From: To: Subject: [eternity] Digest Number 17 Date: Thursday, July 08, 1999 4:44 AM --------------------------- ONElist Sponsor ---------------------------- ONElist: your connection to online communities. ------------------------------------------------------------------------ There are 24 messages in this issue. Topics in today's digest: 1. Re: Eternity Digest Attachments From: "Bob Harris" 2. Let me introduce myself and my thoughts From: Eugene Gill 3. Re: Who are You ? From: N B 4. Re: Who are You ? From: "Dunne, Mike" 5. FW: [eternity] Who are You ? From: Eugene Gill 6. Re: Complexity From: whuang@ugcs.caltech.edu (Wei-Hwa Huang) 7. Re: Complexity From: Udo Baumgartner 8. bios From: redbaron@cix.compulink.co.uk (Richard Marsden) 9. Re: Complexity From: Morgan Gary 10. Against the grain... From: Morgan Gary 11. parity spreadsheet values From: "Steve Barley" 12. Re: Against the grain... From: =?iso-8859-1?q?Richard=20Heath?= 13. Re: parity spreadsheet values From: path@multipro.com.au 14. Representation of playing field and players! From: "Ruxton, Alison" 15. hello again & parity question From: James Kittock 16. Re: Against the grain... From: path@multipro.com.au 17. Re: status + complexity From: lace@cix.co.uk (Mike Leigh) 18. Re: So, who are you guys, anyway ? From: Lakshminarayan Dutt Bobba 19. Re: Complexity From: "Thomas Voigt" 20. No Help there (was Re: [eternity] Let me introduce myself and my thoughts) From: "Thomas Voigt" 21. who are you. From: BERIL SONMEZ 22. Re: Opinion please From: "Steve Nicholls" 23. Fermat Theoreme From: "Ing. Marco Polazzo" 24. Ecentricity & retrospect From: Morgan Gary _______________________________________________________________________________ _______________________________________________________________________________ Message: 1 Date: Wed, 07 Jul 1999 07:05:23 -0500 From: "Bob Harris" Subject: Re: Eternity Digest Attachments I've been getting my eternity mail in digest form, which is how I want it. However, the digest does not seem to include attachments. All you get is a little note: "[This message contained attachments]". Does anyone know how to get the attachments while receiving the mail in digest mode? _______________________________________________________________________________ _______________________________________________________________________________ Message: 2 Date: Wed, 7 Jul 1999 13:33:24 +0100 From: Eugene Gill Subject: Let me introduce myself and my thoughts Hello All Sorry I've only looked at a few of the mails in the previous digests so I'm sorry if I'm not clued up on the current issues in this discussion. Anyway this is me. Name: Eugene Gill Occupation: Software Engineer Not and active puzzle solver, but intrigued by Eternity. I did manage to solve the Rubik's cube (my own solution -not from a book) when I was a kid. I haven't bought the puzzle yet, and I am still in the early stages of writing a program. Firstly, As far as I can see there are at least 12 solutions to the puzzle (6 rotations X 2 inversions), I read a post which said there were at least 22 solutions, was this a mistake or have I missed something. I don't have any experience in solving this kind of puzzle, so I am ignorant of some of the themes explored in the discussions I've read so far. I am writing a program in VC6 at the moment, I haven't been able to spend much time on it yet, and I'm not sure exactly how I'm going to tackle the problem, but I have begun to wirte code to provide a suitable model for the grid and the pieces. I have noted that going "against the grain" can occur in 3 directions. I understand the issues surrounding going "against the grain", but I do not understand the parity issues. What exactly is meant by parity ? One thing that I have noticed (perhaps obvious)is that the edge adjacent to the 30 degree angle of a right-angled triangle can only abut a similar edge. There are 48 such edges described on the outside of the grid. So only a limited number of pieces can be placed in these positions. Can anyone calculate the number of combinations that can be created just to fill these edges ? Another tack occurs to me. One possible way to tackle the problem would be to reverse engineer it. I am assuming that the following features of CMs pieces are correct - - All of the pieces are asymetrical thus ensuring that flipping a piece results in another unique piece. - All of the pieces are the same size - equivalent to 6 Equilateral or 12 right-angled trianagles. - None of the pieces have a 30 degree protusion, or a 30 degree recess. If the above is true then finding an algorithm which can break up the complete grid in to CMs pieces might be one way of solving it. Perhaps the grid could be broken into 209 randomly created pieces which do not follow the above rules which are then mutated (with consequences on adjacent pieces) into CM's pieces. On this issue has anyone calculated how many pieces can be created which follow CMs rules. Is the set of 209 peices a complete set a small subset or a large subset? Thank you Eugene Gill - Software Engineer Net Monitor Ltd Brighton UK _______________________________________________________________________________ _______________________________________________________________________________ Message: 3 Date: Wed, 07 Jul 1999 05:45:25 PDT From: N B Subject: Re: Who are You ? I'm interested to hear the most pieces fitted so far by anyone who has written their own solver program. I've got a solver up and running but I'm using my own encoding of the pieces and I've only typed in two so far (so thats all it has fitted!) Also, I've seen two recent postings from people whose copy of the Swiss Knife screensaver has reached 161 pieces so far. My copy has also only got as far as this, which seems quite a big conincidence. Nick _______________________________________________________________________________ _______________________________________________________________________________ Message: 4 Date: Wed, 7 Jul 1999 13:52:51 +0100 From: "Dunne, Mike" Subject: Re: Who are You ? 192 is my best before getting stuck (but I haven't been trying for the last couple of weeks). Before, I stopped, I was regularly get into the mid 180's. If a number of people are interested, I may do a screensaver version (or maybe as an NT service). The screensaver version won't have any cool graphics though (I don't have the time to code it). -----Original Message----- From: eternity [mailto:eternity@onelist.com] Sent: 07 July 1999 05:45 To: Dunne, Mike; eternity Subject: Re: [eternity] Who are You ? From: N B I'm interested to hear the most pieces fitted so far by anyone who has written their own solver program. I've got a solver up and running but I'm using my own encoding of the pieces and I've only typed in two so far (so thats all it has fitted!) Also, I've seen two recent postings from people whose copy of the Swiss Knife screensaver has reached 161 pieces so far. My copy has also only got as far as this, which seems quite a big conincidence. Nick --------------------------- ONElist Sponsor ---------------------------- ONElist: your connection to people who share your interests. ------------------------------------------------------------------------