A New Year’s Labyrinth for Rosie

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.

Trefoil(44,1)1981Happy New Year to the Cohort of 1981, now busy changing the World. The daffodils bloomed early in that Spring.


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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