Geometric Systems
This is the second block of the workshop series GMU:Self-Organisation by Design
Theory
A Geometric System is a Self-Organizing System where mobile units have a geometric representation in space.
Geometric Systems are natural extensions of Particle Systems, but they require more complex calculations to
determine interactions, relying on distance computation and collision detection.
We will use the term Physical Geometry to refers to systems where a set of physical laws governs the interaction between units. In our course we will create physical geometry from scratch, but also and learn how to harness the power of physics libraries.
Finally Chemical Geometry shall be used to identify systems where the laws of interaction are goverened by properties of the chemical units, giving rise to complexity not available in Physcial Geometry. We will explore the assembly of mobile units, as well as folding of connected units, inspired by research in self-assembly and protein folding.
Topics
- Physical Geometry
- Distance Calculation
- Collision Detection
- Chemical Geometry
- Self-Assembly
- Folding
Software
This section will contain links to relevant software.
Links
This section will contain links to relevant articles.
Experiments
This section will contain links to subpages and experiments of the participants.
Literature
Popular Science Books
- Eigen, Manfred: Das Spiel: Naturgesetze steuern den Zufall ISBN 978-3492021517
- Polesko, John A.: Self Assembly: The Science of Things That Put Themselves Together ISBN 978-1584886877
Mathematics of Folding
- O'Rourke Joseph: How to Fold It: The Mathematics of Linkages, Origami and Polyhedra ISBN 978-0521145473
- Demaine, Erik; O'Rourke, Joseph: Geometric Folding Algorithms: Linkages, Origami, Polyhedra ISBN 978-0521857574
Mathematics of Tiling
- Grünbaum, B., Shepard G.C.: Tilings and Patterns ISBN 978-0716711933
- Bigalke Hans G.: Reguläre Parkettierungen. Mit Anwendungen in Kristallographie, Industrie, Baugewerbe, Design und Kunst ISBN 978-3411167111
Geometric Programming
- Paoluzzi Albertoo: Geometric Programming for Computer Aided Design ISBN 978-0471899426 (PLASM – now ported to Python and Javascript!)
- Havemann, Sven: Generative Mesh Modeling online (Generative Modelling Language)
Evolutionary Design
- Todd Stephen, Latham William: Evolutionary Art and Computers ISBN 978-0124371859
- Bentley, Peter: Evolutionary Design by Computers ISBN 978-1558606050
- Corne David W., Bentley Peter J.: Creative Evolutionary Systems ISBN 978-1558606739
Media Art, Craft and Architecture
- Marcks, Laura: Enfoldment and Infinity: An Islamic Genealogy of New Media Art ISBN 978-0262014212
- Millington Jon: Curve Stitching: The Art of Sewing Beautiful Mathematical Patterns ISBN 978-0906212653
- Sabin, Jenny: MEANDER – Variegating Architecture ISBN 978-1934493090