This type is based on fractals in 4 dimensions using Quaternion math. Despite the complex sounding theory though, we can see that the detail is effectively one or two-dimensional with the 3rd dimension being turned into a whipped cream smoothie. I have my doubts that the 4th dimension fares any better. Looks tasty though. (Note that these images are in fact based on the Julia set, which is closely related to the Mandelbrot).
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I can get behind that, even though the chewing gum strings are bent and curved in 3D, the detail is smeared across one dimension, it's very similar across the curve and doesn't vary much. So in some sense, you can't "really" say that it's got 3D detail.
That's a little bit strong IMO, because all the curves are at different angles from eachother, so they do form a kind of detailed fractal shape as a whole, but the awesome spirals and coral shapes are lost as mere ridges in the taffy strings.
So it's not quite only aesthetics he's been looking for, but also a fractal that really does exhibit detail uniformly in all 3 dimensions.
http://www.skytopia.com/project/fractal/mandelbrot.html
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This type is based on fractals in 4 dimensions using Quaternion math. Despite the complex sounding theory though, we can see that the detail is effectively one or two-dimensional with the 3rd dimension being turned into a whipped cream smoothie. I have my doubts that the 4th dimension fares any better. Looks tasty though. (Note that these images are in fact based on the Julia set, which is closely related to the Mandelbrot).
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I can get behind that, even though the chewing gum strings are bent and curved in 3D, the detail is smeared across one dimension, it's very similar across the curve and doesn't vary much. So in some sense, you can't "really" say that it's got 3D detail.
That's a little bit strong IMO, because all the curves are at different angles from eachother, so they do form a kind of detailed fractal shape as a whole, but the awesome spirals and coral shapes are lost as mere ridges in the taffy strings.
So it's not quite only aesthetics he's been looking for, but also a fractal that really does exhibit detail uniformly in all 3 dimensions.