mersenneforum.org Search Results
 Register FAQ Search Today's Posts Mark Forums Read

 Showing results 1 to 16 of 16 Search took 0.01 seconds. Search: Posts Made By: EdPeggJr
 Forum: Puzzles 2017-01-07, 00:22 Replies: 44 Views: 10,644 Posted By EdPeggJr Your solution for a(26) here uses each rectangle... Your solution for a(26) here uses each rectangle exactly twice, with all in different orientations. I have a similar solution for a(10), and no others.
 Forum: Puzzles 2017-01-05, 17:56 Replies: 44 Views: 10,644 Posted By EdPeggJr Many of those are unexpectedly wild. I didn't... Many of those are unexpectedly wild. I didn't foresee the variant solution for 18 to have such a range. I imagine the ranges for the standard problem will be much tamer by comparison.
 Forum: Puzzles 2017-01-04, 16:23 Replies: 44 Views: 10,644 Posted By EdPeggJr If it would be easy, for values up to 24 or so... If it would be easy, for values up to 24 or so (or whatever is easy), could you post solutions optimized for the most rectangles instead of the least rectangles? For example, in the Variant for...
 Forum: Puzzles 2017-01-02, 18:05 Replies: 44 Views: 10,644 Posted By EdPeggJr Very interesting solutions. This time, I already... Very interesting solutions. This time, I already managed to find some of those optimal solutions already, but it's good to have all of them. Which one of those required the most time to find?
 Forum: Puzzles 2016-12-30, 02:36 Replies: 44 Views: 10,644 Posted By EdPeggJr Thanks for the note. I've updated a(101). ... Thanks for the note. I've updated a(101). Any chance you can beat my a(99) = 27? That's my only value under 100 that goes past my upper bound. Another that might be easy to beat is a(60)=18.
 Forum: Puzzles 2016-12-28, 21:45 Replies: 44 Views: 10,644 Posted By EdPeggJr The new solutions amaze me. Mostly because I... The new solutions amaze me. Mostly because I came so close to the correct solutions with my non-optimal code. For 45-57, you gave improvements of 1,2,3,1,4,2,1,3,2,1,1,1,1 over my best solutions. ...
 Forum: Puzzles 2016-12-16, 04:03 Replies: 44 Views: 10,644 Posted By EdPeggJr https://oeis.org/A279596 https://oeis.org/A279596
 Forum: Puzzles 2016-12-14, 05:32 Replies: 44 Views: 10,644 Posted By EdPeggJr Great! I did find some of these earlier, and I... Great! I did find some of these earlier, and I found 5 and 12 today while I was doing some polishing, but I was far from getting the optimal results for quite a few of them. The current best...
 Forum: Puzzles 2016-12-12, 16:49 Replies: 44 Views: 10,644 Posted By EdPeggJr In the variant problem, divide a square of size N... In the variant problem, divide a square of size N into rectangles so that no rectangles are translations of each other. Minimize the difference between the largest area and smallest area. Basically,...
 Forum: Puzzles 2016-12-08, 16:49 Replies: 44 Views: 10,644 Posted By EdPeggJr What a difference a good overnight run can make. ... What a difference a good overnight run can make. I've found a good solution for square 61, and many other squares. Current values to a(120) are as follows: x, x, 4, 2, 3, 2, 2, 1, 2, 0, 2, 1, 1,...
 Forum: Puzzles 2016-12-08, 04:25 Replies: 44 Views: 10,644 Posted By EdPeggJr Sequence https://oeis.org/A278970 is known up to... Sequence https://oeis.org/A278970 is known up to a(44). Here are currently known best values up to 120. x, x, 4, 2, 3, 2, 2, 1, 2, 0, 2, 1, 1, 3, 1, 1, 2, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3,...
 Forum: Puzzles 2016-12-02, 20:34 Replies: 44 Views: 10,644 Posted By EdPeggJr One amusing method for tackling large squares... One amusing method for tackling large squares occurred to me. 1. Compile a catalog of perfect k-rectangle Blanche dissections of the unit square for various k from 7 to 16. Each rectangle in a...
 Forum: Puzzles 2016-12-02, 19:36 Replies: 44 Views: 10,644 Posted By EdPeggJr So far, we seem to have the sequence 2, 4,... So far, we seem to have the sequence 2, 4, 4, 5, 5, 6, 6, 8, 6, 7, 8, 6, 8, 8, 8, 8, 8, 9, 9, 9, 8, 9, 10, 9, 10, 9, 9, 11, 11, 10, 12, 12, 11, 12, 11, 10, 11, 12, 13, 12, 12 I also have...
 Forum: Puzzles 2016-12-02, 17:29 Replies: 44 Views: 10,644 Posted By EdPeggJr The new solutions look great. I'll need to... The new solutions look great. I'll need to incorporate them. I made a poster out of solutions to size 32. http://community.wolfram.com/groups/-/m/t/973362 In talks with Hannes Bassen,...
 Forum: Puzzles 2016-12-01, 05:12 Replies: 44 Views: 10,644 Posted By EdPeggJr I've posted an update of my own results to 999 at... I've posted an update of my own results to 999 at http://demonstrations.wolfram.com/MondrianArtProblem/ My method for these high numbers is to create perfect Blanche dissections using some of...
 Forum: Puzzles 2016-11-29, 19:44 Replies: 44 Views: 10,644 Posted By EdPeggJr Many thanks for the improved solutions. I found... Many thanks for the improved solutions. I found a few bugs in my coding. I'll be posting an update at http://demonstrations.wolfram.com/MondrianArtProblem/ in the near future.
 Showing results 1 to 16 of 16

All times are UTC. The time now is 17:32.

Sat Jan 16 17:32:20 UTC 2021 up 44 days, 13:43, 0 users, load averages: 1.94, 1.88, 1.76

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.