A Lattice Labyrinth for Today, 27th. March

As an alternative to designing designs for birthYEARS, how about some Lattice Labyrinths for birthDAYS. If we take the day and the month to be the separation parameters, so that 27th. March becomes (27,3) then one possibility is Serpentine Labyrinth (27,3). Bearing in mind that Lattice labyrinths tessellate the infinite Euclidean plane, instead of showing a discrete number of supertiles forming together a sort of LOGO, this time I’ve shown a rectangular piece of the tessellation, an area of giftwrap I call it, though this design probably wouldn’t sell too well.

SerpentineGiftwrap(27,3)trimcolThe area of the repeat unit of this tessellation consists of the sum of the squares of 27 and 3, which is 738. Each supertile consists of half this number of square tiles, namely 369, two, orientated at right-angles to each other, making up the repeat unit. Here they are, showing how they interlock.

Serpentine (27,3) supertilesTo conclude, may I wish you early spring babies a Happy Birthday today. Next year, all your presents could be wrapped in this tessellation, which encrypted version of your birthdate would be decoded by no-one, though Bletchley Park would soon be shopping for gifts.

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


About davescarthin

After terminating academic and local government careers, long an independent bookseller/publisher at Scarthin Books, Cromford, Derbyshire, UK. An antiquarian bookseller in two senses, I now have more 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 and textile designs. Presenting a paper and experiencing so many others at Bridges Seoul 2014 Mathart conference was a great treat, as were the spirited MathsJam Annual Conferences in November 2016 and 2017. I'm building up to a more academic journal paper and trying hard to find practical outlets in graphic design and landscape architecture. I submitted 8 ft square tiling designs to the Wirksworth Festival Art and Architecture Trail in 2016 and 2017. I love giving illustrated talks, tailored to the audience. Get in touch to commission or to collaborate.
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