I wrote this paper for a graduate course in Combinatorics (yeah, can you believe graduate math classes make you write papers?!?), and I figured, where better for it to be read by no one than on my
A childhood friend of Azula, Ty Lee ran away from home to join the circus in order to establish her own identity distinct from a multitude of otherwise identical sisters. Her exceptional agil
Princess of the Fire Nation and sister to Prince Zuko, Azula is one of the most gifted Firebenders ever to emerge. She controls not only fire, which burns a hotter blue, but also lightning, t
Though blind and only twelve years old, Toph is nevertheless the greatest Earthbender ever to live, having mastered not only the manipulation of stone but also metal, long thought to be impervious
Suki is the leader of the warriors of Kyoshi Island, a proud military tradition of exclusively female soldiers. Though bending is not part of their formidable arsenal, they more tha
Zhao is an officer in the Fire Nation Military, rising in the ranks to become an Admiral for the siege of the Northern Water Tribe. A Master Firebender, his lack of discipline and control som
Katara is a waterbender of the Southern Water Tribe who was the first to befriend Aang after his emergence from the iceberg. Though not as naturally gifted at bending as Aang, her persistence
Zuko is a Fire Nation Prince whose brashness earned him the disgrace of exile. He is consumed by "regaining his honor," which he believes may only be done by capturing the Avatar. He is
Aang is the latest in a long succession of Avatars, powerful benders who exist to maintain balance among the Four Nations as well as between the Spirit and Natural Worlds. Due to an accident,
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