A Lattice Labyrinth for Cristián: Trefoil (29,3)

Cristian is a correspondent in Chile who helped spread the word of my abortive but world-wide 2012 campaign for an Olympic Fourth Place Medal. Cristián’s special date is 29th. March, so here, as a belated thank you, is Trefoil Lattice Labyrinth (29,3), five elements displayed in the colours of the Chilean flag. I haven’t shown the boundaries of the 29² + 29×3 + 3²  = 937 equilateral triangles that make up each of the six supertiles pictured.

Trefoil (29,3) Cristián Final

It took several false starts and some “cheating” to arrive at this design, but I learned a lot in the process – and it’s been nostalgic to revisit that delightful interview in a London Park with ABC’s Julie Foudy.

In the absence of my friend Dave Jackson, daughter Ruth and several originally South American residents of Wirksworth to do a human job, here is the Google translation of the opening paragraph:

Cristian es un corresponsal en Chile que ayudó a difundir la palabra de mi abortiva sino en todo el mundo de campaña 2012 para una cuarta medalla olímpica Place. Fecha especial de Cristián es 29o. De marzo, por lo que aquí, como una tardía gracias, es trébol Entramado Laberinto (29,3), cinco elementos que se muestran en los colores de la bandera chilena. No he mostrado los límites de las 29² + 29×3 + = 937 triángulos equiláteros que componen cada una de las seis supertiles fotografiados.

I think I detect some wild mistakes in the above.

As always, here are some links to the inexpensive how-to-do-it  Lattice Labyrinths workbook which is available from the publisher or you-know-who , or from a good independent bookshop or via Google.


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.
This entry was posted in Birthday labyrinths, Trefoil Labyrinths and tagged , , , , , , , , , , , . Bookmark the permalink.

2 Responses to A Lattice Labyrinth for Cristián: Trefoil (29,3)

  1. ivasallay says:

    This is another lovely design, and it was a treat watching you on the news!


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