I am not a mathematician, but a biologist. When I was a young boy I was fascinated by the infinity of images obtained with two parallel mirrors, or by a box of some article showing the picture of a man with a similar box in his hand. The picture of the box showing a picture of a man... I asked myself : is it endless ? Theoretically yes, but actually no ? My first experience of recursivity. I discovered fractals with a paper of a friend (a mathematician) showing how it was possible to compute a Koch curve on an Apple II with Basic (remember that, in the past, Basic was not a recursive language !). I obtained later the same result with a small program made with LOGO (the "turtle and pencil" language created to initiate children).
I discovered FRACTINT with release 16.1 in 1992 but I made progress in my results when I saw the pictures posted in alt.binaries.pictures.fractals
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