Pebbles on the beach Newton picked up the pebbles on his metaphoric beach with an intellectual objective in mind, but his ancestor in paleolithic times picked up real minerals because he enjoyed looking at them: quite inadvertently he started the chain of practice and craftsmanship and thought that led to the diversity of specialized materials and generalized theory today. More like the early Homo sapiens than the sixteenth-century intellectual giant I have enjoyed a life of rather undisciplined wandering and search. Apologia searchcuriosity
Marginalia Search A Website search.marginalia.nu I want to show you that that Internet you used to go exploring is still very much there. There are still tons of small personal websites, and a wealth of long form text from both the past and the present. So it's a search engine. It's perhaps not the greatest at finding what you already knew was there, instead it is designed to help you find some things you didn't even know you were looking for. The art of finding what you didn’t know you were looking forIn Defense of BrowsingMillion Short micrositessearchdiscoveryserendipity
Million Short A Website millionshort.com Million Short makes it easy to discover sites that just don't make it to the top of the search engine results for whatever reason – whether it be poor SEO, new site, small marketing budget, or competitive keywords. The Million Short technology gives users access to the wealth of untapped information on the web. Marginalia Search searchwww
A brief foray into vectorial semantics An Article by James Somers jsomers.net One of the best (and easiest) ways to start making sense of a document is to highlight its “important” words, or the words that appear within that document more often than chance would predict. That’s the idea behind Amazon.com’s “Statistically Improbable Phrases”: Amazon.com’s Statistically Improbable Phrases, or “SIPs”, are the most distinctive phrases in the text of books in the Search Inside!™ program. To identify SIPs, our computers scan the text of all books in the Search Inside! program. If they find a phrase that occurs a large number of times in a particular book relative to all Search Inside! books, that phrase is a SIP in that book. mathmeaningwordsnotetakingsearchchance
Wang tiles Wang tiles (Hao Wang, 1961) are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting them. The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern. In 1966, Wang's student Robert Berger solved the problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem then implies the undecidability of Wang's tiling problem. Wikipedia en.wikipedia.org Truchet TilesThe Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy mathalgorithms