# On one fractal property of the Minkowski function

## TL;DR

This paper investigates a specific fractal property of the Minkowski function, demonstrating that it does not preserve the Hausdorff-Besicovitch dimension, which has implications for understanding its geometric behavior.

## Contribution

The article reveals that the Minkowski function does not preserve the Hausdorff-Besicovitch dimension, providing new insights into its fractal properties.

## Key findings

- Minkowski function does not preserve Hausdorff-Besicovitch dimension
- Results presented at a scientific conference in 2011
- The study contributes to fractal geometry understanding

## Abstract

It is shown in the present article that the Minkowski function does not preserve the Hausdorff-Besicovitch dimension. Results of this article were presented by the author of this article on the Second Interuniversity Scientific Conference on Mathematics and Physics for Young Scientists in April, 2011 (Links to the conference paper (in Ukrainian): www.researchgate.net/publication/301637057, www.researchgate.net/publication/311665828. A link to the presentation (in Ukrainian): www.researchgate.net/publication/303752636).