<svg width="320" height="320" viewBox="-160 -160 320 320">
  <path id="rose" fill="none" stroke="#db2777" stroke-width="2"/>
</svg>
<script>
  const k = 5;
  let d = '';
  for (let deg = 0; deg <= 360; deg += 1) {
    const rad = (deg * Math.PI) / 180;
    const r = 100 * Math.cos(k * rad);
    const x = r * Math.cos(rad);
    const y = r * Math.sin(rad);
    d += (deg === 0 ? 'M' : 'L') + ` ${x} ${y}`;
  }
  document.getElementById('rose').setAttribute('d', d + ' Z');
</script>