Sasuke's Tomoe was through vengeance - pure hatred. In his fight at the Final Valley, with Naruto, he awakened his Sharingan from 2-Tomoe, to 3-Tomoe. This was formed for his determination to become stronger so that he can avenge his clan, a form of hatred.
All three tomoe levels of the Sharingan have the same exact abilities: It has enhanced perception and clarity of vision, allowing them to see through, memorize, and predict fast movements, among other things.
It is not unheard of for a Sharingan user to have different numbers of tomoe in each eye. He evolved it to three in each eye during his battle with Naruto at the Valley of the End. A fully-matured Sharingan has three tomoe in each eye.
When first awakened, each Sharingan usually will have only one tomoe (巴), although in some case, they immediately gained two tomoe in each of their eyes. Through emotional growth of extreme conditions, the Sharingan will continue to develop, its full maturation represented by a third tomoe.
He awakened his sharingan after the Uchiha Massacre. He awakened double tomoe while fighting Haku. Sasuke awakens the Two Tomoe Sharingan when fighting Orochimaru in the Forest of Death, (2nd Chunin Exam round).
The Rinnegan Sasuke has is quite unique, it has 6 tomoe split between its first two ripples, this doesn't mean nothing, it indicates the Rinnegan is fully charged.
She has it post Chidori training and she first uses it during the Boro fight. We specfically see the 3 tomoe when she uses the Chidori.
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