# Cross-sections of multibrot sets

**Authors:** Line Baribeau, Thomas Ransford

arXiv: 1701.05535 · 2017-01-20

## TL;DR

This paper investigates the intersection of multibrot sets with specific rays in the complex plane, providing insights into their geometric structure and properties.

## Contribution

It characterizes the intersection of multibrot sets with rays where ^{d-1}=\u00b11, revealing new geometric features.

## Key findings

- Identifies the intersection points of multibrot sets with certain rays.
- Provides a detailed description of the structure of these intersections.
- Enhances understanding of multibrot set geometry.

## Abstract

We identify the intersection of the multibrot set of $z^d+c$ with the rays ${\mathbb R}^+\omega$, where $\omega^{d-1}=\pm1$.

## Full text

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## Figures

3 figures with captions in the complete paper: https://tomesphere.com/paper/1701.05535/full.md

## References

5 references — full list in the complete paper: https://tomesphere.com/paper/1701.05535/full.md

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Source: https://tomesphere.com/paper/1701.05535