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Heh, I couldn't even visualise these equation in my head if my life depended on it. The results are far too complex, and I can hardly even understand them even by looking at these pictures. I'm not exceptionally good at maths actually, but I know enough to create what I need.
Something we usually try to visualize while attempting to plug numbers into a equation in our head in a classroom.
Well it seemed like a pretty good idea when I thought of it and I was interested to see what sort of results I would get. I had nothing better to do anyway... and doing something productive which requires thinking and brain power is much more entertaining to me, especially when the results could be something amazing.
I love that you did this one day because "you were bored". At least you did something somewhat productive.
Well, I just meant the process I used to generate them wasn't anything highly unusual or highly complex. Although it was fairly unique, I haven't seen the same thing done before, but then again I can't say I've looked very hard.
What do you mean this isnt special? This is extraordinary. Its one of the best examples we have of how life is made.
Yah, some of the patterns are certainly very amazing, I didn't even program phi or pi into most of the images, in fact I don't think any of the images I posted here used anything but the X and Y values in some sort of equation. For instance the 3rd image, which is highly complex and includes wave-looking patterns, is produced via this equation:
I find it interesting that in your pictures their is a repetitive wave like a frequency.
No, there's no random components in them, the process was a purely deterministic mathematical process. However, you may notice that some of them break into a random fuzz of colours which seems to have no order. That is the nature of chaos theory. Simple equations can break into chaos and produce random looking results with no apparent order. That's what I guess is happening anyway.
Very interesting. Did you use a random seed, or increment values?
No, as I said, it's a purely "natural" mathematical process and nothing more.
I also think the patterns are too specific, more artificial than natural.