Event Title
Fractal Geometry and its Correlation to the Efficiency of Biological Systems
Presentation Type
Oral and/or Visual Presentation
Presenter Major(s)
Mathematics
Mentor Information
Edward Aboufadel
Department
Mathematics
Location
Kirkhof Center 2270
Start Date
10-4-2013 12:00 AM
End Date
10-4-2013 12:00 AM
Keywords
Life Science, Mathematical Science
Abstract
Fractal geometry is a branch of mathematics that deals with, on a basic level, repeating geometric patterns that scale according to some rule or scaling factor. By observing the many facets of fractal geometry, including fractal dimension and points within fractal sets, we can draw comparisons to real-world phenomena. Fractal geometry appears in nature and biological systems where efficiency is needed, such as the surface area of the brain or lungs, or the branching patterns of leaves on a tree. This report examines the fractal geometry that exists within these biological systems, and how it relates to their overall output and efficiency. We will be gathering our information from print and online sources, from both mathematical and biological perspectives. By this project, we hope to gain a better understanding of the many ways mathematics permeates our universe, and how these correlations help to explain the seemingly infinite complexity of life.
Fractal Geometry and its Correlation to the Efficiency of Biological Systems
Kirkhof Center 2270
Fractal geometry is a branch of mathematics that deals with, on a basic level, repeating geometric patterns that scale according to some rule or scaling factor. By observing the many facets of fractal geometry, including fractal dimension and points within fractal sets, we can draw comparisons to real-world phenomena. Fractal geometry appears in nature and biological systems where efficiency is needed, such as the surface area of the brain or lungs, or the branching patterns of leaves on a tree. This report examines the fractal geometry that exists within these biological systems, and how it relates to their overall output and efficiency. We will be gathering our information from print and online sources, from both mathematical and biological perspectives. By this project, we hope to gain a better understanding of the many ways mathematics permeates our universe, and how these correlations help to explain the seemingly infinite complexity of life.