The Geometrical Beauty of Plants

ISBN-13: 9789462391505 / Angielski / Twarda / 2017 / 229 str.

Johan Gielis

Opis

This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. 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...) .

Recenzje

"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)

Spis treści

1.Universal Natural Shapes.- 2.Towards a geometrical theory of morphogenesis.- 3.-1,-2,-3......,Understand The Legacy.- 4.Lamé curves and surfaces.- 5.Gielis curves, surfaces and transformations.- 6.Pythagorean-compact. - 7.Generalized intrinsic and extrinsic lengths in submanifolds.