Whence the Viewers of this Blog? ….and so a Trefoil for Brazil….and OXO Stock Cubes

In just over a year the Lattice Labyrinths blog has been visited from some 69 countries, most visitors being from the UK, followed, in order of total views, by USA, Germany, Brazil, Canada, Spain, Belgium, France, South Korea, Mexico, Italy, India, Guernsey (I’ve an old friend there) and Hong Kong. Conspicuously absent are visitors from most nations of Sub-Saharan Africa, most of the Middle East, the People’s Republic of China (but maybe visitors have viewed from elsewhere), the Caribbean and adjacent equatorial America, NORWAY and IRELAND. Perhaps surprisingly high up the list is BRAZIL – have I a faithful regular, are some of these visits a technical artefact/artifact or have the tessellations posted for the World Cup triumph and disaster attracted lots of notice?

Whatever, here is a thank you to the faithful (or numerous) visitors from Brazil.

TREFOIL LATTICE LABYRINTH TESSELLATION (9,7), based on the National Day of Brazil, September 7th.

Trefoil (9,7) Brazil FinalAbove you see just six supertiles of the infinitely-extendable tessellation. I like it. Each supertile consists of 9^2 + 9 x 7 + 7^2 =  193 equilateral triangles. Has that number a significance for anyone or anywhere or anywhen.

And here is the missing links graph (which consists of all the triangular lattice links not used by the graph that forms the boundaries of the tessellations supertiles), which took a lot of finding and which I must show to a  British manufacturer of legendary  stock cubes. Of course this design can go on for ever too.

Trefoil(9,7) Brazil MissingLinks Graph

P.S. Links to the how-to-do-it workbook: From the publisher, or via you-know-who , better,  from a good independent bookshop or just Google.

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About davescarthin

After a brief academic and local government career, long an independent bookseller/publisher at Scarthin Books, Cromford, Derbyshire, UK. An antiquarian bookseller in two senses, now also has time to be an annuated independent post-doc, developing the long dormant topic of lattice labyrinth tessellations - both a mathematical recreation and a source of compelling practical tiling/paving and textile designs. Presenting a paper and experiencing so many others at Bridges Seoul 2014 Mathart conference was a great treat, as was the MathsJam Annual Conference in November 2016. I'm building up to a more academic journal paper and trying hard to find practical outlets in graphic design and landscape architecture. An 8 ft square tiling design was part of the Wirksworth Festival Art and Architecture Trail 2016. I love giving illustrated talks, tailored to the audience. Get in touch to commission or to collaborate.
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