Category Archives: Birthyear Labyrinths

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

Posted in Birthyear Labyrinths, Chinese Labyrinths, Trefoil Labyrinths | Tagged , , , , , , , , , | Leave a comment

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 … Continue reading

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 | Tagged , , , , , , , , , , , , , , | 1 Comment

Sydney Olympics 2000

Here is the promised conversion of Scarthin Lattice Labyrinth (40,20) into Olympic Lattice Labyrinth (40,20). Ill explain why the Family names later. Each of the supertiles of the Scarthin Labyrinth have been divided into two by adding a couple of … Continue reading

Posted in Birthyear Labyrinths, Olympic Labyrinths, Scarthin Labyrinths | Leave a comment

Sophie’s Millennial Tessellation

After a break while rather optimistically preparing a submission for the Bridges Conference 2014, I’m back again with a Labyrinth specially for Sophie, a ray of energy whenever about the Bookshop. It’s fitting that the birthyear number 2000 is doable … Continue reading

Posted in Birthyear Labyrinths, Scarthin Labyrinths | Tagged | Leave a comment

Chinese Year of The Horse, Wood Horse Year 1954

Chinese Year 2014 began on 31st. January and is the Year of the Horse and also of the element Wood. I can’t do a Labyrinth with 2014 squares or triangles in its Repeat Unit (see the Making Manifest your Birthyear … Continue reading

Posted in Birthyear Labyrinths, Serpentine Labyrinths | Tagged | Leave a comment

Mike’s 1994 Serpentine Labyrinth

After another extended struggle, I can reveal a construction of Serpentine Lattice Labyrinth (37,25), which has the desired repeat unit of 1994 squares, made up of two supertiles at right-angles to one another, and each comprising 997 squares. Finding this … Continue reading

Posted in Birthyear Labyrinths, Serpentine Labyrinths | Tagged | Leave a comment

Star Lattice Labyrinth (60,27) for Oliver and all 1983’ers

Onward to the true 1983 tessellation: Star Lattice Labyrinth (60,27). This can be constructed by dividing the 11,898-triangled supertiles of Honeycomb Lattice Labyrinth (60,27) into six 1983-triangled  Star supertiles  in the six different orientations. Although the constructor of the Giant’s … Continue reading

Posted in Birthyear Labyrinths, Star Labyrinths | Tagged | Leave a comment