architectural structures and developing sophisticated
concepts surrounding the disciplines of astronomy and mathematics,
the Maya civilization rose to a cultural florescence between
the years 600-800 AD. Although this prosperity reigned for nearly
two centuries, the Maya civilization met with misfortune between
800-900 AD. In order to gain an interpretative perspective on
the fractal analysis of complex geometry and mathematics of Mesoamerican
architecture, this paper contemplates two procedures to describe
fractality and the fractal dimension (Df). In the first procedure
sixteen pyramids were analyzed. The authors studied a data set
that was treated has a fractal profile to estimated the fractal
dimension (Df) through variography (Dv). The estimated Dv = 1.236.
In the second procedure, fourteen pyramids were included and
the estimated Fractal Dimension Dv = 1.312. In the third procedure,
twenty-six pyramids were deciphered and saved as bitmap files.
These images were analyzed with the program "Benoit"
in order to calculate Box (Db), Information (Di) and the Mass
Dimensions (Dm). The estimated general averages were Db = 1.931,
Di = 1...941 and Dm = 1.959. This type of study indicates a relationship
between the cosmological setting and myth.
ABOUT THE AUTHORS
Elizondo: Human Medicine, 1973-78,
School of Medicine, Universidad La Salle, México D.F.
Residence in Internal Medicine, 1979-82, Instituto Nacional de
La Nutrición, México D.F. Master in Phylosophy,
1989-92. Universidad Autónoma de Zacatecas, México.
Doctorate Ph-D in History, 1999-2004. Universidad Autónoma
de Zacatecas, México. Several publications about Fractal
and Chaos Theory applied to Mesoamerican Art and Architecture,
from 2001 to 2004. Author of a book about Chaos Theory and Medicine
and Psychology published by the University of Zacatecas, 1999.
Sala has received her degree in
Physics, applied cybernetics, at State University of Milan, Italy.
Ph-D in Communication Science at Università della Svizzera
italiana of Lugano, Switzerland. Postgraduates (each two years)
in :"Didactics of the communication and multimedia technologies"
and "Journalism and mass media". She teaches Mathematics
Thought and Computer Graphics and New Media at the Academy of
Architecture of Mendrisio, Switzerland. She is co-editor of the
Chaos and Complexity Letters International Journal of Dynamical
System (Nova Science, New York). She studies the interconnection
between mathematics, fractal geometry and architecture. She has
written 14 mathematics and information Technology textbooks and
several scientific papers dedicated to the complexity and fractal
geometry in arts and architecture.
Valdez-Cepeda: Engineer in Agronomy.
Master and Doctor PhD. in Agronomy. He applied the fractal geometry
in different research fields. He works at the Universidad Autónoma
The correct citation for
this paper is:
Burkle-Elizondo, Nicoletta Sala, Ricardo David Valdez-Cepeda,
"Geometric and Complex Analyses of Maya Architecture: Some
Examples", pp. 57-68 in Nexus V: Architecture and Mathematics,
ed. Kim Williams and Francisco Delgado Cepeda, Fucecchio (Florence):
Kim Williams Books, 2004. http://www.nexusjournal.com/conferences/N2004-BurSalVal.html
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