tag:blogger.com,1999:blog-1325321154517773060.post5599236691165324086..comments2017-10-15T02:20:41.981+01:00Comments on Puzzling Times: Molnar's masterpieces Allard Walkerhttps://plus.google.com/114723914958643013807noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-1325321154517773060.post-33191707021280702422017-05-23T14:30:25.380+01:002017-05-23T14:30:25.380+01:00Hmm, it appears that the "landmark compendium...Hmm, it appears that the "landmark compendium" didn't come up, as I used angled brackets. Silly me. The missing title is "Winning Ways for your Mathematical Plays." I am fortunate to have both the 1982 two-volume original edition as well as the 2001-2004 four-volume second edition. A terrific wealth of information!Tyler Somerhttps://www.blogger.com/profile/02452919701143826347noreply@blogger.comtag:blogger.com,1999:blog-1325321154517773060.post-85933327106841985272017-05-20T13:56:20.601+01:002017-05-20T13:56:20.601+01:00Hi, Bob,
I have learned several solving hints for ...Hi, Bob,<br />I have learned several solving hints for such puzzles, but one that I find to be most effective is a 4-colour assignment for 3x3x3 cubes. I could never explain it as effectively as Conway, Berblekamp, and Guy in their landmark compendium . Once colours are added to the cubies of the pieces, then only certain solutions exist, or one can prove that certain colour combinations have no solutions. Once a 3x3x3 solution is found outside the box, the second puzzle is to insert the pieces in the restricted opening of the box. Some of these are straightforward, while others require a rotation of a piece or two within the box. (Good Luck!)<br /><br />I do not recommend trying to solve the 3x3x3 cube within the box without first solving ALL possible 3x3x3 solutions outside the box.<br /><br />So, for me, the solution process reduces to the elimination of contradictory cases, thus leaving just a few valid solutions to try to insert in the box.<br /><br />The bonus for me with such puzzles is, as I stated earlier, that the pieces themselves form a progression. This is mathematically very beautiful. Such puzzles are apex puzzles for me.Tyler Somerhttps://www.blogger.com/profile/02452919701143826347noreply@blogger.comtag:blogger.com,1999:blog-1325321154517773060.post-69726964001095925772017-05-13T18:59:31.098+01:002017-05-13T18:59:31.098+01:00What a fantastic trove of resources and a great id...What a fantastic trove of resources and a great idea to get grow the next generation of problem solvers (and puzzlers!) - Nice work, Bob! <br /><br />Essentially there's alsways going to be some element of trial and error with these sort of puzzles - the really good ones allow you to figure our sort of method for removing a significant number of the possibilities and keep it in the "fun" realm befroe it goes into the "brute-force exploration of every single possible combination" realm. (Or at least that's my theory!) Allard Walkerhttps://www.blogger.com/profile/02137859069894390167noreply@blogger.comtag:blogger.com,1999:blog-1325321154517773060.post-15316665990592199742017-04-26T04:43:28.238+01:002017-04-26T04:43:28.238+01:00Tyler, Allard.
How would one go about developing ...Tyler, Allard.<br /><br />How would one go about developing an appreciation for interlocking/burr type puzzles as exemplified in the L-I-Vators post? My cognitive blindness sees them as primarily exercises in trial & error. However with able guides (Kate Jones, George Hart, Doug Engel), blogs (Rob's, Jaap's), and books I've begun to glimpse the logical & mathematical elegance within many categories of puzzles. So for a few years I have been amassing & vetting a collection (625+) of mechanical puzzles and abstract games which we make available to K-12 student/teachers through our "student-curated" inquiry-based learning" resource center here in Virginia/USA.<br /><br />I could "cut my losses" and maintain a prejudice against interlocking/burr puzzles -- shunning their mere "aesthetic" appeal when I visit Wood Wonders, Cubicdissection, and Pelikan, but as an adherent of the Allardian Creed "I'm not a quitter!"<br /><br />BTW, if you would like to see pictures of our physical space in all of its "blinged out" glory, click the "Google Docs' link below -- which also leads to a teacher's guide to the Geometry-related puzzles, games, and references our Curiosity Shoppe has to offer: https://goo.gl/1i5pF9bnordlinghttps://www.blogger.com/profile/15974694114278347209noreply@blogger.comtag:blogger.com,1999:blog-1325321154517773060.post-46422417628157412952017-04-04T19:07:00.722+01:002017-04-04T19:07:00.722+01:00...yup, evil! In a good kinda way... :-)
...yup, evil! In a good kinda way... :-)<br />Allard Walkerhttps://www.blogger.com/profile/02137859069894390167noreply@blogger.comtag:blogger.com,1999:blog-1325321154517773060.post-6308945013986699782017-04-02T14:49:41.373+01:002017-04-02T14:49:41.373+01:00The two L-I-Vators are both brilliant designs, wit...The two L-I-Vators are both brilliant designs, with the progressions of adding voxels/cubies from smallest to largest pieces. Very satisfying, as the choice of pieces is not merely random, but is a complete study. (As a mathematician, I see a contest problem in there.) As for the puzzle solution process: gee, I must have gotten lucky, since I was able to solve both in about 30 minutes each. The same cannot be said about the BDSM puzzle, as this has taken me a few hours to solve. There is absolutely no doubt about it: BDSM is wicked!<br />-TylerTyler Somerhttps://www.blogger.com/profile/02452919701143826347noreply@blogger.com