How to Eat Chocolate Indefinitely (gif version)
A very tasty application of the geometrical illusion discussed here [CJH].
German mathematician David Hilbert discovered the curve that bears his name in the early 1900’s. It is an example of a “space-filling” curve: it literally covers every point in a square. Like fractals, it is generated in iterations. Hilbert with Ladders(below) is output generated from a modified Hilbert algorithm that also draws other shapes and ladders at points along the Hilbert Curve.
The Hilbert space filling curve is a one dimensional curve which visits every point within a two dimensional space. It may be thought of as the limit of a sequence of curves which are traced through the space.
The basic pattern is a curve which starts near the bottom left corner of a box and terminates near the bottom right corner. It has a kink in it, the kink takes it into the top left and top right of the box.
Don Relyea, based on Professor Cumming of Napier University, Edinburgh, UK works and with a small amount of effort adding several of his drawing routines, was able to generate fantastic results.
If you like to try yourself, it is possible to it here:
Love that book…
Ah you’ll have to view the fullsize for this one! After finishing The Way of Kings by Brandon Sanderson I kind of got an itch to design the characters, so I’ve been working on these on and off for the past few weeks. Shallan is my absolute favorite, and I’m pretty happy with her design! And there was no way Adolin wasn’t going to look like he just walked out of an anime.