40 posts tagged with math by Wolfdog.

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Polyhedra and the Media - On the new polyhedra of Schein and Gayed, and mathematical journalism.

posted by Wolfdog on Mar 11, 2014 - 20 comments

posted by Wolfdog on Mar 11, 2014 - 20 comments

The Teaching of Arithmetic: The Story of an experiment. *In the fall of 1929 I made up my mind to try the experiment of abandoning all formal instruction in arithmetic below the seventh grade and concentrating on teaching the children to read, to reason, and to recite - my new Three R's. And by reciting I did not mean giving back, verbatim, the words of the teacher or of the textbook. I meant speaking the English language. I picked out five rooms - three third grades, one combining the third and fourth grades, and one fifth grade. I asked the teachers if they would be willing to try the experiment.*

posted by Wolfdog on Mar 8, 2014 - 18 comments

posted by Wolfdog on Mar 8, 2014 - 18 comments

Discovering Free Will (Part II, Part III) - a nice discussion of the Conway-Kochen "Free Will Theorem". [more inside]

posted by Wolfdog on Mar 4, 2014 - 92 comments

posted by Wolfdog on Mar 4, 2014 - 92 comments

Reaction-diffusion reactions used to design housewares, puzzles, and more. If you want to experiment yourself, you might get some ideas from the demos at WebGL Playground or you might use this brief intro as a jumping-off point.

posted by Wolfdog on Feb 23, 2014 - 13 comments

posted by Wolfdog on Feb 23, 2014 - 13 comments

Visual Patterns. Here are the first few steps. What's the equation?

posted by Wolfdog on Feb 18, 2014 - 19 comments

posted by Wolfdog on Feb 18, 2014 - 19 comments

The Hierarchy of Hexagons. *School geometry seems to me one of the most lifeless topics in all of mathematics.
And the worst of all? The hierarchy of quadrilaterals.*

posted by Wolfdog on Feb 11, 2014 - 36 comments

posted by Wolfdog on Feb 11, 2014 - 36 comments

It's Saturday; why not think about the pigeonhole principle? Here are problems and more problems and what you might call a problem with the principle itself as it is often stated.

posted by Wolfdog on Nov 10, 2012 - 41 comments

posted by Wolfdog on Nov 10, 2012 - 41 comments

The Angel Problem. *The Angel and the Devil play a game on an infinite chess board...*

posted by Wolfdog on Feb 16, 2012 - 37 comments

posted by Wolfdog on Feb 16, 2012 - 37 comments

NumberADay - *Every working day, we post a number and offer a selection of that number’s properties.*

posted by Wolfdog on Jan 11, 2012 - 30 comments

posted by Wolfdog on Jan 11, 2012 - 30 comments

Morpion Solitaire is a very simple pencil-and-paper, line-drawing game for which the best possible score is not known! New records are still being set.

posted by Wolfdog on Jan 8, 2012 - 21 comments

posted by Wolfdog on Jan 8, 2012 - 21 comments

Building a Computer 1: Numerals - *recently my kids have been asking me about how computers work. I like to give in-depth answers to such questions, so we set out on a quest to understand how they work...* Follow-up parts 2 3 4 5 6 7 8 9 10 11 12 13 14 15.

posted by Wolfdog on Oct 20, 2011 - 17 comments

posted by Wolfdog on Oct 20, 2011 - 17 comments

This short computer graphics animation *presents the regular 120-cell: a four dimensional polytope composed of 120 dodecahedra and also known as the hyperdodecahedron or hecatonicosachoron.* [more inside]

posted by Wolfdog on Aug 2, 2011 - 29 comments

posted by Wolfdog on Aug 2, 2011 - 29 comments

Beaded Polyhedra ❂ More beadwork (mathematical and otherwise) by Gwen Fisher ❂ Still more beadwork galleries at beAdinfinitum ❂ Three-dimensional finite point groups and the symmetry of beaded beads [pdf - some algebra, but lots of illustrations]

posted by Wolfdog on Jul 19, 2011 - 6 comments

posted by Wolfdog on Jul 19, 2011 - 6 comments

A thread full of proofs without words at MathOverflow and quite a lot more of them courtesy of Google Books.

posted by Wolfdog on Jul 18, 2011 - 22 comments

posted by Wolfdog on Jul 18, 2011 - 22 comments

The OEIS Movie is simply a slideshow of one thousand plots from the Online Encyclopedia of Integer Sequences, at two plots per second with sequence-generated music. [more inside]

posted by Wolfdog on Dec 2, 2010 - 12 comments

posted by Wolfdog on Dec 2, 2010 - 12 comments

The Geometry of the Snail Ball [pdf] - an interesting article (with some DIY advice at the end) about a toy shop curiosity you may have encountered.

posted by Wolfdog on Nov 16, 2010 - 25 comments

posted by Wolfdog on Nov 16, 2010 - 25 comments

posted by Wolfdog on May 16, 2010 - 3 comments

Moving Remy in Harmony - Pixar's Use of Harmonic Functions. [more inside]

posted by Wolfdog on Apr 15, 2010 - 38 comments

posted by Wolfdog on Apr 15, 2010 - 38 comments

Mathematics Illuminated is a set of thirteen surveys in varied topics in mathematics, nicely produced with video, text, and interactive Flash gadgets for each of the topics.

posted by Wolfdog on Apr 14, 2010 - 8 comments

posted by Wolfdog on Apr 14, 2010 - 8 comments

Trigonometric Delights. *This book is neither a textbook of trigonometry—of which there are many—nor a comprehensive history of the subject, of which there is almost none. It is an attempt to present selected topics in trigonometry from a historic point of view and to show their relevance to other sciences. It grew out of my love affair with the subject, but also out of my frustration at the way it is being taught in our colleges.*

posted by Wolfdog on Mar 24, 2010 - 18 comments

posted by Wolfdog on Mar 24, 2010 - 18 comments

The Sexaholics of Truthteller Planet - yes, it's one of those rotten logic problems, one of many that can be found at Tanya Khovanova’s Math Guide to the MIT Mystery Hunt.

posted by Wolfdog on Jan 13, 2010 - 21 comments

posted by Wolfdog on Jan 13, 2010 - 21 comments

Calculus of Averages - *Newton and Archimedes did not possess this knowledge. No mathematics professor today can provide this knowledge and depth of understanding.* Author John Gabriel maintains a blog, Friend of Wisdom, and contributes articles such as Are real numbers uncountable? to Google's Knol project.

posted by Wolfdog on Jan 8, 2010 - 78 comments

posted by Wolfdog on Jan 8, 2010 - 78 comments

A gathering of puzzles including many old chestnuts but also perhaps one or two you haven't met before.

posted by Wolfdog on Dec 16, 2009 - 29 comments

posted by Wolfdog on Dec 16, 2009 - 29 comments

Who is Alexander Grothendieck? [PDF] *This lecture is concerned not with Grothendieck's mathematics but with his very unusual life on the fringes of human society. In particular, there is, on the one hand, the question of why at the age of forty-two Grothendieck first of all resigned his professorship at the Institut des Hautes Etudes Scientifiques (IHES); then withdrew from mathematics completely; and finally broke off all connections to his colleagues, students, acquaintances, friends, as well as his own family, to live as a hermit in an unknown place. On the other hand, one would like to know what has occupied this restless and creative spirit since his withdrawal from mathematics.*

posted by Wolfdog on Aug 17, 2008 - 31 comments

posted by Wolfdog on Aug 17, 2008 - 31 comments

If you could use a great big free handbook of discrete math and algorithms, Jörg Arndt's fxtbook wants to be your friend. Plain text table of contents to whet your appetite.

posted by Wolfdog on Mar 5, 2008 - 11 comments

posted by Wolfdog on Mar 5, 2008 - 11 comments

Lightning calculator and "mathemagician" Art Benjamin goes through his paces in a 15 minute video.

posted by Wolfdog on Dec 19, 2007 - 32 comments

posted by Wolfdog on Dec 19, 2007 - 32 comments

Nowhere-neat tilings are actually pretty neat. We all know you can't "square the circle", but do you know the story of squaring the square? (And by the way, even if you can't construct π with a ruler and compass, you can come awfully close without too much work.)

posted by Wolfdog on Dec 4, 2007 - 10 comments

posted by Wolfdog on Dec 4, 2007 - 10 comments

Symmetry. Shakespeare. Islamic medicine. Creative writing challenges. Four podcast series from University of Warwick.

posted by Wolfdog on Nov 18, 2007 - 2 comments

posted by Wolfdog on Nov 18, 2007 - 2 comments

The Prime Game is not really much of a game, but it *is* a neat & little-known fact about the decimal representation of prime numbers.

posted by Wolfdog on Jul 10, 2007 - 24 comments

posted by Wolfdog on Jul 10, 2007 - 24 comments

Here are some beautifully rendered views of polytopes, and a few more. The rendering program, Jenn 3D, is free and downloadable, (OS X, Linux, Win) and includes some really dazzling fly-about and camera effects as well as tons of high-dimensional models to explore. There's also a mind-boggling possibility of playing Go on boards in projective space. Via the Math Paint blog, which leads to other interesting places...

posted by Wolfdog on Jun 2, 2007 - 13 comments

posted by Wolfdog on Jun 2, 2007 - 13 comments

SlitherLink - a little spatial-numerical puzzle. Here's a better exposition of the rules from the puzzle's inventors, and another collection of puzzles. Oh, and a little survey of other sneaky, snaky puzzles.

posted by Wolfdog on May 31, 2007 - 18 comments

posted by Wolfdog on May 31, 2007 - 18 comments

Bending a soccer ball - mathematically. Found via Ivars Peterson's short exposition on Braungardt and Kotschick's The Classification of Football Patterns [pdf, technical].

posted by Wolfdog on Aug 17, 2006 - 18 comments

posted by Wolfdog on Aug 17, 2006 - 18 comments

Sphere and circle arrangements, the Droste effect, and more: mathematical imagery by Jos Leys. The Droste effect article is informative, too.

posted by Wolfdog on Jun 29, 2006 - 8 comments

posted by Wolfdog on Jun 29, 2006 - 8 comments

The Sarong Theorem Archive is the premier online repository for pictures of mathematicans in sarongs proving theorems.

posted by Wolfdog on Feb 28, 2006 - 24 comments

posted by Wolfdog on Feb 28, 2006 - 24 comments

Project Euler is a running contest of programming challenges to hone your algorithm skills.
*"Each problem is designed according to a 'one-minute rule', which means that although it may take several hours to design a successful algorithm with more difficult problems, an efficient implementation will allow a solution to be obtained on a modestly powered computer in less than one minute."*

posted by Wolfdog on Aug 20, 2005 - 11 comments

posted by Wolfdog on Aug 20, 2005 - 11 comments

The Spidron is an interesting geometric construction that seems to lend itself to folding, dissection, and space-filling in two and three dimensions.

posted by Wolfdog on Jul 17, 2005 - 9 comments

posted by Wolfdog on Jul 17, 2005 - 9 comments

Michael Hutchings' rope trick and Dylan Thurston's two-handed knot-drawing sk1llz. Did you need to kill some time practicing pointless skills today?

posted by Wolfdog on May 6, 2005 - 12 comments

posted by Wolfdog on May 6, 2005 - 12 comments

The universe in just two symbols. The rest, as they say, is details. No wonder the "Physics Establishment" is trying to keep this quiet. The author, having conquered the universe in general, tackles poetry, as well.

posted by Wolfdog on Dec 8, 2004 - 20 comments

posted by Wolfdog on Dec 8, 2004 - 20 comments

Minimal surfaces in 3D (red/green, or stereo pairs), with rotate and zoom. If you want to go beyond the eye-candy aspect, here's the obligatory Mathworld link, the classic intuitive explanation, and a raft of additional information. If you *like* eye-candy, don't miss the ray-traced minimal surfaces and these interesting, but non-minimal surfaces.

posted by Wolfdog on Dec 5, 2004 - 7 comments

posted by Wolfdog on Dec 5, 2004 - 7 comments

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