Book contents
- Frontmatter
- Contents
- Foreword: New Directions in Computer Graphics: Experimental Mathematics
- Preface to the German Edition
- 1 Researchers Discover Chaos
- 2 Between Order and Chaos: Feigenbaum Diagrams
- 3 Strange Attractors
- 4 Greetings from Sir Isaac
- 5 Complex Frontiers
- 6 Encounter with the Gingerbread Man
- 7 New Sights – new Insights
- 8 Fractal Computer Graphics
- 9 Step by Step into Chaos
- 10 Journey to the Land of Infinite Structures
- 11 Building Blocks for Graphics Experiments
- 12 Pascal and the Fig-trees
- 13 Appendices
- Index
9 - Step by Step into Chaos
Published online by Cambridge University Press: 30 March 2010
- Frontmatter
- Contents
- Foreword: New Directions in Computer Graphics: Experimental Mathematics
- Preface to the German Edition
- 1 Researchers Discover Chaos
- 2 Between Order and Chaos: Feigenbaum Diagrams
- 3 Strange Attractors
- 4 Greetings from Sir Isaac
- 5 Complex Frontiers
- 6 Encounter with the Gingerbread Man
- 7 New Sights – new Insights
- 8 Fractal Computer Graphics
- 9 Step by Step into Chaos
- 10 Journey to the Land of Infinite Structures
- 11 Building Blocks for Graphics Experiments
- 12 Pascal and the Fig-trees
- 13 Appendices
- Index
Summary
The people of Bremen are used to all kinds of weather. But what happened in the summer of 1985 in Bremen exceeded the proverbial composure of most inhabitants. On the 24th of July the telephone in the weather office was running hot. Angry callers complained about the weather forecast which they had read in the morning in the Weserkurier. There, a day later, you can read a lengthy article on the summer weather:
‘Lottery players discover twice a week whether they have landed a jackpot or a miserable failure. The game of Bremen weather can now be played every day. For example, whoever took yesterday's forecast from the Bremen weather office as the basis of his bet may as well have thrown it down the drain. Instead of “heavy cloud and intermittent rain with temperatures of 19” we got a beautiful sunny summer's day with blue skies, real bikini weather.’
What happened to make the meteorologists go so wrong, and what does it have to do with complex systems and the concept of chaos?
The starting point for any weather forecasts is the synopsis, that is, a survey of the current weather over a large area. The basis for this is measurements and observations from weather stations on land or at sea. For example, every day radiosondes climb into the atmosphere, and during their climb to almost 40 km in altitude they measure temperature, humidity, and pressure. A whole series of parameters such as pressure, temperature, dewpoint, humidity, cloud cover and windspeed are collected in this manner and input into a forecasting model, which is calculated with the aid of high-speed supercomputers.
- Type
- Chapter
- Information
- Dynamical Systems and FractalsComputer Graphics Experiments with Pascal, pp. 231 - 246Publisher: Cambridge University PressPrint publication year: 1989