title: How to cover a rectangle area with irregular shapes and no holes
body: <p>I have detailed, highly irregular shapes like these:</p>
  <p><a href="https://i.stack.imgur.com/LEIDd.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/LEIDd.png" alt="enter image description here" /></a></p>
  <p>and I'm looking for a way to make them cover a rectangle area with no holes and minimal blend/cover between shapes. Limited up-scaling and free rotation is also allowed.</p>
  <p>I searched through packaging and covering algorithms but there is not a lot of information about irregular shapes and every one I looked at assumes shapes cannot blend. In my case this is acceptable.</p>
  <p>Given above shapes one solution would look something like this:</p>
  <p><a href="https://i.stack.imgur.com/RsM7B.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/RsM7B.png" alt="enter image description here" /></a></p>
  <p>To achieve above result shapes have been transalted, rotated and scaled.</p>
  <p>Given:</p>
  <ul>
  <li>All shapes can be scaled up and down (max 2x) and rotated</li>
  <li>Shapes can overlap</li>
  <li>Part of shape can be outside of rectangle</li>
  <li>Shapes don't have holes in them</li>
  </ul>
  <p>Do you know an algo that could solve this?</p>