Here’s Trefoil Lattice Labyrinth (44,1). Just six supertiles are shown, each comprised of 1981 equilateral triangles. This is yet another strikingly handsome tessellation, displaying a strong family likeness to other (e,1) cases, such as (42,1) with an 1807-triangle supertile illustrated in the “Trefoil from Heaven” post below. but to no other recent or forthcoming year. (43,1) is not possible, (45,1) has a 2071-triangle supertile.
Happy New Year to the Cohort of 1981, now busy changing the World. The daffodils bloomed early in that Spring.
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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.
Happy New Year to the Cohort of 1981, now busy changing the World. The daffodils bloomed early in that Spring.
