Mathematical rabbit hole

This post is a continuation of the post Math behind the tiny planets from The little prince

The rabbit-hole went straight on like a tunnel for some way, and then dipped suddenly down, so suddenly that Alice had not a moment to think about stopping herself before she found herself falling down what seemed to be a very deep well. [Alice’s Adventures in Wonderland]

Rabbit hole effect

Instead of creating the effect of tiny planets you can also create a Rabbit hole effect, which is named after the book Alice’s Adventures in Wonderland (by the way the writer of the book was a mathematician).

If you had read my previous post Math behind tiny planets from The little prince and if you had tried one of the applications suggested there, then you may have already come across the Rabbit hole effect. Some applications which turn your photos into tiny planets can also turn them into rabbit holes. If your application doesn’t have the Rabbit hole effect I will show you a trick how to use the Tiny planets effect to turn your photos into rabbit holes.

Everything is the same as in the previous post except for the panorama. You have to turn it upside down first. Let’s say your panorama now looks like this.

Again you have to pretend that this is all you can see around yourself. Your “Earth” (remember, you are standing at it’s center and on the surface of the “Earth” you see everything that is around you) now looks like this.

Now we use the stereographic projection (if you don’t know what that is, check my previous post) to draw a map of this “Earth”. Voilà!

We crop …

And this is it! 🙂 So, if your application for creating tiny planets doesn’t have a button for Rabbit hole effect just turn your photo upside down first and then use Tiny planets effect to make a rabbit hole. 🙂

You can share your masterpieces with me on my Facebook page. Enjoy!