TonyM Further to my last an obvious fact is that outside maths conversion "standards" -- where for instance base-12 counts "... A, B, 10 ..."---a lot of everyday usage is "dual based". For instance "10, 11, 12" inches. And 12 inches IS 1 foot.
This actually corresponds to how most people have counted through history where "the turn" is dual. And counting is in "cycles" that transfer (optionally) to a different base at the "turns". So 3 feet IS 1 yard, but remains 36 inches too etc. As such they are both "based" and "un-based". And you could say "2 foot & 12 inches" and still be understood that its 1 yard. Just observations TT On Sunday, 13 October 2019 13:17:52 UTC+2, @TiddlyTweeter wrote: > > Ciao TonyM > > FYI I'm interested in the confluence of social (including historial) > counting and calculation. > > I find some of the widespread European decimal based (metric) systems poor > compared to the other base systems still widely used in UK & USA for > measures. > For instance ... > > - inch (12=1) foot (3=1) yard (220=1) furlong > - ounces (16=1) pound (14=1) stone > - nautical miles / knot > - Fahrenheit v Centigrade > > Historically there emerged all sorts of mixed-bases for practical > calculation, many still in use. > > WHY so? is a very interesting question. But comes down to the fact the > world is not divided into any particular system, rather the physical > attributes of a social context fostered different bases of calculation > matched to different ways of "carving it up" conceptually. > > Being able to think in different bases is particularly useful. > Since programmers can often think in other than base-10 (binary, octal & > hexadecimal are obvious cases) it might be interesting for them too to play > the social aspect, where "formal" calculation hits social praxis? > > A good example is "a baker's dozen" (base-13). Its a case where needed > utility built on from (base-12) maths. Another example is how nautical > miles are related to longtitude & latitude. > > This is somewhat different than looking within math itself as a > self-referential world with interesting patterns to find & enjoy for their > own sake. Also of great merit. > > Just thoughts. > TT > > TonyM wrote: > >> Folks, >> >> Join our Collaborative Project -* Numbers* >> >> Recent collaborative discussions and illustrated some interesting methods >> and challenges for our community. Words and Numbers. >> I thought I would initiate a couple to stimulate activity from the >> community, join in and contribute if you can otherwise lurkers are fine. >> >> *AIM: *Develop and improve the ability for people to interrogate large >> number lists with TiddlyWiki. Allow each number to be annotated with >> relationships to other numbers. >> >> *Inspiration: *Whatever your relationship to numbers, every number small >> or large has its own qualities, do you have a favorite number?, did you >> know the difference between 0 and one is either 1 or infinity?, Do you know >> about the beauty in the primes?, and that most of the common numbers 12 in >> a dozen, 24 hours a day, sixty seconds/minutes in a minute/hour and 360 >> degrees are all some of the most divisible numbers? >> >> - Let us stick to the counting numbers - integers to start with. >> - Let's have a way to annotate numbers with info we can share, >> manually, programmatically or by import >> - Learn more about numbers >> - Build various number related algorithms in Tiddlywiki >> - Identify primes, Squares, special number sequences >> - Find what sequences fit within other well known sequences >> >> Large lists present possible performance issues, Numbers can stay in a >> single data tiddler, or generated in a list until you make a single tiddler >> once you wish to add information to a given number. Canned search strings >> that may interest people would also be fun, like reoccuring palindromes.. >> >> *Where do we start?* >> >> - The best way to build a list of numbers and add annotations to each >> as desired >> - How do we best generate them? Look them up? >> - How do we annotate numbers (eg if a number has the field prime it >> is a prime number) >> - What code would identify and flag which numbers are prime, can it >> restart without returning to 1 if you extend you number set further? >> - Provide an easy to use way to list numbers with a shared nature, >> without necessarily re-computing >> - How to we share new number annotations and relationships we can add >> to our own list in a non-destructive way >> >> Lets get started Numberphiles. >> *A person who is a lover of numbers.* >> > -- You received this message because you are subscribed to the Google Groups "TiddlyWiki" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/tiddlywiki/45dba659-d26c-4078-92e6-ef2427cc5f24%40googlegroups.com.
