Category Archives: Scaling

X and the City

Years ago, in 1976 as many of my CASA compatriots know, I was involved in a series of TV programmes called “Modelling by Mathematics”. This was an Open University first level course to teach technology students some ideas about mathematics, … Continue reading

Posted in Economies of scale, Flows, Networks, power laws, Scaling | Leave a comment

To Understand Is To Perceive Patterns

Jason Silva’s wonderful demonstration of patterns and order across many evolving spatial systems is what our science of cities is all about: flows, interactions, dynamics, self-similiarity, hierarchy and of course fractals. Take a look. These patterns swirl around all our … Continue reading

Posted in Flows, Fractals, Hierarchy, Interactions, Scaling | Leave a comment

Click left for the lecture or above on Lecture 7. More on entropy and information here, and I rework some of the material of Lecture 6. Note the random collisions model and run Chen’s online movie and have look at … Continue reading

Posted in Entropy, Flows, Information, rank size, Scaling | Leave a comment