# Errata to: the limiting curve of Jarnik's polygons

## TL;DR

This paper clarifies that the limit shape of Jarnik's polygonal curve is a circle, correcting previous claims of a parabola-based shape, and references the correct established proof.

## Contribution

It corrects the previously stated limit shape of Jarnik's polygons, confirming the circle as the true limit shape with proper references.

## Key findings

- The limit shape of Jarnik's polygons is a circle.
- Previous claims of a parabola-based shape are incorrect.
- The correct result has been established in prior work.

## Abstract

In this note we point out that the limit shape of the Jarnk polygonal curve [1] is the circle, not a curve consisting of arcs of parabolas as it has been stated in the main result of [2] (Section 2). The correct result has been established and proven in [4].