MaurerRoseLineRenderer.cs

using UnityEngine;

/// <summary>
/// Drawing a Maurer Rose With Unity - http://diegogiacomelli.com.br/drawing-a-maurer-rose-with-unity
/// </summary>
[RequireComponent(typeof(LineRenderer))]
public class MaurerRoseLineRenderer : MonoBehaviour
{
    const int PointsCount = 361;

    [SerializeField]
    float N = 2;

    [SerializeField]
    float D = 29;

    [SerializeField]
    float Scale = 5;

    Vector3[] _points;
    float _k;
    float _r;
    float _x;
    float _y;
    Vector3 _previousPosition;
    float _previousN;
    float _previousD;
    float _previousSize;
    LineRenderer _lr;

    void Start()
    {
        _points = new Vector3[PointsCount];

        _lr = GetComponent<LineRenderer>();
        _lr.positionCount = PointsCount;        
    }

    void Update()
    {
        if (_previousPosition != transform.position
         || _previousD != D
         || _previousN != N
         || _previousSize != Scale)
        {
            Draw();

            _previousPosition = transform.position;
            _previousD = D;
            _previousN = N;
            _previousSize = Scale;
        }
    }

    void Draw()
    {        
        for (int i = 0; i < PointsCount; i++)
        {
            _k = i * (D * Mathf.PI / 180f);
            _r = Scale * Mathf.Sin(N * _k);
            _x = _r * Mathf.Cos(_k);
            _y = _r * Mathf.Sin(_k);
            _points[i] = transform.position + new Vector3(_x, _y, 0);
        }

        _lr.SetPositions(_points);
    }
}