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Create Lattice Labyrinths, Elegant and Intricate Patterns Never Before Seen
Sun, 18 Nov 2018 17:48:24 +0000
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Comment on Bibliography by davescarthin
https://latticelabyrinths.wordpress.com/books-a-growing-list/comment-page-1/#comment-611
Sun, 18 Nov 2018 17:48:24 +0000http://latticelabyrinths.wordpress.com/?page_id=105#comment-611Don’t understand your question, repeat it at greater length if you like.

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Comment on Bibliography by William R Busuttil
https://latticelabyrinths.wordpress.com/books-a-growing-list/comment-page-1/#comment-607
Fri, 16 Nov 2018 20:07:15 +0000http://latticelabyrinths.wordpress.com/?page_id=105#comment-607Hello is there an math modle to determ 90. Degree in non repeating tessation?

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Comment on Wirksworth Art and Architecture Trail 2017 – Une Tessellation dédidée a la Cathédrale de Notre-Dame de Die by 896÷8=112. Math Teachers, It’s Carnival Time! | Find the Factors
https://latticelabyrinths.wordpress.com/2017/09/05/wirksworth-art-and-architecture-trail-2013-une-tessellation-dedidee-a-la-cathedrale-de-notre-dame-de-die/comment-page-1/#comment-448
Sat, 30 Sep 2017 03:19:26 +0000http://latticelabyrinths.wordpress.com/?p=1464#comment-448[…] Mitchell of Latticelabyrinths explains how he and his friend, Jacob, made a beautiful structure for the September 1917 Wirksworth Art and Architecture Trail using a large peg board, pegs and […]

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Comment on Eine nicht so kleine Mathmusik: from Lattice Labyrinths to Integer-sided Trythagorean Triangles by Tessellating the Hardy-Ramanujan Taxicab Number, 1729, Bedrock of Integer Sequence A198775. | LatticeLabyrinths
https://latticelabyrinths.wordpress.com/2015/03/05/eine-nicht-so-kleine-mathmusik-from-lattice-labyrinths-to-integer-sided-trithagorean-triangles/comment-page-1/#comment-344
Sat, 25 Feb 2017 23:36:00 +0000http://latticelabyrinths.wordpress.com/?p=706#comment-344[…] 3² = 37 triangles (for a non-rigorous geometrical derivation of how this comes to be the case see a previous post on this blog). 37 is also the area of each of the two supertiles, the yellow and the blue, shown. […]

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Comment on Tessellatable Numbers up to 2100, with corresponding Gaussian and Loeschian Number Pairs by Tessellating the Hardy-Ramanujan Taxicab Number, 1729, Bedrock of Integer Sequence A198775. | LatticeLabyrinths
https://latticelabyrinths.wordpress.com/2015/09/15/tessellatable-numbers-up-to-2100-with-corresponding-gaussian-and-loeschian-number-pairs/comment-page-1/#comment-343
Sat, 25 Feb 2017 23:35:58 +0000http://latticelabyrinths.wordpress.com/?p=906#comment-343[…] 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 number 1729, which apparently uninteresting number Ramanujan immediately pronounced to be the smallest number than can be expressed as the sum of two positive cubes in two different ways, 1729 = 9³ + 10³ = 12³ + 1³ ( the nearest possible miss to a case of x³ + y³ = z³, declared impossible in the even more celebrated “Last Theorem” of Pierre de Fermat). Several other elegant attributes of 1729 are outlined by Wikipedia, but their compilers have, at the time of writing, missed one more property: 1729 is also the LOWEST number which can be represented by a Loeschian quadratic form a² + ab + b² in FOUR different ways with a and b positive integers. (a,b) can be (25,23), (32,15), (37,8) or (40,3). I personally discovered this to my amazement when looking up 1729 in my list of Tessellatable Numbers up to 2100. […]

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Comment on Eureka Moments, a Downer from Dennis Sciama and Dinner with Fred Hoyle by Origin of inertia | Physics Forums - The Fusion of Science and Community
https://latticelabyrinths.wordpress.com/2015/01/19/eureka-moments-a-downer-from-dennis-sciama-and-dinner-with-fred-hoyle/comment-page-1/#comment-290
Tue, 04 Oct 2016 20:19:56 +0000http://latticelabyrinths.wordpress.com/?p=623#comment-290[…] and everything". Alas, it was TOO simple, and therefore old hat. You might enjoy the story: https://latticelabyrinths.wordpress…rom-dennis-sciama-and-dinner-with-fred-hoyle/ Dave Scarthin, Oct 4, 2016 at 3:19 […]

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Comment on A Tessellation in the Wirksworth Festival Art and Architecture Trail, 10,11 September 2016 by davescarthin
https://latticelabyrinths.wordpress.com/2016/09/09/a-tessellation-in-the-wirksworth-festival-art-and-architecture-trail-1011-september-2016/comment-page-1/#comment-286
Sat, 17 Sep 2016 11:55:07 +0000http://latticelabyrinths.wordpress.com/?p=1306#comment-286Among the many people who viewed the Wirksworth installation was a designer and maker of QUILTS who has given two papers at Bridges conferences and who told me about “MathsJam” evenings that take place on the third Tuesday of each month (next one is Tuesday 20th September) in the following places:
Aberdeen, Antwerp, Auckland, Bangkok, Bath, Baton Rouge, Berlin, Birmingham, Bombay, Brighton, Brisbane, Brunei, Cambridge, Canterbury, Cardiff, Cheltenham, Chicago, Delhi, East Dorset, Edinburgh, Ghent, Guelph, Guildford, Kolkata, Lagos, Leeds, Leicester, Lincoln, Lisbon, London, Lund, Manchester, Newcastle, Norwich, Nottingham, Oshawa, Oslo, Oxford, Peterborough, Phoenix, Portsmouth, San Antonio, Sheffield, Stockholm, Swansea, Sydney, Tacoma, Winnipeg and York.
I shall attend the meeting in a Nottingham pub. Is there one within reach of you?

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Comment on A Tessellation in the Wirksworth Festival Art and Architecture Trail, 10,11 September 2016 by ivasallay
https://latticelabyrinths.wordpress.com/2016/09/09/a-tessellation-in-the-wirksworth-festival-art-and-architecture-trail-1011-september-2016/comment-page-1/#comment-285
Fri, 16 Sep 2016 18:26:41 +0000http://latticelabyrinths.wordpress.com/?p=1306#comment-285Wow! That was a lot of work, but well worth it. Now more people will be able to enjoy your tessellations!

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Comment on Tessellatable Numbers up to 2100, with corresponding Gaussian and Loeschian Number Pairs by davescarthin
https://latticelabyrinths.wordpress.com/2015/09/15/tessellatable-numbers-up-to-2100-with-corresponding-gaussian-and-loeschian-number-pairs/comment-page-1/#comment-284
Tue, 13 Sep 2016 16:35:16 +0000http://latticelabyrinths.wordpress.com/?p=906#comment-284Thanks for pointing out this other significance of the functions n^2 + m^2 and n^2 + mn + n^2. Being very rusty (corroded is more like it) on eigenvalues I need to do some revision to understand. A reference/link from your eventual
essay would be appreciated and would be reciprocated. Thanks, Dave Mitchell

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Comment on Tessellatable Numbers up to 2100, with corresponding Gaussian and Loeschian Number Pairs by Bob
https://latticelabyrinths.wordpress.com/2015/09/15/tessellatable-numbers-up-to-2100-with-corresponding-gaussian-and-loeschian-number-pairs/comment-page-1/#comment-282
Tue, 13 Sep 2016 10:15:09 +0000http://latticelabyrinths.wordpress.com/?p=906#comment-282I’m writing up a short essay on the Laplacian eigenvalues within the equilateral triangle, where of course $\lambda \propto n^2+mn+m^2$ is the eigenvalue, which can be compared with the square $\lambda \propto n^2+m^2$. I plan on going much higher, perhaps the first million. I like your idea of putting them side by side, perhaps I’ll do the same.