7/17/2014—Big photo of Falcon 9R landing leg in factory
Tears for fears - Everybody wants to rule the world
This comment from Song meanings
First of all I wanted to say how deeply nostalgic this song makes me for the era in which it was written, especially the relative calm known as the Cold War.
Basically, the lyrics are quite prescient in that the speaker reminds the listener that political liberty and the pleasures of capitalism are all relatively new to the world scene and are not permanent. The speaker desires to live to the fullest during this special time in history by taking full advantage of its many pleasures and liberties before the true nature of the world, war and change, comes ‘round again at last.
Thus the song is a carpe diem song and yet the speaker is troubled by all the possibilities of how to seize this day— he is condemned to his own freedom in that he’s unsure how best to make use of his liberty— in other words, he feels the terror when one realizes although you can be almost anything, you cannot be everything. And yet he must decide because he he knows time is short.
Submitted by Smortypi:
I was reading about tornadoes on Wikipedia when I came across this photo. This kind of spiral is called a logarithmic spiral, right? I think it’s really neat to be able to see mathematics clearly reflected in nature
(Here’s the source. The html thing is being buggy and I can’t make a link https://en.wikipedia.org/wiki/File:Trombe.jpg)
Hi, Smortypi! From what I can tell, I think you’re correct, this spiral may be roughly logarithmic. For those of you who might never have heard about logarithmic spirals in nature, here’s a little bit of an explanation:
A logarithmic spiral is a self-similar spiral curve. The term self-similar is pretty self-explanatory, and is often used when talking about fractals. Here is a picture displaying a few fractals with very visible self-similarity:
However, self-similarity can be a little confusing when speaking in terms of a logarithmic spiral. How can a spiral be self-similar? Well, here’s the beautiful answer: as the size of a logarithmic spiral increases, it’s shape isn’t changed. This is believed to be the reason why the logarithmic spiral appears so often in nature. It is an efficient way for natural objects to grow without changing in shape. Here are some images of spirals in nature that are approximately logarithmic (these are from Wikipedia):
(^This is an arm of the Mandelbrot set. I suppose it isn’t “from nature”, but it’s still amazing.)
Please, please, please DON’T assume these are Fibonacci spirals. A Fibonacci spiral is only a certain type of logarithmic spiral. There are so many Fibonacci spiral misconceptions out there.
Poor Jacob Bernoulli: The mathematician Jacob Bernoulli was fascinated with the logarithmic spiral. He wanted one on headstone. Here is an image of his tombstone:
Along with the etched logoritmic spiral, Bernoulli wanted the Latin words, EADEM MUTATA RESURGO meaning, “Although changed, I shall arise the same”. Unfortunately, an error was made and these beautiful words were place around an Archimedean spiral, rather than a logarithmic one. Poor Bernoulli.
South - 9 lives