Monday, January 25, 2010
Euler's Identity may be key
.
I can't believe I somehow missed this beautiful piece of mathematics from Leonard Euler. Perhaps I just wasn't ready for it at 21.
Today, while perusing modblog, I came across this beautiful piece that some guy decided to print on his back (the hard way).
For about a decade, I've thought that when we figure out the connection between pi and e, we would be able to get a handle on the nature of the universe, since both of them are transcendental numbers. The fact that this knowledge has existed for centuries already obviously means either that I was wrong, or that we haven't dug deeply enough into this secret. I am actually amazed, almost tearful, at the beauty of this equation, because not only does it have e and pi, but it also has 0, 1, and i, which are pretty much the other top three starting/continuing points of the mathematical universe.
Just... wow. I guess I'm just behind the times. Now, to study up. It might take a lifetime or more to figure this one out. Maybe I'll get lucky. Then again, I still haven't learned circular breathing for the didgeridoo either.
lyrics:
"A torus is a geometer's thing.
It's a ring encircling a ring.
They come in many sizes and shapes.
And they have wings.
The ring torus, most common, is king.
The spindle torus has a football-shaped thing.
The horn torus has deep meaning.
A single point in the center,
Where everything comes together.
At a special place called the origin.
Where at every instance we always begin.
At this nexus we're creating our spirit
Our here and our now touching everything near it.
The pictures are denser than poetry knows,
So I'll try and explain it less densely in prose.
colors:
mood: busy.
chant/prayer/mantra: Revelation is not corked.
pax hominibus,
agape to all,
joel
I can't believe I somehow missed this beautiful piece of mathematics from Leonard Euler. Perhaps I just wasn't ready for it at 21.
Today, while perusing modblog, I came across this beautiful piece that some guy decided to print on his back (the hard way).
For about a decade, I've thought that when we figure out the connection between pi and e, we would be able to get a handle on the nature of the universe, since both of them are transcendental numbers. The fact that this knowledge has existed for centuries already obviously means either that I was wrong, or that we haven't dug deeply enough into this secret. I am actually amazed, almost tearful, at the beauty of this equation, because not only does it have e and pi, but it also has 0, 1, and i, which are pretty much the other top three starting/continuing points of the mathematical universe.
Just... wow. I guess I'm just behind the times. Now, to study up. It might take a lifetime or more to figure this one out. Maybe I'll get lucky. Then again, I still haven't learned circular breathing for the didgeridoo either.
lyrics:
"A torus is a geometer's thing.
It's a ring encircling a ring.
They come in many sizes and shapes.
And they have wings.
The ring torus, most common, is king.
The spindle torus has a football-shaped thing.
The horn torus has deep meaning.
A single point in the center,
Where everything comes together.
At a special place called the origin.
Where at every instance we always begin.
At this nexus we're creating our spirit
Our here and our now touching everything near it.
The pictures are denser than poetry knows,
So I'll try and explain it less densely in prose.
colors:
mood: busy.
chant/prayer/mantra: Revelation is not corked.
pax hominibus,
agape to all,
joel
Labels: Math, metaphor, personal bookmarks, Process Thought, theology