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Home > Fractal Experiments :: Stephen Ren

Most viewed - Fractal Experiments :: Stephen Ren
compoundStar0_907297-2_3552-0_2.jpg
"Compound Star," by Stephen Ren283 viewsThis image is centered on 0.9073 + 2.354i, and is magnified 50x from the original fractal. This figure shows up repeatedly within the fractal, not only in isolation, but often within in other patterns and figures. This particular pattern bears resemblance to the Kneser’s Chi-Star function. This image was created with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals. --- Stephen Ren
pyramid-4_125_0_0_15.jpg
"Pyramid," by Stephen Ren272 viewsThis image is centered on -4.125, magnified 40x from the original fractal. The overall shape of this figure is just barely visible in the complete depiction, but, as shown in this image, it is heavily laced with detail. This figure is particularly interesting because it is set apart from the rest of the “main” fractal body, and further so far I had not found it repeated elsewhere in the fractal. This image was created with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals. --- Stephen Ren

HeartOfTheFractal.jpg
"Heart of the Fractal," by Stephen Ren266 viewsThis image is centered on 0.170938545, and is magnified 6000x from the original fractal. This figure can be found repeated in many areas along the real axis, though it is often deeply blurred in a larger figure. This image is generated with 400 iterations of tetration. See hi-resolution versions of Tetration Fractals. --- Stephen Ren
negativeFlower.jpg
"Negative Flower," by Stephen Ren262 viewsThis image is centered on -2.5, and is focused on the somewhat hexagonal figure found primarily to the left of the imaginary axis. This is magnified 3x from the overall image. This image was generated with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals. --- Stephen Ren
RollingFlames.jpg
"Rolling Flames," by Stephen Ren261 viewsThis image is centered on 0.9717 + 2.21i, and depicts an endless sequence of “compound-star” figures. This image was produced with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals. --- Stephen Ren
center0-0-6.jpg
"Center0-0-6," by Stephen Ren254 viewsThis is the main fractal, and all the other images in this gallery are zoomed in from here. This image is centered on the origin, with the real axis ranging from -6 to 6 and the imaginary ranging from -3.375i to 3.375i . This image was generated with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals . --- Stephen Ren
Wisdom_-1_5798_0_0_0009.jpg
"Wisdom," by Stephen Ren252 viewsThis image is centered on -1.5798, and is magnified 6500x from the original fractal. It is generated with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals. --- Stephen Ren
   
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American Mathematical Society