Rule of Thirds
Source:http://www.2d-digital-art-guide.com/rule-of-thirds-in-photography.html

Radial
Source: http://www.culture-reflection.net/forum/showthread.php?t=1889


Symetrical

Source: http://photoinf.com/Golden_Mean/Michael_Fodor/Photo_School_-_Rule_of_Thirds/006_13.jpg

Asymetrical

Source:
https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihj6X4-v91rhjrFPymLUSQNKdAZ64U_3b0aVctgTwx7nJePVGORjQlbRDi8dw-IWJ0Hxd8meF_aztIKObNekyQ5TeLLVkPKKdJ4_jT9bMGp49-70ExiMciEWgV-rAebhaIbbmleFxraGTe/s1600/rule+of+thirds+.jpg

Examples