Author Archives: davescarthin

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.

The Theorem of Trithagoras; Pythagoras is for Squares. The MathsJam 2017 Five-minute Presentation.

Mention Pythagoras and Pythagorean triangles spring to mind, but his theorem is really about the area of certain squares (regular polygons with four sides) and sums of their areas, which happens to relate to the sides of the aforesaid triangles. … Continue reading

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Wirksworth Art and Architecture Trail 2017 – Une Tessellation dédidée a la Cathédrale de Notre-Dame de Die

The 2017 Wirksworth Festival, in Derbyshire, England, runs from 8th until 24th. September.perhaps its most successful feature is the Art and Architecture Trail, 10 till 5 on Saturday and Sunday, 9th and 10th. September. This has grown over the years … Continue reading

Posted in Architectural Realisations, Birthday labyrinths, Trefoil Labyrinths | Tagged , , , , , , , , , , , | 1 Comment

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