It's an awesome 3D-fractal-generated-music-visualizer-space-shooter-game! I love music visualizers. I find watching attractive color displays animating in synch with my music to be very enjoyable. I also love fractal artwork; the beauty of complex math is amazing to witness. Put these things together with a bit of 3D space shoot-em-up and you have The Polynomial.
The actual gameplay is optional; I often prefer to turn off the black packman bad guys and just fly around the beautiful scenery. It's also a fractal editor; you can tweak parameters and generate and save your own unique 3D ITS fractal plots -- and fly through them as they animate to your music.
The free demo is fully functional with no nags, but only has a few predesigned arenas and it doesn't support MP3. You can still generate your own fractals, but you can't save them.
For only $8 you can have it animate fractal visuals with tunes of your choice, and it comes with some very nice saved fractals, or arenas, to play in.
You can buy it through the third party deployment platform "Steam," but I prefer to go directly to the developer's website: http://dmytry.com/games/
Available for Mac, Windows, and various other OS.