Next on the agenda: Section “1: Dimensions”, as well as some posts of actual substance.

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Elevation-based colors, real-time magnification and borderless exploration are all in the works. The idea is to make it possible to explore the familiar Mandelbrot set fractal from an unfamiliar perspective and see how tasks like finding a minibrot are affected.

]]>Hypothesis: There are fractal patterns in nature that are of the escape-time variety.

To test this hypothesis, we can look for natural phenomena where, on one level, we see distinct components tracing recognizable orbits through some phase space (similar to the orbits of a single point near the boundary of the Mandelbrot set), and then if we step back, we see a larger fractal pattern being defined by the products of the distinct components (similar to the appearance of the familiar Mandelbrot set shape when many single points near the edge of the set are calculated). Some phenomena which seem good candidates for investigation: Bodies in a solar system, cells in multicellular organisms, and organisms in a society.

]]>Let me come clean right now: I hold no advanced degrees in mathematics, physical, or biological science; my background is environmental science and geographic information systems (GIS). I welcome input and feedback from mathematicians and those who hold advanced degrees in the sciences, but such folk are not my primary audience. My aim will be to write in such a way that most folks will be able to “get it”. You’ll have to let me know how successful I am.

So once again, good morning. It’s a going to be a great day.

Preparing Level 0: Defined.

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