https://pinboard.in/u:earth2marsh/public/ recent bookmarks from earth2marsh 2026-05-02T16:50:58+00:00 https://www.quantamagazine.org/hobbyist-finds-maths-elusive-einstein-tile-20230404/ earth2marshA natural next question, Greenfeld said, is whether mathematicians can identify some sort of source for the new tilings. In 1981, Nicolaas de Bruijn showed(opens a new tab) that Penrose tilings are the two-dimensional shadows of pieces of periodic five-dimensional tilings. “If the dynamics or the structure of these [new] tilings correspond to some higher-dimensional regular tiling, this will be extremely interesting to know,” Greenfeld said.]]> math tiles patterns primes tiling https://pinboard.in/ https://pinboard.in/u:earth2marsh/b:9ac0c5a63aa5/ 2025-09-15T05:05:03+00:00 https://www.quantamagazine.org/self-assembly-gets-automated-in-reverse-of-game-of-life-20250910/ earth2marshIn cellular automata, simple rules create elaborate structures. Now researchers can start with the structures and reverse-engineer the rules]]> math code automata cellular https://pinboard.in/ https://pinboard.in/u:earth2marsh/b:801c25281d4f/ 2024-05-20T18:49:10+00:00 https://www.nytimes.com/2020/12/28/science/math-conway-game-of-life.html earth2marsh programming math article history automata life https://pinboard.in/ https://pinboard.in/u:earth2marsh/b:e95ab2523a12/ 2023-11-03T01:36:54+00:00 https://www.youtube.com/watch?v=mNj6Z5CbUB0 earth2marsh strategy games connectfour math https://pinboard.in/ https://pinboard.in/u:earth2marsh/b:778a5df67645/ 2023-08-18T00:31:16+00:00 https://insights.som.yale.edu/insights/better-way-to-divide-the-pie earth2marshhe first is the power perspective. Alice starts with more power—her fallback of 4 slices is twice as good as Bob’s—so she should get twice as much: 8 slices for Alice and 4 for Bob. The second is the fairness perspective. The two sides focus on what each ends up with. In this scenario, they divide the pizza in half: Alice gets 6 slices and Bob gets 6 slices. There is a different—and more logical—way to divide the pizza. It’s more logical because it focuses on what the negotiation is really about: the extra 6 slices created by an agreement. If Alice and Bob don’t reach a deal, they will have a total of 4 + 2 = 6 slices. If they reach a deal, they will have a total of 12 slices. The value of reaching a deal is to go from 6 to 12 slices. That increase of 6 slices is what’s at stake or what I call the negotiation pie. To get those 6 slices, Alice and Bob are equally needed. Because they have equal power, the 6 slices should be split equally. In addition, each side gets their fallback. 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That is, cooperation will emerge if the benefit-to-cost (B/C) ratio of cooperation is greater than the average number of neighbors (K).]]> evolution competition games cooperation math science medicine https://pinboard.in/u:earth2marsh/b:cb66b6f1574d/ 2007-07-20T00:58:08+00:00 http://www.williams.edu/Mathematics/rdeveaux/talks/music.pdf earth2marshmath statistics stats thinking teaching https://pinboard.in/u:earth2marsh/b:296613351eb6/ 2007-07-10T18:46:05+00:00 http://recursed.blogspot.com/2006/12/prime-game.html earth2marshMath Prime primes interesting game https://pinboard.in/u:earth2marsh/b:7f5e3050f7db/ 2007-06-15T21:10:14+00:00 http://physorg.com/news100885716.html earth2marsh articles math Science efficiency flow https://pinboard.in/u:earth2marsh/b:f51c90db51be/ 2007-06-12T20:09:51+00:00 http://www.msri.org/people/members/sara/articles/hat.html earth2marsh math Mathematics Puzzle logic science code programming theory strategy statistics https://pinboard.in/u:earth2marsh/b:43517f75d371/ 2007-05-09T14:54:50+00:00 http://headrush.typepad.com/creating_passionate_users/2006/11/why_does_engine.html earth2marsh education learning Science math engineering article teaching Books https://pinboard.in/u:earth2marsh/b:f9228218fc19/ 2007-04-27T20:29:33+00:00 http://www.scottaaronson.com/democritus/lec9.html earth2marshphysics quantum science math mathematics mechanics https://pinboard.in/u:earth2marsh/b:cdbffe53996b/ 2007-04-27T18:50:08+00:00 http://www.teknikus.dk/tj/gdc2001.htm earth2marshphysics programming games Math reference https://pinboard.in/u:earth2marsh/b:bafc07bb4c29/ 2007-04-26T02:05:25+00:00 http://www.yudkowsky.net/bayes/bayes.html?repost earth2marsh computer education howto learning math mathematics probability bayesian bayes statistics reference https://pinboard.in/u:earth2marsh/b:93a5ff6b396d/ 2007-04-19T01:21:15+00:00 http://en.wikipedia.org/wiki/Euler's_identity earth2marshmath euler pi e equation explanation visualization https://pinboard.in/u:earth2marsh/b:e21f8a675e62/ 2007-04-11T18:27:00+00:00 http://video.google.com/videoplay?docid=8576072297424860224&q=hofstadter earth2marsh philosophy AI language video math logic patterns computers hofstadter https://pinboard.in/u:earth2marsh/b:1924993d86c9/ 2007-02-15T12:37:24+00:00 http://flickr.com/groups/equirectangular/discuss/72057594138421542/ earth2marshmath Panorama photo technique Photography https://pinboard.in/u:earth2marsh/b:59b6fc817089/ 2007-02-15T12:22:43+00:00 http://www.complang.tuwien.ac.at/~schani/mathmap/ earth2marsh gimp math graphics plugin photography Escher manipulation technique https://pinboard.in/u:earth2marsh/b:75f4d24e7881/ 2007-02-07T16:51:18+00:00 https://www.angio.net/pi/ earth2marsh pi math cool search strings https://pinboard.in/u:earth2marsh/b:d33a5eda82ea/ 2007-01-26T18:18:22+00:00 http://instacalc.com/ earth2marshcalculator embed online cool math spreadsheet collaboration https://pinboard.in/u:earth2marsh/b:1cb443678f04/ 2006-08-04T13:33:02+00:00 http://richardbowles.tripod.com/neural/neural.htm earth2marshNeuralNetworks AI algorithms programming math reference https://pinboard.in/u:earth2marsh/b:b7380186e2bd/ 2006-08-02T18:37:44+00:00 http://www.easycalculation.com/bandwidth-calculator.php earth2marsh file math online tool tools calculator convert https://pinboard.in/u:earth2marsh/b:c3dc3fce1ffd/ 2006-06-20T17:14:59+00:00 http://plus.maths.org/issue3/marriage/index.html earth2marsh mathematics math optimization cool https://pinboard.in/u:earth2marsh/b:6b59642bf07a/ 2006-04-11T20:15:04+00:00 http://www.claymath.org/millennium/P_vs_NP/ earth2marsh computer science math problem https://pinboard.in/u:earth2marsh/b:42b9bdddb76c/ 2006-03-27T16:37:59+00:00 http://www.math.wisc.edu/~propp/srat-Q earth2marsh logic puzzle test math quiz humor https://pinboard.in/u:earth2marsh/b:ce224f3347b5/