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On Growth and Form: The Complete Revised Edition
D'Arcy Wentworth Thompson
- 23 Jun 1992
270
About: The article was published on 23 Jun 1992. and is currently open access.
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Citations
The Mathematics of Soap Films: Explorations with Maple®
John Oprea
- 22 Aug 2000
TL;DR: The mathematics of soap films The calculus of variations and shape Maple, soap films and minimal surfaces Bibliography Index as mentioned in this paper is a good starting point for a quick trip through differential geometry and complex variables.
Mechanics dictate where and how freshwater planarians fission.
Paul Malinowski,Olivier Cochet-Escartin,Kelson Kaj,Edward Ronan,Alex Groisman,Patrick Diamond,Eva-Maria S. Collins +6 more
TL;DR: The results demonstrate that where and how a planarian rips itself apart during asexual reproduction can be fully explained through biomechanics.
Geometric analysis of continuous, planar shapes
Anuj Srivastava,Washington Mio,Eric Klassen,Shantanu H. Joshi +3 more
- 07 Jul 2003
TL;DR: Two differential geometric representations of planar shapes are proposed using: direction functions and curvature functions, of their boundaries, and pairwise differences between the shapes are quantified using the lengths of geodesics connecting them on the shape spaces.
Back to the future: evolution of computational models in plant morphogenesis
TL;DR: A diversity of theoretical models are categorized and the need to tailor modeling approaches to the questions at hand is emphasized, showing that this entire spectrum of models can be useful to understand plant development.
Emergence of Complex Structures by Spontaneous Cessation of Diffusion in Self-Organizing Systems
TL;DR: In this paper, the authors present a method for generating and sustaining complex structures and patterns in diffusion-driven self-organizing systems. But, the method is challenging in the face of indefinite continuance of diffusion.
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