Matematical coloring book

Rendering of environment by a computer is something that we encounter more and more often, especially in computer games and movies. Assigning colors to regions is an important part of this process (we actually teach it at our faculty) and it is based on mathematics (naturally). One of the basic tools is matematical coloring functions. The idea is simple: If we want to know how to color some point, then we just substitute its coordinates to the coloring function and the resulting value decides on the right color.

You can try it out in our mathematical coloring book. All coloring pictures come in two versions. The basic version includes a key hint. It should be accessible by high-school students, and in fact it is a pleasant practice of working with Carthesian and polar coordinates. You can solve it on paper, but we also offer an interactive online interface.

The more adventurous users can try the full version, which requires some work with functions and equations and basic working knowledge of analytic geometry. A university freshman should be able to handle it, but it could be also an interesting challenge for ambitious high-school students. These hardcore versions were sorted by difficulty. These full versions differ in difficulty that we marked in the links, and they have to be solved on paper (you can print them). Warning: If you are thinking of trying some picture in full version, then definitely do not look at the basic version as the hint there would spoil all the fun.

Everything is explained in these instructions.

Pictures based on Carthesian coordinates.

Warm colors

basic
full (easy)
Contrast

basic
full (easy)
Man overboard

basic
full (easy)
Landscape

basic
full (easy)
House

basic
full (easy)
Spectrum

basic
full (intermediate)
Diagonals

basic
full (intermediate)
All about red

basic
full (intermediate)
Tablecloth

basic
full (intermediate)
Chess

basic
full (intermediate)
Private

basic
full (intermediate)
Rays

basic
full (intermediate)
Sea

basic
full (intermediate)
Tunnel

basic
full (tougher)
Colors

basic
full (tougher)
Spring

basic
full (tougher)
Blues

basic
full (tougher)
Cross

basic
full (tougher)
In the sea

basic
full (tougher)

Pictures based on polar coordinates.

Rainbow

basic
full (easy)
Pie

basic
full (easy)
Flag

basic
full (easy)
Yin/Yang

basic
full (intermediate)
Pac-Man

basic
full (intermediate)
Bud

basic
full (intermediate)
Baby carriage

basic
full (intermediate)
Bullseye

basic
full (tougher)
Dawn

basic
full (tougher)