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Not for the faint of art.
Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.




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September 17, 2019 at 12:11am
September 17, 2019 at 12:11am
#966303
PROMPT September 17th

Today’s prompt is from Kittiara !

Did you have a comfort blanket/toy when you were little? What comforts you now?


The tears of my enemies.

Didn't everybody have a comfort thingie when they were a kid? I distinctly remember having a teddy bear. I don't know that I ever named it. No idea what happened to it. Probably "went off to live in the country." Oh, wait, my parents couldn't use that particular lie; we lived in the country already.

Recently, I was reading one of the science blogs I follow, and the guy posted a picture of the teddy bear he had when he was a kid. And this guy's quite a bit older than I am. I tend to keep things way beyond their usefulness, but not that. Very likely, my parents decided for me, like they did with my first comic book collection, for which I can never forgive them.

When I was 4, my parents obtained a collie. I suppose she would count, as well; she always slept near my bed. I named her "Lassie" because I was fucking four, okay? Oh, who am I kidding; I'm no more creative with names now than I was back then.

Only dog I ever had, that one. Lassie was a good dog. Had to be, to put up with kid-me.

I don't know if this counts as a comfort thing, but I can't sleep right unless there's a blanket. Even when it's really hot - which it hardly ever is, because I'm civilized and have climate-change-inducing central air conditioning - I have to have at least a light blanket. A sheet won't do. And yet, I kept sleeping with blanket-hogging chicks. My solution was to have an emergency blanket of my own. Bad enough to get into fights when you're awake; you don't want to do it when you're half asleep. Anyway, it doesn't matter much which blanket; any will do, even the shitty ones in hotel rooms.

I hear people talk about "comfort food" all the time. Honestly, I don't quite get it. Either I like a food or I don't. Since I've been restricting calorie intake, I haven't been eating my usual foods, and while I miss things like grilled cheese sandwiches, it's more about taste than comfort.

Pretty sure Brussels sprouts isn't anyone's comfort food.

Oh well, off to cook some Brussels sprouts.

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