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Index
Preface Foreword Acknowledgements Chapter 1 • Tensegrity
Introduction
What is it?
The origins of tensegrity
The exhibition
Karl Ioganson
The architects
David Emmerich Buckminster Fuller
The sculptor
Kenneth Snelson
The beginning of an idea
Building the tradition A new perception The geodesic dome
The functional sphere
The bicycle wheel A combined effort
Chapter 2 • Simple geometry in complex organisms
A 'new' approach to geometry: one that nature already 'knows' about
The rules of physics
Triangulating a hexagon Close-packing the shapes
The Platonic polyhedra
A dynamic structural system
The tetrahedron The octahedron The cube
The isotropic vector matrix and vector equilibrium
The icosahedron The dodecahedron
The geometry of living structure
The jitterbug
Chapter 3 • The balance of unseen forces
The tensegrity model
T-prisms T-helixes The T-6 sphere and tensegrity-icosahedron
The simple complexity of tensegrity
Structure and energy
Structural hierarchies
A pattern for all the others
Chapter 4 • The problem with mechanics
The laws of classical mechanics
Stress and strain Scaling up in size The consequences A glimmer of hope The important bits are missing!
A different sort of geometry
Biomechanics
The broken lever A changing paradigm
Bio-tensegrity
The kinematic chain
Closed-chain kinematics Tensegrity kinematics
The problem solved!
Chapter 5 • The autonomous cell
The cytoskeleton
Regulating the cell Shaping the balance
Linking the 'inside' with the 'outside'
The development of tissues The movement of cells The development of complex patterns
The cellular integrator
Chapter 6 • The twist in the tale
The helix
The molecular helix
Complex hierarchies
Spectrin Collagen
The helical tube Tubes within tubes within tubes…
The myofascial tube The body wall
A more fundamental kind of geometry
Stirring the pot
Chapter 7 • The ease of motion
Replacing the old with the new
Dinosaurs and the Forth Bridge
Snelson’s tower
The vertebrate spine
The biotensegrity joint
The wheel
Floating sesamoids
A little bit of space
The knee Sliding surfaces
A note of caution
A bit more detail
The elbow
Something rather peculiar is going on A respectable function
A little resumé
Chapter 8 • The hard and the soft
The cranial vault
The geometric model
Straight into curves Anatomical basics
Embryonic development The integrated cranium Cranial pathologies
The avian lung
Hierarchical anatomy The tensegrity wheel model
The story so far
Chapter 9 • A closer look
Tension and compression
Attraction and repulsion Pull and push The possibilities are endless
Cables and struts
The lost strut
Simple evolving into complex
A search for the missing compression It is all about perspective
Straight or curved
Reducing the stress Spherical geometry
The nuances of anatomy
Chapter 10 • ‘Complex’ patterns in biology
The rhombic dodecahedron The Fibonacci sequence and Golden Mean
Equivalence
Quasi-equivalence and the spherical viruses Penrose tiling
The fractal The connecting links
Quasicrystals Higher dimensions Hyperbolic geometry What does it all mean?
Chapter 11 • Biotensegrity: a rational approach to biomechanics
The skeleton
Bones Muscles Connective tissues
The fascia The microvacuolar system
A new reality
Mesokinetics Unravelling the old ideas
A misplaced wisdom A global synergy
The simple complexity of motion
The dynamics of movement
The control of motion
Functional kinematics
A shift in balance
Therapeutics
A change in perception The biotensegrity model
A cautionary note
Basic science
Chapter 12 • Biotensegrity: the structural basis of life
First principles
The Platonic shapes and where they lead to
The helix The icosahedron
Developmental evolution
The emergence of structure The survival of the fittest
The biotensegrity model
The wheel Multiple geometries The ‘complex’ model and beyond
The functional human
The unseen core
Biotensegrity: the functional basis of life
Appendix Figure sources and permissions Glossary References Index
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