Ever since iOS 7 was released on September 18 for compatible devices, users of the Apple OS didn’t really have too many options at a complete jailbreaking solution. However, thanks to the team behind evasi0n, you can now experiment with evasi0n7, the iOS 7.x untethered Jailbreak.
You have to have a Windows (XP minimum), Mac OS X (10.6 minimum) or Linux (x86 / x86_64) machine to be able to apply this to your iPhone, iPad or iPod running iOS 7.0 through 7.0.4. However, as the official page warns, “many Cydia tweaks are not yet compatible with iOS 7” so you’ll have to acknowledge the usual risks involved, as well as have that in mind.
Furthermore, @saurik warns that he hasn’t “been able to test much at all” himself. Consider yourselves warned!