Unearthed by AppleInsider, the patent filings don't point to any specific technology or indicate any particular plans on Apple's part.
Rather they simply hint at where Apple's design language might go in the future.
The patents dug up today were filed in October 2011 and describe the processes by which curved and irregularly-shaped batteries might be designed and created.
For the curved battery, a flexible pouch housing the battery's layers is exposed to pressure and heat in a process that could take up to four hours to set it into a curved shape.
The patent claimed that the purpose of the curved battery can be "to facilitate efficient use of space inside a portable electronic device," though by the literal looks of things, the device itself could have an added curvature.
The non-rectangular battery, on the other hand, can feature rounded corners and might fit more snugly inside a similarly shaped device (like an iPad).
These two latest Apple patents are hardly the first patents to hint at where Apple's mind is wondering.
That's pure speculation, of course, but it's interesting to consider how Apple might try to shake things up in a market increasingly filled with similar-looking devices.
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Michael Rougeau is a former freelance news writer for TechRadar. Studying at Goldsmiths, University of London, and Northeastern University, Michael has bylines at Kotaku, 1UP, G4, Complex Magazine, Digital Trends, GamesRadar, GameSpot, IFC, Animal New York, @Gamer, Inside the Magic, Comic Book Resources, Zap2It, TabTimes, GameZone, Cheat Code Central, Gameshark, Gameranx, The Industry, Debonair Mag, Kombo, and others.
Micheal also spent time as the Games Editor for Playboy.com, and was the managing editor at GameSpot before becoming an Animal Care Manager for Wags and Walks.