This part collects some abstract images (except one featuring a human figure) depicting visualizations of mathematical objects from various fields. And some spheres. Or vaguely sphere-shaped things.
This is a zoom into the “Seahorse Valley” of the map of the Mandelbrot set. Actually, it is a zoom into the Seahorse Valley of a smaller copy of the Mandelbrot set within the Seahorse Valley of the initial Mandelbrot set, so it looks kind of like seahorsey times two: every seahorse filament has seahorse filaments attached to it.
A map of alternating values for an iterated system of Lyapunov exponents, using a sine function.
Some rhombic dodecahedra. Rhombic dodecahedra are space filling polyhedra, and I use them to approximate other uniform polyhedra, here showing two different transitions from a hexahedron to an octahedron.
This is one of the more obvious cheats to turn an image into landscape format: the girl holding a copy of herself she is about to give a lecture is made with acrylic colors; the rest are some knots to avoid having lots of blank space.
Since I made tons of illustrations about polyhedra and polytopes in general, I collected some of them in this crowded image.
As announced above, some balls.
Three spheres to torture Euler. The surfaces of these spheres use a Greek-Latin square of sidelength ten, an object Euler thought was impossible.
The next part will feature some references to Sci-Fi shows. Exterminate! I mean, please follow the link.
« Part 1 · Classic Images | Part 3 · Nerdy Stuff »
2010-09-29 · Jan Thor · www.janthor.com · jan@janthor.de






