Here’s a little Christmas Present for Mischa – a Labyrinth to celebrate the auspicious year of your birth, 2005.
There you are, in the centre surrounded by four contemporary friends.
Postscript, 2.7.2014. I forgot to explain that this is Chinese Lattice Labyrinth (41,18), chosen because the sum of the squares of 41 and 18 equals 2005. You 2005’ers could also be represented by the fellow family member (39,22), whose sum of squares also equals 2005. It isn’t very common for there to be the two possibilities, indeed for many birth-years, including the present year, no lattice labyrinth can be constructed – see the “Can I do it?” post.
Both the 2005 Lattice Labyrinths are very easy to construct, employing a general rule for drawing the complementary or missing-links graph which works for all (a,b) except for cases where b is zero or a and b share a common factor.
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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.
There you are, in the centre surrounded by four contemporary friends.
LatticeLabyrinths 
Thank you, David. pp Mischa
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Looks a bit Swastika ish though, to be honest
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To borrow Churchill’s evocative phrase, we can get past the swastikoid suggestions of some Labyrinths to escape into the “broad sunlit uplands” of the infinity of other possibilities. Perhaps there aren’t the same connotations in the Far East, India and China for instance, where the symbol had positive meanings.
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