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This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. It is shown how these transformations, as a generalization of the Pythagorean Theorem, play an essential role in plant morphology and development. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration...) . The book illustrates how form, development and evolution of plants unveil as a musical symphony. The reader will gain insight in how the methods are applicable in many divers scientific and technological fields.
List of contents
1.Universal Natural Shapes.- 2.Towards a geometrical theory of morphogenesis.- 3.-1,-2,-3......,Understand The Legacy.- 4.Lamé curves and surfaces.- 5.Gieliscurves, surfaces and transformations.- 6.Pythagorean-compact. - 7.Generalized intrinsic and extrinsic lengths in submanifolds.
Summary
This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. It is shown how these transformations, as a generalization of the Pythagorean Theorem, play an essential role in plant morphology and development. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration...) . The book illustrates how form, development and evolution of plants unveil as a musical symphony. The reader will gain insight in how the methods are applicable in many divers scientific and technological fields.
Additional text
“The book is a monograph describing his research into the mathematical principles underlying plant morphology originally prompted by his study of the cross-sectional shapes of bamboo stems. … This book should be of interest to anyone who works in biological morphology because it describes a quantitative way of describing biological shapes.” (Computing Reviews, March, 2018)
Report
"The book is a monograph describing his research into the mathematical principles underlying plant morphology originally prompted by his study of the cross-sectional shapes of bamboo stems. ... This book should be of interest to anyone who works in biological morphology because it describes a quantitative way of describing biological shapes." (Computing Reviews, March, 2018)
