Future Fantasy

June 17, 2009

Lets suppose we achieve the impossible, a world in which only the human endeavour necessary goes into the essentials. Food, shelter and so on. Where the remainder of our time and energy as a species is available to do what we will. What should it be spent on. I thought I would allow myself a little fantasy time and write some things down. Its not an ordered list, or an exclusive one, there are many overlaps. Its also a list for the whole of humanity, not everyone will do everything, but these are some of the things I hope people would be doing more of:

1. 10,000 hour skills, and not just useful ones. The lost ones. Going round the science museum recently I was struck by all the lost expertises. How many people these days knows how to make a mechanical integrator for a tape based differential equation solver? Lets have more people who can thatch a roof to perfection or create ornate plasterwork.

2. Learning. For its own sake, just for the joy of knowing. Learning both in the sense of being taught established knowledge and studying to make new knowledge, to increase our knowledge of the world. Past, present and future…

3. Lazing around. Just because there are workaholics like me who can often only get satisfaction from doing something does not mean everyone is like that. Some people really do get honest and simple pleasure from lying on the beach, that should be celebrated.

4. Family time. Not “quality time with the kids” but doing whatever it is you want to do together. Dinner, walk in the park, football match, being there not because you should, but because you want to.

5. Drinking great beer and wine, eating good food, which of course requires that people make more of it! Down with processed crap and McDonalds!

6. Random monkey noises, any world would be better with more random monkey noises.

7. Journalism. Yes, journalism. The thing that is meant to be being killed by twitter and blogs. Not the journalism of oracles speaking from hidden sources, but people who dip into the flow of information and process it, comprehend it and pass it on. Who do the hard job of working out what is happening right now.

8. Sport. Both to watch and to play.

9. Computer games, writing but also playing. If someone can be honest with themselves and get fulfillment in a virtual world good on them.

10. Getting excited and making things.

And to finish the most important one of them all:

11. Extending this list, finding that collection of things that fulfills you honestly and completely. To sum it up finding what has meaning to you personally not just some value decided by society.


Future of the LMS

June 4, 2009

I have just posted on the Save the LMS blog. I will repeat it here. A little bit of back story. Towards the end of last year the leaderships of the London Mathematical Society (LMS) and the Institute of Mathematics and its Applications (IMA) announced they would be merging to form a unified mathematics society. This was the first that I had heard (as an LMS member), but I will admit that I often do not follow these things closely.  This year a movement formed within the LMS to vote against the merger, eventually being sucessful at a second SGM, you can read notes on the meeting here and here.

Now for my thoughts on what happened and what needs to happen:

I am a younger mathematician and a proud member of the LMS.  My initial feeling on hearing of the merger was a slight sadness at the loss of tradition, with an acceptance that things sometimes have to change. Perhaps at this moment mathematics might be better served by a single organisation. To close something that has survived a long time, however, requires a higher level of argument. One should be convinced that it will never be of use. Not that it is the preferred tactical option, in the current situation. Though many good arguments were made for the merger they did not convince me to this high standard and so I voted against.

At this stage the debate was still quite reasonable. Through the referendum and the two meetings however something has gone horribly wrong.  I am going to be blunt. One of the key points in this debate is how best to present mathematics to government. If we try to do that with the blinkered and unsubtle approaches that appeared in some of this debate we are in trouble.

It is true that mathematics needs representation, but we should think about why that is. Is it because we want to keep nice cushy jobs playing with puzzles?  Or is it because we feel that mathematics is of value to society and humanity? If it is the second then we should be careful about changing. Especially to accommodate what we think outside voices might want. Instead we should have faith in the value of what we have, but get as many voices as possible selling it. I wrote in the IMA’s Mathematics Today about the responsibility mathematicians have to take our skills into wider science.  There are currently far many more exciting opportunities for mathematics than there are dangers.

This goes beyond talking to academics in other departments, however. Below all the hype of the internet it is slowly changing the way we communicate.  Nobody knows exactly how this will work out, but it is likely to lead to wider participation. This decentralisation of information will reduce the importance of central voices talking to the “right” people. We need to be careful not to be fighting the old battles. The more people who know the importance of mathematics the better. To achieve this we do not need one unified big voice, we need one million small voices.


Unscheduled Post: The Silver Ratio

May 20, 2009

John Cook on The Endeavour has just mentioned the wonderful silver ratio. As this is probably my favourite number I can’t resist the chance to put up some pictures. The silver ratio: \Psi = 1+\sqrt{2}, is as John mentions the value of the continued fraction with just 2’s, it is also the larger solution of the equation \Psi^2 - 2 \Psi - 1. This goes directly into its geometric interpretations, as the diameter of an octagon and the size of a rectangle that gives a smaller version of itself when you remove two squares:

Oct_and_rect

Geometric interpretations of the Silver Ratio.

In terms of tiling the golden ratio of course has the Penrose tiling, with its five fold rotational symmetry, the silver ratio plays the same role for the Ammann-Beenker tiling, with 8-fold rotational symmetry:

Ammann_Scaling_bb

Version of my Ammann-scaling artwork

In fact if you find things with 8-fold rotation (Islamic art for example) the silver ratio will be lurking around. I have a personal theory that the silver ratio was as much in Christopher Wren’s work as the golden. I have not studied it in depth, the floor under the great dome of St. Paul’s has an giant octagon. Anyone know any good studies that might mention this, it would be good to have evidence!

Silver_circles


How do shapes fill space?

May 17, 2009

One of my main activities at the moment is making toys and materials for an interactive tilings and geometry exhibit at the this year’s Royal Society Summer Science Exhibition.  The title is above. Lots of fun but also hard work. As I recently sent the flyer to the printer I thought it was a good time to annouce it here. So, if you are in London, why not visit us there from the 30th of June to the 4th of July.

The exhibit tells some of the story of tiling from ancient patterns through to hyperbolic and 4d geometry. You get to play with shapes and geometric toys and look at models and pictures. There will even be plenty of maths for those who insist.
flyer_3b