Skip to main content

Flatterland - Ian Stewart ***

Ian Stewart's Flatterland has been around since 2001, but I've only just come across it. It is, of course a sequel to the famous novella Flatland by Edwin Abbott Abbott dating back to 1884. The original Flatland is perhaps the archetype of a book that is based on a brilliant idea, but be distinctly dreary to read. So the key question here is whether Stewart escaped this limitation in his sequel.

We start here with the (literally, not metaphorically) two-dimensional characters familiar to anyone who has read Flatland. The original both explored the nature of existing in two dimensions (and how the inhabitants would see a three-dimensional object), and provided Victorian social commentary, with female Flatlanders both physically different to males (lines, rather than polygons) and limited in what they can do by society. Stewart only mentions the social side in passing, but instead focuses on mathematical experiences.

Guided by a space hopper (the 60s bouncy toy), the central character Victoria Line is taken out of Flatland to experience a wide range of different mathematical spaces. They start off with the conventional three-dimensional space Vicky's ancestor came across (the original book was supposedly written by A. Square, who Stewart tells us was Albert Square) but then go on to a whole range of different mathematical spaces, from fractal space to topological space, finishing off by straying into physics by bringing in Schrödinger's cat, Minkowski space and time travel via the special and general theories of relativity.

All the way through, Stewart seems to be trying to outdo Abbott's weak attempts at humour by piling on cultural references (we've seen a couple above) and resorting to often excruciating puns. This can be distinctly wearing for the reader, though there are occasional gems such as 'he was the black shape of the family'.

If you can cope with the barrage of irritating humour, some parts of the book work really well at introducing concepts such as topology - this section is based in part on the Mad Hatter's tea party in Alice's Adventures in Wonderland. In fact, Stewart clearly takes a significant lead from mathematician Lewis Carroll's approach, though unfortunately lacks Carroll's peak writing skills. This is more Sylvie and Bruno than Alice or Snark. Other parts of the book, though, fail to get the message across. We are dealing here with quite abstruse mathematical concepts and while the portrayal through various characters and their worlds make good use of those concepts in you already know them, they don't act as a useful introduction, leaving the reader potentially baffled.

Like the original Flatland, this is an interesting and innovative attempt. It has always seemed that fiction should be a good route to explain science or maths painlessly and entertainingly. But for me, the painful punning and the relentless jokiness was too much, while the exposition was often not clear enough to do the job. A for effort, though.

Paperback:  
Using these links earns us commission at no cost to you
Review by Brian Clegg
Labels:

Comments

Post a Comment

Popular posts from this blog

The Decline and Fall of the Human Empire - Henry Gee ****

In his last book, Henry Gee impressed with his A (Very) Short History of Life on Earth - this time he zooms in on one very specific aspect of life on Earth - humans - and gives us not just a history, but a prediction of the future - our extinction. The book starts with an entertaining prologue, to an extent bemoaning our obsession with dinosaurs, a story that leads, inexorably towards extinction. This is a fate, Gee points out, that will occur for every species, including our own. We then cover three potential stages of the rise and fall of humanity (the book's title is purposely modelled on Gibbon) - Rise, Fall and Escape. Gee's speciality is palaeontology and in the first section he takes us back to explore as much as we can know from the extremely patchy fossil record of the origins of the human family, the genus Homo and the eventual dominance of Homo sapiens , pushing out any remaining members of other closely related species. As we move onto the Fall section, Gee gives ...
Post a Comment
Read more

The Autobiography – Charles Darwin ****

I have to confess to putting off reading this book until the last moment, as I expected it to be a typical piece of Victorian sentimental unreadable stodge. I was wrong. Darwin’s little book (only 150 small pages with appendices) was originally written for his own children, and displays a very personal style of writing – though, as son Francis comments, his style was always more populist than was common then: “In writing he sometimes showed the same strong tendency to strong expressions that he did in conversation. Thus in the Origin, p440, there is a description of a larvel [sic] cirripede ‘with six pairs of beautifully constructed natatory legs, a pair of magnificent compound eyes and extremely complex antennae’. We used to laugh at him for this sentence, which we compared to an advertisement.” The main book is delightful because it demonstrates Darwin’s self-depreciating modesty, and the fascinating path he took from enthusiastic shooter of game, to amateur geologist (still his...
Post a Comment
Read more

Zero Degrees of Empathy [The Science of Evil] – Simon Baron-Cohen ***

I’ve been a real fan of previous books by Simon Baron-Cohen like  The Essential Difference , so opening this was one was a pleasant prospect. What I found was a book that wasn’t  bad … but that could have been a lot better. I got the impression of a book that had been rushed out without a lot of work going into it. The thesis at the heart of the book – that one of the important ‘circuits’ of the brain is the one dealing with empathy, and that individuals sit on an empathy spectrum, with some residing at zero degrees of empathy – is an interesting one. Baron-Cohen introduces us to three key personality types he defines as ‘zero-negative’ including psychopaths, plus types that are ‘zero-positive’ like those with Asperger’s. In a way both of these definitions are odd, in that his zero-negatives can actually have a lot of the kind of empathy that involves being able to read another person’s emotional state, and his zero-negatives can have a lot of the kind of empathy i...
Post a Comment
Read more