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Editorial: Fractal Engineering and Biomedicine

A Prelude to Fractal Engineering and Biomedicine

[+] Author and Article Information
Charalabos C. Doumanidis


Department of Mechanical Engineering,
Khalifa University of Science, Technology and Research,
Abu Dhabi, UAE
e-mail: haris.doumanidis@kustar.ac.ae

J. Nanotechnol. Eng. Med 6(4), 040201 (Apr 26, 2016) (3 pages) Paper No: NANO-16-1009; doi: 10.1115/1.4033099 History: Received March 10, 2016; Revised March 15, 2016

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References

Birkhoff, G. D. , 1933, Aesthetic Measure, Harvard University Press, Cambridge, MA.
Borkovec, M. , De Paris, W. , and Peikert, R. , 1994, “ The Fractal Dimension of the Apollonian Sphere Packing,” Fractals, 2(4), pp. 521–526. [CrossRef]
Mandelbrot, B. B. , 1982, The Fractal Geometry of Nature, W.H. Freeman & Co, New York.
Noskov, M. D. , Malinovski, A. S. , Cooke, C. M. , Wright, K. A. , and Schwab, A. J. , 2002, “ Experimental Study and Simulation of Space Charge Stimulated Discharge,” J. Appl. Phys., 92(9), pp. 4926–4934. [CrossRef]
Doumanidis, C. C. , 2009, “ Nanomanufacturing of Random Branching Material Architectures,” J. Microelectron. Eng., 86(4–6), pp. 467–478. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Fractal pattern by viscous fingering of PMMA in acetone over anodized aluminum oxide

Grahic Jump Location
Fig. 2

Generator and Apollonian cloud/Brownian tree fractal as transport paradigm

Grahic Jump Location
Fig. 3

Formation of Lichtenber figure by dielectric breakdown (courtesy: Theodore Gray, http://home.theodoregray.com/)

Grahic Jump Location
Fig. 4

Roxy Paine’s Graft (2008–2009), Sculpture Garden, National Gallery of Arts, Washington, DC

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