This entry came (to me) from working on the fractal spiral, the fractal wave, and de Broglie demand curve entries. I thought - as it is impossible to measure both time and distance - that it may be possible to measure - even if only in principle - the distance of the wavelength - based on a known dimension, the length of the triangle side (l).
Fig. 1 below shows the fractal and its (while developing) 'wave like' nature. It shows the wave takes 6 iterations to repeat or produce one cycle, but it does not show the length of the wave, the wavelength (λ).
Measuring the wavelength, an experiment.
I came to me that through a simple 'experiment', the wavelength (λ) may be measure, or at least better understood.
- Take the iteration 0 triangle, and post it on a wall.
- Cut out from a paper print the iteration 1 triangle from the fully developed Koch snowflake
- Hold the paper at arms length and sight the triangle 0 through the triangle 1 hole.
- The arm length will be known as a standard observation distance*
- Move forward or back with the paper extended at standard distance, and find the place where the triangle 0 appears the same size as triangle 1.
- Make a mark of this distance.
- Repeat the process, this time for triangle 2, mark the distance.
- Repeat the process, this time for triangle 3, mark the distance.
- Record the distances (in metres) then divide these distances by the triangle base length.
More to come.