Worms and Serpents

Here are two members of the Serpentine Lattice Labyrinth family, which is a family with great potential for outdoor paving or decorative tiling. These are Sepentine Labyrinth (5,5), with a repeat unit of 50 squares and Serpentine Labyrinth (7,3) with a repeat unit of 116 squares.

Serpentine (5,5) and (7,3)

You might convert these into tessellations of inch-worms and serpents respectively. The serpents are shaped rather like the snakes in the snakes-and-ladders board game – so maybe we should instead coin the term ladder-snakes for the  tessellation of serpents.

It’s time I worked out and illustrated a more ambitious, higher-order Serpentine Labyrinth.

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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