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Published: 2008-08-20 22:46:37 +0000 UTC; Views: 1181; Favourites: 21; Downloads: 43
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Description So here are some invaders with order 4 rotation symmetry. There is one invader of the first generation, 100 invaders of the second generation (they are 10 times smaller), and finally 10000 invaders of the third generation (again 10 times smaller), for a total of 10101 invaders. As there are only 2^16 = 65536 types of invaders with this symmetry and that in this image they are picked randomly, it is almost certain (see the birthday problem [link] ) that some invaders show up twice in the image. Try to find them...

The image was rendered without antialiasing, at size 1000x1000 so that each invader of third generation occupies exactly 8x8 pixels.

Made in Ultrafractal.
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Comments: 8

WelshWench [2008-08-24 11:23:40 +0000 UTC]

Fascinating image

👍: 0 ⏩: 0

Kymemy [2008-08-23 01:28:42 +0000 UTC]

I could spend forever just looking at it...
Amazing. It's intriguing.

👍: 0 ⏩: 2

s31415 In reply to Kymemy [2008-08-23 13:07:23 +0000 UTC]

Very good ! That's what I'm aiming for in each of my images.

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Kymemy In reply to Kymemy [2008-08-23 01:30:03 +0000 UTC]

That came out wrong. What I mean to say is, it's so very interesting and amazing to me! This one in particular has me hooked.

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cyberxaos [2008-08-21 21:43:54 +0000 UTC]

Kewl!

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Aspartam [2008-08-21 08:24:04 +0000 UTC]

What a game ! Clever design.

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Pasternak [2008-08-21 03:18:32 +0000 UTC]

the gradient in this one is awesome... how are you doing this in ultrafractal? a custom formula?

👍: 0 ⏩: 1

s31415 In reply to Pasternak [2008-08-21 08:42:44 +0000 UTC]

Yes, all of my images are made with the same coloring algorithm on a pixel formula. The invaders are implemented as a class.

About gradients, I use the "smooth gradient" tool of apophysis on my older images to have a large library...

👍: 0 ⏩: 0