Tessellating a Getting on a Bit Birthdate

A CHRISTMAS POST. After too many equations and figures and too much jargon in recent posts, here’s a Lattice Labyrinth for the birth cohort of 1944. I think it’s also the first Honeycomb Lattice Labyrinth I’ve posted – and the highest order example yet constructed – case (18,18). Each supertile, shown in black, green and yellow (viperious colours), is comprised of 1944 equilateral triangles.

Honeycomb(18,18)1944finalIt took me the best part of a day to find and construct that, but much time was wasted thinking myself back into the topology of the graph – in the end, the construction was elegantly simple. Notice that those born in 1944 are at least three dimensional in character, or is that an illusion?


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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