As an alternative to designing designs for birthYEARS, how about some Lattice Labyrinths for birthDAYS. If we take the day and the month to be the separation parameters, so that 27th. March becomes (27,3) then one possibility is Serpentine Labyrinth (27,3). Bearing in mind that Lattice labyrinths tessellate the infinite Euclidean plane, instead of showing a discrete number of supertiles forming together a sort of LOGO, this time I’ve shown a rectangular piece of the tessellation, an area of giftwrap I call it, though this design probably wouldn’t sell too well.
The area of the repeat unit of this tessellation consists of the sum of the squares of 27 and 3, which is 738. Each supertile consists of half this number of square tiles, namely 369, two, orientated at right-angles to each other, making up the repeat unit. Here they are, showing how they interlock.
To conclude, may I wish you early spring babies a Happy Birthday today. Next year, all your presents could be wrapped in this tessellation, which encrypted version of your birthdate would be decoded by no-one, though Bletchley Park would soon be shopping for gifts.