Have you ever seen a Wilson cloud chamber — a science experiment that lets you visualize ionizing radiation? How hard would it be to build one? If you follow [stoppi’s] example, not hard at all (German, Google Translate link). A plastic bottle. some tape, a flashlight, some water, hot glue, and — the only exotic part — a bit of americium 241. You can see the design in the video below and the page also has some more sophisticated designs including one that uses a CPU cooler. Even if you don’t speak German, the video will be very helpful.
You need to temper your expectations if you build the simple version, but it appears to work. The plastic bottle is a must because you have to squeeze it to get a pressure change in the vessel.