Sunday, January 16, 2011

e scarf

Hi folks.
This is a quick, simple little stripy scarf, made mostly because I like the idea of contrasting multi-coloured yarn with a nice solid main colour.
The design is based on the number 'e', or Euler's number. It's a remarkable number, and I'd say it's the second most important irrational number out there, and rather sadly neglected.
Euler's number is the base of the natural logarithm, as well as cropping up in differential equations, limits of sequences, and compound interest. It's also related to pi by the rather amazing equation e^(i*pi)=-1.

So, the scarf -- the lengths of the stripes represent the digits of e: the first stripe has 2 rows, the second 7, the third 1, and so on, giving e=2.71... (In fact it uses pairs of rows, since this makes the colours come out nicer)
As with most irrationals, unless you know exactly what you're looking for the pattern appears to be random, so it's just a nice stripy scarf.

So there it is, stripy e scarf!
Hugh.

2 comments:

miya^^ said...

:) sweet!

Graham said...

are the digits of e really random? This made me curious.

http://www.mathpages.com/home/kmath519/kmath519.htm

(read / skim right to the end for the happy ending)