# Definition of geometric space around analytic fractal trees using derivative coordinate funtions

Published on arXiv, my new paper on analytic tree fractals (a.k.a. as genetic fractals).

Author: Henk Mulder

Abstract: The concept of derivative coordinate functions proved useful in the formulation of analytic fractal functions to represent smooth symmetric binary fractal trees [1]. In this paper we introduce a new geometry that defines the fractal space around these fractal trees. We present the canonical and degenerate form of this fractal space and extend the fractal geometrical space to R3 specifically and Rn by a recurrence relation. We also discuss the usage of such fractal geometry.

## 4 thoughts on “Definition of geometric space around analytic fractal trees using derivative coordinate funtions”

1. Well done! How many papers does this make it?

I wish there were a similar publication for philosophy/theology.

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• Only the second. This is foundational stuff. Once the foundations are created, things evolve quickly. I have a 3rd paper in the making đŸ™‚

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2. I am really impressed that you do such kind of research as an independent scientist.

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• Thanks Elkement, and also for the kind tweets. This is all play, not work. I’m discovering toys in a new mathematical toy store having the time of my life!

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