Lattice Labyrinth Tilings and Pavings: An Image Gallery

The thumbnailed gallery below is a handy summary of images included in the various posts of the Lattice Labyrinths blog and has now been copied as a page of the blog. In the course of time that page will tend to become more comprehensive than this post.

The choice is biased towards the intricate,  which means that a great number of square or triangular tiles would be need to create even a few supertiles of these infinitely-extendable patterns. This is because I’ve chosen to produce many lattice labyrinths with supertiles made up of the same number of tiles as a birthyear (usually 1900+) or specified by the number pair that constitutes a birthday or other memorable date, which, unless it falls upon on an early day in an early month of the year, also tends to imply supertiles comprised of hundreds of squares or triangles.

American-style dates (month before day) are obtained from British-style dates, which I adopt, simply by generating the mirror image of the tessellation.

The bright hues may be unrealistic for floor pavings but in the case of tilings for national celebration dates have been chosen to match the colours of the corresponding national flags.

What I’m trying to say is that humble tessellations in discrete colours can also be created.

By the way, the research that led to the creation (or discovery in the Mind of God) of these tessellations, tilings or pavings began in the University of Birmingham’s sometime Department of Transportation and Environmental Planning under the supervision of  Paviors Lecturer Frank Hobbs and  charismatic and inscrutable Professor Jan Kolbuszewski.


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.
This entry was posted in Architectural Realisations, Birthday labyrinths, Birthyear Labyrinths, Chinese Labyrinths, Dart Labyrinths, Diamond Labyrinths, Honeycomb Labyrinths, Japanese Labyrinths, National Labyrinths, Olympic Labyrinths, Sepentine Labyrinths, Serpentine Labyrinths, Star Labyrinths, Trefoil Labyrinths and tagged , , , , , , , , , , , , , , . Bookmark the permalink.

1 Response to Lattice Labyrinth Tilings and Pavings: An Image Gallery

  1. ivasallay says:

    This is quite an impressive collection! Thank you for your hard work, too.

    Liked by 1 person

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s