Cromford Apple Day 2016, a Lattice Labyrinth for the 15th October 2016

Tomorrow, October 15th. 2016 is the 21st. annual Apple Day on Scarthin Promenade. The first was on October 21st, 1995, but we missed a year when it coincided with one of my many decadal birthdays. Until about five years ago it was run by Scarthin Books, but nowadays the energetic Celebrating Cromford team have taken over most of the work and the range of entertainments and instruction that accompanies the serious business of fruit pressing has grown. It feels almost like a harvest festival and for a long time very year has seemed to be the best ever.

It so happens that one supertile of Chinese Labyrinth (15,10), generated employing a fairly ingenious non-standard missing links graph fits, on my 44 x 44 squares, 2.4m x 2.4m tileyard, so I have been obliged to construct this celebratory tessellation. Here it is, seen whilst under construction.

tessellation-2016-sidelongand here is a fully-frontal:

tessellation-2016Thank you to Eve Booker for the photographs taken in the gloaming. There’s more to be done tomorrow if time – I was called in for dinner.

wp_20161015_12_53_36_proMore was done to modify the design – but not by me.

Here are some pictures of previous Apple Days.




blappleday2011-016-2ajdsc01225-2It’s hard to stop adding memorable  and heart-warming images, and yes, the sun does often shine for us….touch wood, the forecast for tomorrow is a bit iffy.

The Lattice Labyrinths workbook  is available from the publisher or you-know-who , or from a good independent bookshop or via Google


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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