Rabbits etc. Fibonacci.
A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive? The resulting numbers of rabbits, month by month form a series known as the Fibonacci series. I wrote a little program to work out… ooh… 1000 months worth of rabbits. Fibonacci to 1000 iterations This is the first 100 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 196418 317811 514229 832040 1346269 2178309 3524578 5702887 9227465 14930352 24157817 39088169 63245986 102334155 165580141 267914296 433494437 701408733 1134903170 1836311903 2971215073 4807526976 7778742049 12586269025 20365011074 32951280099 53316291173 86267571272 139583862445 225851433717 365435296162 591286729879…
The Barbie Sessions
A while back I saw this thing about “How To Use The Golden Mean To Dress Well“… although they’re it’s actually using the rule of 3rds (that photographers use) rather than Phi… 1.618. Which comes from this site here, which has lots of advice about “how to dress”, which I probably ought to take a look at, because I look like The Big Lebowski. Anyway… time passes, then I saw this: WHICH IS WRONG WRONG WRONG I don’t care if it does light up in the dark. The proportions aren’t (how you say) flattering. — So apparently someone named Tim Gunn has designed some clothes for Barbie. I have no idea who Tim Gunn is, but apparently he’s been on the television… and the outfits do look quite good, although I wouldn’t wear them myself. I did some golden-mean-checking on them… with the usual caveats about margin-of-error… And they’re pretty…
Golden Ratio Spaceship Design
Fantastic, in-depth analysis of the use of the Golden Mean in the design of the Starship Enterprise. … and the use of Vesica Piscis in the design of the Klingon ships Absolutely brilliant. I’d be interested to know if this was in fact Matt Jeffries’ methodology – from the look of the Klingon ship, it almost certainly was. The Enterprise… maybe. Artists do have a way of gravitating towards the golden mean without a specific conscious intent to do so I think. Still… whether deliberate or not, the designs definitely work. Only the most famous spaceship ever :)
Golden Guitars
Juha Ruokangas, luthier extraordinaire from Finland makes a range of utterly gorgeous guitars… the designs of which are built according to the golden mean. It’s not just skin deep… check the finish on this Now I know a little bit about guitars, on account of this being me, a year or two ago: And then a year or two later And these guitars from Finland are gorgeous. I’m totally going to get one of these at some point. When I become a little less broke :) The website has various making-off photos which are incredibly interesting if you like that sort of thing :). I like his philosophy-of-making as well. People seem to be really, really interested in the process by which things get made – to the extent that transparency can (and often does) take the place of advertising (which is generally bogus and manipulative). The artefact has become…
Golden Ratio Shelves
So I have this problem: I need to make some shelves. I need to make some shelves badly. … but then I thought “Why make them badly (like I normally do) when I could make them quite well?”. So I went to the Internets in search of inspiration. The ones I liked best were these Ooh I thought – those look a bit golden-meany… I wonder if… Sure enough. Nothing 100% exact of course – but pretty close. This is a good example of confirmation-bias though. The way that if we fixate on something, we filter out everything else and tend to see only what we want to see. This bookshelf looked like one of those puzzles where you need to figure out the number of squares: There are 40. The formula for this is “length² + (length-1)² + (length-2)²… and so on down to 1”. So for this puzzle…