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If liquid starts at the top of some porous material, will it be able to filter to the bottom? This is the kind of question analysed in Percolation theory, applicable to coffee making and material science. Consider a lattice of points, with edges deleted with a fixed probability. The threshold probability for us to expect an arbitrarily large air pocket is known in two dimensions, in dimensions larger than 18, but not known inbetween.  [more] [graph] [code]

If liquid starts at the top of some porous material, will it be able to filter to the bottom? This is the kind of question analysed in Percolation theory, applicable to coffee making and material science. Consider a lattice of points, with edges deleted with a fixed probability. The threshold probability for us to expect an arbitrarily large air pocket is known in two dimensions, in dimensions larger than 18, but not known inbetween.  [more] [graph] [code]

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Matt Henderson

I post original stuff about maths, space, computational linguistics and other things that I like. This blog is meant to be accessible and interesting to people of all backgrounds. My undergrad was maths in Cambridge, and I'm now starting research in Speech and Language technology. Email me at If you're new, check out this overview of my posts. All code posted is in Mathematica.

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