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simple city richard elwes's blog and website book: maths 1001 maths 1001: errata maths 1001: reviews book: chaotic fishponds… book: how to build a brain book: maths in 100 key breakthroughs book: the maths handbook writing talking teaching research who is richard elwes? magforming the stewart toroids posted by richardelwes on june 1, 2018 posted in: uncategorized . 1 comment [this is a sequel to my previous post magforming the johnson solids . please see that for a disclaimer and (if you want to understand the words in this post) the geometrical background. if you only want to see some pretty pictures, then ignore all this stuff and just scroll down…] last time, we investigated the shapes that can be built out of regular polygons, focusing on convex shapes – roughly speaking those with no holes, dents, or spikes. there are exactly 98 theoretically magformable convex polyhedra: all 5 of the platonic solids, 11 archimedean solids (out of 13 in total), 4 prisms (of an infinite family), 4 antiprisms (ditto), and 74 johnson solids (out of 92). once you drop the requirement for convexity, the only limits are your imagination and the size of your magformer collection. in principle there are inifinitely many magformable polyhedra, because you can always stick more bits on. see robopenguin here, for example. so what to do? let’s return to the starting point of every discussion of polyhedra: the platonic solids. continue reading magforming the johnson solids posted by richardelwes on may 18, 2018 posted in: geometry . 10 comments [ disclaimer: this is not a sponsored post or advert – it is a product purely of my own enthusiasm. but in the interests of full transparency, let me say one thing: for reasons you may come to understand, i developed a deep desire for some magformers octagons . although these exist, they are like gold-dust. so i wrote to magformers uk and asked whether they might sell me six octagons as a special deal, and they very generously replied that they would give me six octagons, which indeed they did, for which i am eternally grateful, and which you can spot in some of the photos below. they feature more prominently in the follow-up post which is [update] here .] the platonic solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. when some kind soul gave my children a set of magformers – a magnetic construction toy mainly comprising regular polygons – needless to say the first thing i did was steal them for myself and set about building up the collection until i could create the five platonic solids. the next shapes to move on to are the archimedean solids. there are 13, of which 10 are realistically buildable (the truncated dodecahedron and truncated icosidodecahedron require decagons which magformers don’t (yet?) make, and the snub dodecahedron requires unfeasibly many triangles (80) and would in any case collapse under its own weight). here’s a sample of three: a cuboctahedron, rhombicuboctahedron, and truncated icosahedron. continue reading books, blog, & song(s) posted by richardelwes on august 31, 2017 posted in: uncategorized . leave a comment this slideshow requires javascript. writing & europe posted by richardelwes on january 7, 2017 posted in: elwes elsewhere , politics , uncategorized . leave a comment it’s been a long time since i posted anything here… and that doesn’t change now, except in a technical sense. my writing activities are currently split between my work for the european mathematical society (see here for why you should join ) and writing about the current political situation, with which i am greviously displeased, on social media. if you are interested in the latter, see my twitter account on your right, and i have also started a blog on medium. the first post is: remaining angry . book review: red plenty by francis spufford posted by richardelwes on may 8, 2016 posted in: bookery , complexity . tagged: francis spufford , linear programming , red plenty . leave a comment imagine the benefits that could reaped if economic activity could be organised in a rational and scientific way, instead of abandoned to the chaos the marketplace! imagine the efficiency gains there would be, with workers, managers, farms, and factories all pulling together instead of wastefully competing against each other! for a period, in the soviet union of the 1950s and 60s, there was a genuine and exhilarating belief not just that communism was morally preferable to capitalism, but that it could actually beat capitalism at its own game. there was even a moment, at least for those with the eyes to see it, when it looked as if that might just be beginning to happen. it is this era which is so brilliantly captured in francis spufford’s fictionalised account, red plenty . i was recommended the book by the estimable miranda mowbray , when we were both speakers at a maths outreach day in london. her talk was on “drinking from the fire hose – data science”. mine was on linear programming, and afterwards miranda remarked that she’d read a book in which linear programming was the main character. and so it is. for the question arises: in the absence of a market to balance supply and demand, how should the central planners set about their work? how much viscose should they instruct a particular factory to produce, given the number and locations of other factories, the availability of sulphur, salt and coal, and the requirements of the fabric, cellophane, and tyre manufacturers? astonishingly, the mathematician leonid vitalevich kantorovich was able to devise a tool to answer to this sort of conundrum, in his seminal 1939 work on optimal resource allocation. (it would earn him a nobel memorial prize in economics in 1975.) the consequence of this breakthrough was spectacular: the political apparatus of central planning could be armed with linear programming, the technical means to accomplish that task, and thus would usher in a new era of soviet abundance. well, it’s hardly a spoiler to say that it didn’t work out quite like that. red plenty recounts the rise and fall of that tide: from the elation of discovery and the hope of a better world, to frustration, cynicism, and the ultimate tragedy of failure. now, a book about a doomed political philosophy and a technical mathematical procedure may be admirable, but is it entertaining? reader, it is rip-roaringly so. the story is told episodically, each chapter built around one character, sometimes real, sometimes fictional, each passage invested with the significance that its inhabitants feel. some are hilarious, some horrifying. there is kantorovich, of course, the prodigy and professor. there is the ambitious but sincere (fictional) young economist emil shaidullin, trudging through fields in his best city suit, determined to improve the lot of the rural poor. sasha galich is a (real) flamboyant song-writer and playwright, becoming uneasy with the ends to which his art is put. zoya vaynshteyn is a (fictional) scientist enjoying a mad midsummer’s night, but quietly pitied by her colleagues for the unsayable truth: that her subject, genetics, is afflicted with the plague of lysenkoism . sergei lebedev is a (real) computer pioneer, toiling away in his institute’s basement to build the machines that will perform the enormous economic calculations far faster than any capitalist market. we meet mr chairman, nikita sergeyevich khrushchev himself, travelling to the usa to strike a deal and issue oafish challenges. a (fictional) central planner maksim maksimovich mokhov juggles the balances for 373 commodities in the chemical and rubber goods sector. what’s so compelling is the colour and humanity of all these people as they live their lives entangled in the soviet system. some embrace the socialist dream, some resist, many simply try to organise their affairs around it. there are a few striking characters we meet only once, such as the (fictional) wheeler-dealer chekuskin, frantically dig

URL analysis for richardelwes.co.uk

https://richardelwes.co.uk/writing/
https://richardelwes.co.uk/tag/linear-programming/
https://richardelwes.co.uk/mathematics-1001/
https://richardelwes.co.uk/2018/05/18/magforming-the-johnson-solids/#comments
https://richardelwes.co.uk/2017/01/07/writing-europe/#respond
https://richardelwes.co.uk/category/brain-science/
https://richardelwes.co.uk/talking-maths/
https://richardelwes.co.uk/2015/07/16/learning-to-learn-from-babies/#comments
https://richardelwes.co.uk/category/complexity/
https://richardelwes.co.uk/2017/01/07/writing-europe/
https://richardelwes.co.uk/page/2/
https://richardelwes.co.uk/2011/06/21/topological-limericks/
https://richardelwes.co.uk/2018/06/01/magforming-the-stewart-toroids/#comments
https://richardelwes.co.uk/2015/10/28/barry-cooper-1943-2015/#comments
https://richardelwes.co.uk/2018/06/01/magforming-the-stewart-toroids/#more-3373
leedsjazz.org.uk
bbc.co.uk
newsletter.lms.ac.uk
magformers.co.uk
meditation-research.org.uk
maths.leeds.ac.uk

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