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# Posts

### August 31, 2015

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8/31/2015 Answers to Last Fridays Brain-O Quiz: 1.  You might fine “begi […]
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My inclination, upon hearing of Oliver Sacks' death, was to note it, but not attempt any further tribute, since so many will be penning better pieces than I can (plus, he doesn't fit that easily into a mathematics blog). But on reflection, as a small memorial, I've decided to re-run here at MathTango, the below entry that was originally posted at Math-Frolic over two years ago [...I've also now

### August 30, 2015

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Two events are statistically independent if the outcome of one does not affect the probability of the other. For instance, if I flip two coins, the fact that one coin shows heads in no way affects the outcome of the other coin. On the other hand, if I deal out cards for game, then the … Continue reading Statistical Independence – Sunday Puzzle
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For the last few years, at about this time, I've posted a few maths questions by way of a warm up for the encroaching academic year. I see no reason not to continue this short-lived tradition so here are some more. These are all questions I wrote for this year's Charterhouse Foundation Scholarship Exam which is designed for students in Year 8. We wish to identify those who show most mathematical promise for their arrival at the beginning of Year 9 (or the fourth form as it's called here). Very […]
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Some time ago, I have written a post about tiling: Floors of Derelict Buildings with Tile-like Patterns and after that I have been looking for more information about tiling and recently I got to this really interesting article: With Discovery, 3 Scientists Chip Away at an Unsolvable Math Problem. The article tells the story of […]
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Hexagonal close packing of "spheres" at a market in Tblisi, Georgia. The displayed produce at the market illustrates a variety of packing strategies, from random to close, depending on the size and shape of the items and other constraints. Photos by I. Peterson
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8 - 3 = 0 + (1 * 5)Also:3√8 + 3 + 0 = 1 * 5
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This Sunday's reflection from Freeman Dyson (in "Dreams of Earth and Sky"): "A typical proton-proton collision in the LHC will produce a large spray of secondary particles, and the collisions are occurring at a rate of millions per second. The machine must automatically discard the vast majority of the collisions, so that the small minority that might be scientifically important can be

### August 29, 2015

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littlelimpstiff14u2: Wavegrower                                                                                                                    Oscillations - Harmony - Unity I’m Frédéric Vayssouze-Faure, a french guy fascinated by wave phenomenons and the vibrating guitar string harmonics theory, therefore inspired by periodic motions in general, and by the purest and smoothest of them in particular : those which […]
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I’m not an Engineer, but I can definitely relate to this!
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A tricycle with square wheels on a circular track at the National Museum of Mathematics in New York City. Note the Fibonacci spiral pattern at the track's center. For more on square wheels, see "Riding on Square Wheels." Photos by I. Peterson
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8 + 2 - 9 = 1^5Also:3√8 + 2 = (9 * 1) - 5
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.. […]
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8/29/20158,292,015 is a composite, deficient, odd, odious and wasteful number.  When written in base 36 it is 4XQ5R.  And, it can be expressed as the sum of all of the integers from 3741 to 5529.
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Why are the push buttons on a telephone arranged the way they are?

### August 28, 2015

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Si je vous disais que j’ai résolu la conjecture de Goldbach et que cela m’a pris en tout et pour tout 5 minutes, vous me croiriez ? Probablement pas. Et pourtant… Vous connaissez sans doute la grande conjecture de Goldbach, … Lire la suite →
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This is the eighth post in my new series that seeks to share the best mathematical content on the web. Enjoy! 1. The man behind modern mathematics: Fibonacci Barron’s has an excellent article about Leonardo of Pisa (aka Fibonacci). What I appreciate most is the article is accurate in its history: “the Fibonacci sequence, which … Continue reading This Week in Math (#8): Fibonacci, Android Passwords, and Tall Buildings
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(Click on the comic if you can't see the full image.) (C)Copyright 2015, C. Burke.Shouldn't Volume 6 be three times as meaty as Volume 2? Assuming some books aren't denser than others, of course. Again, there are times I'm surprised that I haven't done jokes like this one before. Come back often for more funny math and geeky comics.
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A wonderful visualization of tide cycles at the Exploratorium in San Francisco. Each acrylic slice is a hanging record of tide levels for one day, so you can easily pick out the peak of high tide and the valley of low tide. These peaks and valleys shift from day to day and month to month, as influenced by the moon's gravity (and, to a lesser extent, by the sun's gravity). So the timing of
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I have been writing & experimenting about major tech tools like smartphones for some time now. Last few years have been really intrusive for the smartphone manufacturers. With increasing mobile phone usage, I see a lot of new problems emerging for families and businesses. Cyberbullying, ePredating, catfishing, scamming, identity theft, patents-theft are just a few…
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...actually, several this week that are only tangential to math: 1)  More on Alex Bellos' new loop pool game: http://www.bbc.com/news/magazine-34015430 2)  Madore mazes, hyperbolic surfaces, and Evelyn Lamb: http://blogs.scientificamerican.com/roots-of-unity/an-epic-quest-on-an-8-812-holed-donut/ 3)  A new "Math Teachers At Play" blog carnival is up here: http://mrseteachesmath.blogspot.com/
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8 / 2 = 8 + 1 - 5Also:|8 - 2 - 8| = √(|1 - 5|)
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Siobhan Roberts probably didn't really get a summer vacation, being busier-than-ever with a book tour, but she reports on the mixture of "research and play" that filled the summers of some others: http://www.newyorker.com/tech/elements/cogito-ergo-summer-the-beauty-of-summer-science
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8/28/2015 Mr. B’s “BRAIN-O” QuizGuaranteed to unclog clogged up […]
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Located in the National Gallery of Art's Sculpture Garden, Tony Smith's Moondog is based on a lattice of tetrahedral and octahedral components (15 stretched octahedra and 10 tetrahedra). As described by George Hart, you can think of the structure as part of a diamond crystal lattice, with the smaller tetrahedral faces (visible as equilateral triangles) representing carbon atoms and the
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curiosamathematica: The sums of the reciprocals of the binomial coefficients over successive diagonals in Pascal’s triangle converge into beautiful patterns, apart from the first and second diagonal (which lead to the series 1 + 1 + 1 + 1 + … and the harmonic series, respectively). A proof of the identity can be found on cut-the-knot.org.

### August 27, 2015

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Here are the questions, with answers and explanations, for the New York State Geometry (Common Core) Regents exam, Parts 3 and 4. There were 3 questions in Part 3, each worth 4 credits. There were 2 questions in Part 4, each worth 6 credits. Partial credit may be earned. All work must be shown. In general, a correct answer without any work is worth 1 credit, unless that answer is given as a choice and an explanation is required. Link to Part 1Link to Part 2 Part 3 32. As shown in the diagram […]
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|8 - 2 - 7| = 1^5Also:8 - √(2 + 7) = 1 * 5
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This is a the fourth problem I have planned in my FWYM series. So far I've chosen one problem on subtraction, one that focuses on logic, and one that uses combinatorics. This next problem gets into probability by looking at coin flips.Of the first four FWYM problems, I am most interested in seeing students' strategies for […] The post Flip a Coin - Fay With Your Math (#4) appeared first on Math Fireworks.
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I might have posted this already, but here it is again for George! One of my favourite texts written by a mathematician about mathematics and the way in which it is (but ought not be) taught. https://www.maa.org/external_archive/devlin/LockhartsLament.pdf