# Lattice points close to a helix

## TL;DR

This paper establishes a lower bound on the maximum distance among three points in an affine lattice that are near a helix with small curvature and torsion, advancing understanding of lattice-helix interactions.

## Contribution

It provides a new lower bound for the maximum distance between three lattice points close to a small-curvature helix, a novel geometric insight.

## Key findings

- Lower bound for maximum distance among three lattice points near a helix
- Insights into lattice configurations close to curved structures
- Advancement in geometric lattice analysis

## Abstract

We obtain lower bound for the maximum distance between any three distinct points in an affine lattice which are close to a helix with small curvature and torsion.