Fractal geometry: A consolidated tool for imagination
DOI:
https://doi.org/10.17533/udea.vitae.17991Abstract
Since the very first attempts performed by the human brain for acquiring information about the surrounding world, priority is usually given to the information received by visual channels, i.e. by the eyes. It is interesting the proportion of human cerebral cortex destined for processing the stimuli captured by the photo-sensors contained in the retina, ranging 55%. According to several authors (1-4), the human learning process involves the association of each stimulus received by the different transduction assemblies composing the five senses to an image or, even, to a specific intricate memory. This has derived in formulating research works about how the brain develops the processes of creation and imagination. Therefore, the complexity of the well-known capacity of children for drawing in the mind (or in a piece of paper) a picture of an imaginary creature, and defining how it smells, hears, tastes, and touches, is astonishing. Having fun making an imaginary creature does not necessarily imply an easy task for the human brain, especially if the thinker of such an imaginary creature goes deeper into deciding if the creature becomes an opponent or a friend. In turn, the learning process may result affected when the visual channels do not work properly. Some studies have shown that lack of visual experience delays the physiological development of cognitive, social and linguistic skills in blind children. Although this might signify a serious disadvantage for an adequate brain development, there exist reports indicating that cerebral processing of shapes, spatial perception and imagery occurs in the same way and in the same highly-specialised visual areas, despite the sensory channels through which the information is acquired, in both blind and non-blind individuals. Furthermore, it is possible to mention many examples of blind persons noticing some aspects that the non-blind ones do not recognise.
Downloads
References
Rolls ET. Vision, emotion and memory: from neurophysiology to computation. International Congress Series. 2013 Sep 30; 1250: 547-573.
Ricciardi E, Bonino D, Pellegrini S, Pietrini P. Mind the blind brain to understand the sighted one! Is there a supramodal cortical functional architecture? Neurosci Biobehav R. 2013. In press.
Felleman DJ, Van Essen DC. Distributed hierarchical processing in the primate cerebral cortex. Cereb Cortex. 1991; 1 (1): 1-47.
Murray MM, Herrmann CS. Illusory contours: a window onto the neurophysiology of constructing perception. Trends Cogn Sci. 2013 Aug 06; 17 (9): 471-481.
Tobin MJ. Is blindness a handicap? Br J Spec Educ. 1998; 25: 107–113.
Peterson CC, Peterson JL, Webb J. Factors influencing the development of a theory of mind in blind children. Br J Dev Psychol. 2000 Sep; 18 (3): 431-447.
Keller HA. Story of my life. E-book 2397. 2000. Project Gutenberg at.
Mandelbrot BB. The fractal geometry of nature. W. H. Freeman and Company. NY, USA. 1982. 468 p.
Peleg M. Fractals and foods. Crit Rev Food Sci. 1993 Sep 29; 33 (2): 149-165.
Damrau E, Normand MD, Peleg M. Effect of resolution on the apparent fractal dimension of jagged force-displacement relationships and other irregular signatures. J Food Eng. 1997; 31: 171-184.
Meraz-Torres LS, Quintanilla-Carvajal MX, Téllez-Medina DI, Hernández-Sánchez H, Alamilla-Beltrán L, Gutiérrez-López GF. Water droplet spreading and recoiling upon contact with thick-compact maltodextrin agglomerates. J Sci Food Agr. 2011; 91 (14): 2594-2600.
Tunick MH, de Mejía EG (ed.). Hispanic Foods: Chemistry and Bioactive Compounds. ACS Symposium Series. Washington DC, USA. 2012. Tapia AP, Téllez DI, Perea MJ, Ortiz E, Dávila G. Microstructure of mature green mexican vanilla pods Vanilla planifolia (andrews) by microscopy techniques and digital image analysis. Chapter 10. Vol. 1109. p. 161-171.
Reid DS, Sajjaanantakul T, Lillford PJ, Charoenrein S (ed.). Water properties in food, health, pharmaceutical and biological systems: ISOPOW 10. Wiley-Blackwell. Singapur. 2008. Téllez-Medina DI, Ortiz-Moreno A, Chanona-Pérez JJ, Alamilla-Beltrán L, GutiérrezLópez GF. Evaluation of the disintegration and diffusion of pharmaceutical solid matrices by image processing and non-linear dynamics. p. 515-521.
Téllez-Medina DI, Byrne E, Fitzpatrick J, Catak M, Cronin K. Relationship between mechanical properties and shape descriptors of granules obtained by fluidized bed wet granulation. Che Eng J. 2010 Nov 01; 164 (2-3), 425-431.
Santacruz-Vázquez V, Santacruz-Vázquez C, López ST, Laguna-Cortés JO. Cambios morfométricos de la superficie de esferas de melón (Cucumis melo cantalupensis) durante el secado por fluidización. Vitae. 2013 Sep.-Dic.; 20 (3): In press.
Simons SJR. Modelling of agglomerating systems: from spheres to fractals. Powder Technology. 1996; 87: 29-41.
Plotnick RE, Gardner RH, O’Neill RV. Lacunarity indices as measures of landscape texture. Landscape Ecol. 1993; 8 (3): 201–211.
Downloads
Published
How to Cite
Issue
Section
License
Copyright Notice and Open Access Statement
The Journal Vitae works under the Open Access license, and the published manuscripts remain available for the public, both on the Journal's website and in databases, under the Creative Commons license, "Noncommercial Attribution" and "Share alike" systems, adopted in Colombia. Hence, when the authors agree to publish in the Journal Vitae, they will not have the right to economic retributions on publications and reproductions through different diffusion media. The documents are freely available to the internet public, permitting users to read, download, copy, distribute, print, search, or link to the full texts and pass them as data to software. The only constraint on reproduction and distribution, should be to give authors control over the integrity of their work and the right to be appropriately acknowledged and cited.
Authors declare that:
-
They are the intellectual property owners and are responsible for all the information stated in the article.
-
This manuscript has not been submitted or published in other printed or digital media. They accept the responsibility for the judgments, opinions, and points of view expressed in the published article and, therefore, they exonerate Universidad de Antioquia and Journal Vitae from any process.
-
They exempt Universidad de Antioquia and Journal Vitae from settling conflicts or disputes related to the authorship of the referred article.
-
They accept the revision of the original manuscript by suitable personnel, and they bind themselves to perform the corrections appointed or suggested by the assessors.
-
Therefore, they know the editorial process and will not bind the Editorial Board of the Journal to assume any obligations regarding the volume and issue in which the article is published.
-
They transfer the rights of publication, reprinting, and distribution of the article from the moment of its approval, in print and digital format, without the right to economic rewards, and under the licensing conditions considered relevant by Journal Vitae.
-
They fully authorize Universidad de Antioquia and Journal Vitae to submit the published material to the diverse databases and indexing systems where the Journal can be found to comply with the requirements of the regulatory authorities to maintain the national classification of journals.
-
They will assume the article publication costs established for the current issue, and they will make the payment as soon as they are informed about the volume and the issue in which the final version of the article is published.
-
After the article is published, you can share digital or printed copies in a noncommercial manner. You will be able to use the paper in your institution or company for educational or research purposes, including the use in course programs.
Conflict of interest: Authors are responsible for recognizing and disclosing any financial or other benefits that could be perceived to bias their work, acknowledging all financial support and any personal connections with potential sponsors. Examples of such conflicts include receiving research funds or honoraria, serving on advisory boards, stock ownership, or employment and consulting arrangements. Authors without such connections should clearly state that they have no financial support or personal relationships that could be perceived to bias their work. All conflicts of interest should be disclosed on the author's identification page of the manuscript.