Author Archives: davescarthin

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. I love giving illustrated talks, tailored to the audience. Get in touch to commission or to collaborate.

Tessellating the Hardy-Ramanujan Taxicab Number, 1729, Bedrock of Integer Sequence A198775.

Here is Trefoil Lattice Labyrinth (32,15). There’s something rather special about it. According to the celebrated story, the English mathematician G.H.Hardy arrived at the hospital bedside of his Indian protege ( the autodidact mathematical genius) Srinivasa Ramanujan in London taxi … Continue reading

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Tiptoe tentatively into tessellated 2017

HURRAH!  2017 is the first tessellatable year since 2011, either on the square or on the triangular lattice. To start with the last but best image I’ve found: This shows symmetry axes and six supertiles of Trefoil Lattice Labyrinth (41,7), … Continue reading

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Thanks for the MathsJam Conference 2016 at Yarnfield Park near Stone, Staffordshire

I’ve only just discovered MathsJam, which may be meeting at a pub near you on the last but one Tuesday of each month, with Tuesday 13th.December 2016 a pre-Christmas exception. Here’s the MathsJam twitter site and a list of cities … Continue reading

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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 … Continue reading

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A Tessellation in the Wirksworth Festival Art and Architecture Trail, 10,11 September 2016

The 2016 Wirksworth Festival, Derbyshire, UK, begins on Saturday 10th. September with the pioneering and now widely-famed Art and Architecture Trail which takes you from surprise to surprise, in and out of gardens, up and down the ancient hillside town … Continue reading

Posted in Architectural Realisations, Birthday labyrinths, Chinese Labyrinths, National Labyrinths | Tagged , , , , , , , , , , | 2 Comments

Vive la France; An Addition to the Grandeur of Paris for le Quatorze Juillet, Bastille Day, la Fête Nationale,

Bill Bryson remarks somewhere that a Martian visitor desiring to be taken to our leader would chose Vienna as the likeliest place to find him or her, judging by the magisterial grandeur of its imperial  architecture and the overbearing opulence … Continue reading

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Inspired by the Month of June, Square Lattice Labyrinths with Even Separation Parameters

After many blog posts inspired by dates, including the Queen’s Birthday, Christmas Day, the National Days of Argentina, Brazil and Taiwan and the date of my Hip Op, it’s time for some basic tuition – though June, the sixth month, … Continue reading

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