Serpent with Scale

In the Worms and serpents blog I reminded myself of the need to illustrate a truly labyrinthine Serpentine Lattice Labyrinth – so here are just five supertiles of an example. I’ve picked out one of the five in green. Each supertile consists of 425 square tiles.  These serpents are FORKED and, like all members of their Labyrinth family, look the same viewed from either end – maybe I should have named them after the traditional British reversible tramcar, as still to be seen on Hong Kong Island and at Crich Tramway Village (pop down to Scarthin Books while you’re there). Resist following those links, they’re a digression.ImageThe little squares and lozenges are tetrad and dyad axes of symmetry, applying to the shape (neglecting colouring) of the infinite tessellation of which this is part. See the rotational symmetry blog post for the meaning of these and other rotational symmetry axes.


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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