Christmas Day Snowflake

Apologies for peppering you with blog posts, but here, posted on New Year’s Eve, is an even more attractive Christmas Day tessellation, Trefoil Lattice Labyrinth (25,12) in suitably icy colours. The background is Snowdon, the highest peak in Wales, seen form Crib Goch, looking and feeling on the occasion of a classic snowy traverse about three times its  elevation of 1,085 metres (3,560 ft). Here in Cromford (England) snow has been lying for four days of delicious icy Alpine sunshine. Today, fog over the hills presages a thaw.


The “snowflake” includes just six supertiles,m each made of  25^2 + 25×12 + 12^2 = 1069 equilateral triangles.

P.S. Links to the how-to-do-it workbook: From the publisher, or via you-know-who , better,  from a good independent bookshop or just Google.

You can contact Dave Mitchell, the blogger, via


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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