How to draw paths that follow all angles of a shape? Example given
I have a shape which is quite complex. From this shape I want to draw lines at all angles of the shape so I end up with a grid that can be filled in. This is a perfect example:

So you can see the shape of a leaf in the middle. Then on the left page, lines (unclosed paths) have been drawn that intersect all angles of the shape. I have tried to this manually using a pen tool but it doesn't accurately follow the exact angles of the shape - it's always slightly off. Is there an automated tool for this or can anyone suggest how its done please?
