The second appearance was a glowing spiral on the roof of the Video 2*C near the beginning of The Tell. As Derek and Scott leave the roof, the spiral becomes visible, glowing red.
The fourth appearance, also during Heart Monitor, comes when Derek confronts Scott's boss about a spiral symbol found on a dead deer.
In Season 3, the spiral made another appearance in Visionary. Ennis once clawed a spiral into a metal wall of an abandoned Beacon Hills distillery. It also appeard in The Girl Who Knew Too Much, when Cora scratched it into the glass window before she attacked Aiden for helping kill Boyd.
Triple Spiral Edit
Derek has a triple spiral or triskelion on his back. It is three spirals connected together.
The triskelion is an ancient symbol with wide and varied meanings and usage around the planet.
It seems similar to The Spiral used to signify vendetta/revenge by werewolf packs.
Boyd points out in Season 2 that the symbol means different things to different people. It might mean past, present and future or mother, father, child. Derek says, for him, the symbol stands for the three types of werewolves - Alpha, Beta and Omega. He says it reminds him that while we can rise we can also fall, a Beta becoming an Alpha or an Alpha falling back down to Omega status.
Talia Hale used a cheap metal disk imprinted with a triskelion to help each of her children learn to control their shifts during the full moon.
In the real world, the triskele is widely considered a Celtic symbol, though it is pre-Celtic in origin and can in fact be found in numerous ancient cultures. Derek's version - a continuous swirl - is most likely meant to represent the traditional Celtic triskele. The symbol has a variety of meanings: the stages of life and progress through life (action, moving forward, etc), reincarnation (connoted by the continuous, connected, spiral), the three realms (sky, earth, water), and, most appropriately, the phases of the moon (new, half, full).