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 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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