They can't be dimmed? They can have their input voltage changed or be pulsed. Try taking a common LED and putting it on a 3V source (dimmer), a 5V source (brighter) and a 12V source (explosion hazard) sometime.
For those new to electronics I do advise the 12V experiment, just be certain that you have an effective blast shield around it, are wearing glasses, you know standard experimental controls.
Now take a fancy controller and see how they love pulse width controls.
I'm not saying these are good ideas or that they are consistent with a long lifespan, but they are all effective dimming methods.