Jul. 28th, 2017

mtbc: maze E (black-cyan)
One show I miss from the television of my childhood is the Open University's lectures for distance learners. I have a hazy memory of an interesting sequence of increasing positive integers where it looked as if it was going to be one thing and it turned out to be another. I vaguely recall that for the first six numbers or so the sequence looked arithmetically obvious, like powers of two, but was in fact something else arising from geometry.

Somebody on a helpful online community managed to offer a good hypothesis for what I was trying to remember: from The On-Line Encyclopedia of Integer Sequences we have sequence A000127: Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.

I ought to get around to finding myself some free online streaming that replaces those televised lectures that I welcomed.
mtbc: maze B (white-black)
Television shows about how to cheaply feed one's family are currently popular. I notice that they seem to rely heavily on use of refrigerator and freezer space. A consequence of our being short of money since moving to Scotland is that we do not have a large kitchen with much storage space, cooled or otherwise. It is typically not possible for us to employ cunning strategies that involve buying near-expiry perishable items, using only part and preserving the remainder, nor can we usefully buy in bulk or make multiple day's meals in large batches. It seems that these shows are more suited for those who were somehow able to buy a nice house with generous fittings despite British property prices and only now find themselves having to budget carefully.

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mtbc: photograph of me (Default)
Mark T. B. Carroll

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