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 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, followed by a triangles design in 2017. I love giving illustrated talks, tailored to the audience. Get in touch to commission or to collaborate.
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