We have covered plenty of photo filters on this site already. They let you enhance your photos without having to rely on more sophisticated software solutions such as Photoshop. These 4 apps come handy if you want to create mirrored images on your mobile device:
Instabooth: comes with 20 quality effects you can use to enhance your photos with. The app is social media friendly and compatible with the latest iOS release.
Kaleido: this app is a highly optimized digital kaleidoscope for your iPhone. You get an infinite number of patterns with 8- and 4-way symmetry.
Mirrorgram: lets you create beautiful mirrored images on your phone. You can choose photos from your library or edit existing images. When it works, the app is fun to play around with.
Symmetry: lets you use your favorite photos to come up with symmetrical photos. The axis can be switched. It is compatible with the iPad as well.
There are many other applications that offer proper filters for symmetrical photography. The above apps are affordable and get the job done.