General Mathematics

    

The 3D Fractal Superset Which Contains the Mandelbrot Set Without Complex Numbers

Authors: Jaime Vladimir Torres-Heredia Julca

In this paper we will see that each vector of the 3D Euclidean vector space can be expressed with operations involving rotations of the unit vector of the x-axis. Thanks to that, we will define a new multiplication between vectors which is analogous to what we have seen in our previous paper viXra:2510.0152 without complex numbers. This operation will allow us to construct a 3D fractal set which contains the Mandelbrot set in the planes OXY and OXZ. We will show some cross sections of other parts of that 3D fractal set.

Comments: 17 Pages. 11 figures

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Submission history

[v1] 2025-12-31 17:55:15
[v2] 2026-01-23 21:01:17

Unique-IP document downloads: 243 times

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