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mathlesstraveled.com
Personal blog · mathlesstraveled.commath
mathlesstraveled.com is a personal blog at mathlesstraveled.com about math. Since 2009, 23 different Hacker News readers have linked it 30 times, most often “Factorization diagrams in Haskell”. No feed was found, so read it on the site itself.
Too few sampled comments (10) to say how often HN recommends it.?
Why HN links it
HN readers link this blog for its explanations of factorization diagrams and related math visuals, such as the 17x17 monochromatic rectangles problem and the Collatz conjecture. Commenters cite posts as clear explanations.
Summarised by Claude from a sample of 10 HN comments that link here. Each comment is marked recommending, critical or neutral (citing without judging); how this works.
Math Less Traveled — off-beat mathematics: visual proofs, number theory, puzzles, fractals, topology and creative problem solving for curious minds.
Most-linked posts?
- Factorization diagrams in Haskell3 people · 3 mentions · first linked 2012-10-06
- A new way to read and print double-sided paper (2016)2 people · 5 mentions · first linked 2016-10-20
- /2012/11/05/more-factorization-diagrams/2 people · 2 mentions · first linked 2012-11-15
- 17×17 4-coloring with no monochromatic rectangles2 people · 2 mentions · first linked 2012-02-12
- Random cyclic curves in the complex plane2 people · 2 mentions · first linked 2017-10-04
What Hacker News says?
see also http://mathlesstraveled.com/2012/10/05/factorization-diagram... and http://mathlesstraveled.com/2012/11/05/more-factorization-di...
Comment linking /2012/11/05/more-factorization-diagrams/
on “Animated Factorisation Diagrams”Submitted Factorization diagrams in Haskell as a story · 103 points
HN discussionThis is brilliant! Now i want (to build) a drag and drop toy where i can multiply or summarize numbers that are represented in this way. To see how factors move (like boids). Is this visualization algorithm called something? The explanation link from a previous HN post seems to be broken: http://mathlesstraveled.com/2012/10/05/factorization-diagram...
Comment linking /2012/10/05/factorization-diagrams/
on “Animated Factorization (2012)”Submitted A new way to read and print double-sided paper (2016) as a story · 40 points
HN discussionIt tells about the factorizations if anything, as that's the input dimensions they are using. If you haven't seen factorization diagrams, it's worth checking them out first: https://mathlesstraveled.com/factorization/ But visualisations can always deceive you into seeing something that's not there, e.g. correlation vs causation.
Comment linking /factorization/
on “What do numbers look like?”Submitted Euclid's Orchard, the Euclidean algorithm, and Fibonacci numbers, with pictures as a story · 32 points
HN discussionThat was awesome thanks for sharing. For the first minute I wasn't expecting much, but the reflections part was so cool! Plus, this connects directly to the cyclic curves in the complex plane, e.g., https://mathlesstraveled.com/2015/06/04/random-cyclic-curves... The curves formed by the envelope of intersecting lines in the circular multiplication table are a slice of cyclic curve space. I animated this after readin…
Comment linking /2015/06/04/random-cyclic-curves-5/
on “Beauty in Mathematics: Modular Multiplication Tables”Submitted We can make primality machines that do not know anything about the factors of n as a story · 19 points
HN discussionFor those of us who are confused what "monochromatic rectangles" actually means, this article shows it perfectly: http://mathlesstraveled.com/2012/02/09/17x17-4-coloring-with...
Comment linking /2012/02/09/17x17-4-coloring-with-no-monochromatic-rectangles/
on “The 17x17 problem solved”Submitted A new way to read (and print) double-sided paper (2016) as a story · 3 points
HN discussionVery interesting. Here is a nice explanation of the algorithm: http://mathlesstraveled.com/2012/10/05/factorization-diagram... (from the "About" page)
Comment linking /2012/10/05/factorization-diagrams/
on “Factorizer”Submitted Fermat’s Little Theorem: proof by necklaces as a story · 3 points
HN discussioncryogenics section, for potential resuscitation of mathematical campaigns using future technology automated provers like coq and isabelle, I think (I also think I'm not a crackpot but ... http://arxiv.org/abs/1211.7012 http://mathlesstraveled.com/2012/11/11/a-computer-checked-pr... Probably the haskell/agda camp'll want to defend their honor also
Comment linking /2012/11/11/a-computer-checked-proof-of-the-odd-order-theorem/
on “Math even mathematicians don't understand (the sequel)”Submitted Random cyclic curves in the complex plane as a story · 3 points
HN discussionhttp://mathlesstraveled.com/2012/11/05/more-factorization-di...
Comment linking /2012/11/05/more-factorization-diagrams/
on “Show HN: A collection of algorithmic art generated with POV-Ray”Submitted 17×17 4-coloring with no monochromatic rectangles as a story · 2 points
HN discussionhttp://mathlesstraveled.com/2011/06/04/the-collatz-conjectur... (At the end of the comments you'll see that the author of the proof withdrew the claim.)
Comment linking /2011/06/04/the-collatz-conjecture-is-safe-for-now/
on “Deolalikar’s Claim[ed P!=NP Proof]: One Year Later”Submitted Manufactoria: A computer science teaching game as a story · 2 points
HN discussionMy favorite way, though, is just to make a grid of pairs of integers (numerator, denominator), and then count them by spiraling outward on the grid. This yields duplicates, but that's ok. Calkin and Wilf cleverly avoid duplications by arranging reals not on a lattice but on a (Stern-Borcot) tree. http://en.wikipedia.org/wiki/Calkin%E2%80%93Wilf_tree http://www.mathlesstraveled.com/?p=94
Comment linking /?p=94
on “Hilbert's paradox of the Grand Hotel”Submitted A new way to read (and print) double-sided paper (2016) as a story · 1 points
HN discussionSubmitted A new way to read (and print) double-sided paper (2016) as a story · 1 points
HN discussionSubmitted John Conway’s algorithms for counting stairs as a story · 1 points
HN discussionSubmitted Computing the Euler totient function, part 3: proving phi is multiplicative as a story · 1 points
HN discussionSubmitted Making the Fermat primality test deterministic as a story · 1 points
HN discussionSubmitted The Math Less Traveled: Post Without Words #11 as a story · 1 points
HN discussionSubmitted A new way to read and print double-sided paper (Jan 2016) as a story · 1 points
HN discussionSubmitted Cosmic Call at the Universe of Discourse – The Math Less Traveled as a story · 1 points
HN discussionSubmitted Visualizing Pascal's triangle remainders as a story · 1 points
HN discussionSubmitted Did you know the number 86 was so interesting? as a story · 1 points
HN discussion