I have developed some basic ideas in the attached Notebook but I don't have time to work on a full demonstration. Perhaps someone, better at topology and graphics would like to take this further?
-- you have earned Featured Contributor Badge
Your exceptional post has been selected for our editorial column Staff Picks http://wolfr.am/StaffPicks and Your Profile is now distinguished by a Featured Contributor Badge and is displayed on the Featured Contributor Board. Thank you!
Moderator Note: this post was highlighted on the Wolfram's official social media channels. Thank you for your contribution. We are looking forward to your future posts.