recently i've been quite bored with my job with a fair bit of spare time on my hands. i started watching documentaries on maths and physics (always things that were slightly beyond my feeble brain). anyhow, recently, i was reading around on the Golden Ratio as it may be important in my future career aspirations.
the Golden Ratio is a ratio that has been defined by various mathematicians at different points in history. it is important in nature, as it defines many different things such as how a plant grows, how different animals spiral their shells and how big your torso is in comparison to your legs. (it has been identified that humans with more examples of the Golden Ratio in their anatomical structure are considered more conventionally attractive and the Golden Ratio forms the basis of Leonardo's Vitruvian Man.)
the Golden Ratio is also linked with the Fibonacci sequence, a sequence starting with 0, 1, 1, 2, 3, 5, 8... where the next number in the sequence is made up by adding the previous two numbers. this also makes itself known in nature. for example, in the lineage of male bees, and in the branching pattern of trees. the number of petals on a flower are often numbers in the Fibonacci sequence.
my aimless rambling leads me to this: a 13 year old boy identified in 2011 that if you align solar panels in a branching structure like trees using the Fibonacci sequence, it increases their efficiency 20-50%. he has patented this idea, which no doubt will be very prosperous for him in future years.
so back to my original point - a 13 year old has left his legacy in the world already in the form of an important breakthrough in sustainable energy whereas i, a 25 year old, am resigned to watching documentaries on YouTube