tag:blogger.com,1999:blog-6194683461018589909.post6471281451056997457..comments2024-02-05T07:47:58.635-05:00Comments on ZenPuzzler: Arranging Your Balls - PyradoxZenhttp://www.blogger.com/profile/05652862263935608644noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-6194683461018589909.post-18436357659750750362022-07-03T19:14:21.113-04:002022-07-03T19:14:21.113-04:00Actually, all are subsets of face-centered cubic, ...Actually, all are subsets of face-centered cubic, surprisingly!Georgehttps://www.blogger.com/profile/10140920751826036814noreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-61684658015073399602022-06-30T13:14:32.155-04:002022-06-30T13:14:32.155-04:00I was afraid that the post would discourage people...I was afraid that the post would discourage people from leaving the puzzle on a coffee table.Zenhttps://www.blogger.com/profile/05652862263935608644noreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-82389258631509026062022-06-30T10:20:23.566-04:002022-06-30T10:20:23.566-04:00You want The Art of Computer Programming, Volume 4...You want The Art of Computer Programming, Volume 4, Fascicle 5: Mathematical Preliminaries Redux; Introduction to Backtracking; Dancing Links. It has Dancing Links in the title, the algorithm used by Burr Tools.Georgehttp://www.gibell.net/noreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-8120229849154164232022-06-30T07:27:13.365-04:002022-06-30T07:27:13.365-04:00For the Knuth work, the Wiki shows a multi-volume ...For the Knuth work, the Wiki shows a multi-volume work with some complete and the rest is planned. Which chapter, please? And do I need this in my library?<br />For the puzzle, I can also attest that the three challenges are fun to solve. It is a good one to leave on the coffee table, for guests.<br />-Tyler.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-3580086125443649652022-06-29T23:12:10.318-04:002022-06-29T23:12:10.318-04:00Thank you for the update George! Perhaps we'll...Thank you for the update George! Perhaps we'll see a Don Knuth inspired exchange puzzle in the future.Zenhttps://www.blogger.com/profile/05652862263935608644noreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-42375069975390812072022-06-29T17:03:39.502-04:002022-06-29T17:03:39.502-04:00Don Knuth looked into this puzzle and even found a...Don Knuth looked into this puzzle and even found a piece which can build FOUR different pyramids, the fourth one being the 7x2 "roof". I had thought this was impossible, but the piece he found is non-planar, which I hadn't considered. He mentions this puzzle in his latest volume of The Art of Computer Programming.Georgehttp://www.gibell.net/noreply@blogger.com