
Recent Posts
 Putting Australia in the Shade; A Lattice Labyrinth employed to Spectacular Effect
 A Birthday Card for the 1 in 1500 of us born on 29th. February
 March Fools’ Day (Brexit Day) 29th. March 2019
 The Theorem of Trithagoras; Pythagoras is for Squares. The MathsJam 2017 Fiveminute Presentation.
 Wirksworth Art and Architecture Trail 2017 – Une Tessellation dédidée a la Cathédrale de NotreDame de Die
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Category Archives: Birthyear Labyrinths
Tessellating the HardyRamanujan Taxicab Number, 1729, Bedrock of Integer Sequence A198775.
Here is Trefoil Lattice Labyrinth (32,15). There’s something rather special about it. According to the celebrated story, the English mathematician G.H.Hardy arrived at the hospital bedside of his Indian protege ( the autodidact mathematical genius) Srinivasa Ramanujan in London taxi … Continue reading
Posted in Birthyear Labyrinths, Mathematics, Trefoil Labyrinths
Tagged A198775, G.H.Hardy, HardyRamanujan, Online Encyclopedia of Integer Sequences, Oxford Mathematical Institute, Ramanujan, richard k guy, Taxi Cab Number, Taxicab Number, The Man who Knew Infinity, Unsolved Problems in Number Theory
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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
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 Alhambra, Escher, gaussian primes., Irrgarten, Laberinto, Labirinto, labyrinths, Maze, number pairs, Pecs, Polyomino, Polyominoes, rightangled triangle, Tessellations, tiling
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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
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
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
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 rightangles to one another, and each comprising 997 squares. Finding this … Continue reading
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 11,898triangled supertiles of Honeycomb Lattice Labyrinth (60,27) into six 1983triangled Star supertiles in the six different orientations. Although the constructor of the Giant’s … Continue reading
Great Triangular Tessellations!
Birthdate Years that may be Supertile areas of Trefoil or Honeycomb Labyrinths Trefoil Labyrinths have supertitle area, S = (e2 + ef + f2), so we are looking for e and f that give (e2 + ef + f2) equal … Continue reading