Variation of fractal dimension of leaves based on stem position

Johann Misterio, Krshna Ravindra, Rene D. Rivero, Henry McCloud, Levelle Burr-Alexander, Nuggehalli Ravindra

Research output: Contribution to journalConference articlepeer-review

Abstract

Utilization of methods based on Euclidean geometry to perform routine measurements of irregular objects could prove to be exceptionally difficult and particularly inefficient. These irregular arrangements such as leaf shapes are called fractals and are more efficiently described within the geometry of fractals. The purpose of the experiment, in the present study, is to examine shapes of plant leaves in relation to their position on the stem in terms of fractal dimensions. The hypothesis suggests that fractal dimension does vary among the leaves located at various positions on the stem. In this experimental study, five samples of Norfolk Island Pine Araucaria Heterophylla plants were obtained and were carefully deprived of their leaves. The fractal dimension of each leaf was determined using the box-count method. Five trials were conducted using five plants. The mean fractal dimensions of each leaf was obtained and then analyzed by ANalysis Of VAriance between groups [ANOVA].

Original languageEnglish (US)
JournalASEE Annual Conference and Exposition, Conference Proceedings
StatePublished - Jan 1 2007
Event114th Annual ASEE Conference and Exposition, 2007 - Honolulu, HI, United States
Duration: Jun 24 2007Jun 27 2007

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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