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 only as a Scarthin Labyrinth or its dissection an Olympic Labyrinth. A close look at a diagonally symmetrical supertile of this appropriately beautiful and outreaching tessellation will reveal a central square of squares, which can be divided (in either of two ways at right angles) without upsetting the symmetry of the pattern; the supertiles of the resulting tessellation are then properly SLIM polyominoes, as in the other rigorously constrained families of Lattice Labyrinths. Maybe I’ll demonstrate the result of that transmutation in a new post; closely related tessellations can look quite distinct. All birthdays happy, Sophie.
Incidentally, I found this tessellation after a considerable vague cogitation, one precise failure and some iterative focusing on a successful solution. The form taken by the algorithm is a combination of a simple and elegant primary construction with the rather scratch secondary element that this forces.
Though much of the world is still made up of tribes or kingdoms in a chronic state of anarchy or war, Britain has so far fared immeasurably better in this new millennium than in the last. To quote again from a translation of the Anglo-Saxon Chronicle.
A.D. 1000 . This year the king went into Cumberland, and nearly
laid waste the whole of it with his army, whilst his navy sailed
about Chester with the design of co-operating with his land-
forces; but, finding it impracticable, they ravaged Anglesey.
“Ah well, no sign of the king. What shall we do instead, the lads need a bit of exercise. I know, let’s ravage Anglesey.” “Yes, why not, unless anyone’s got a better idea.”