These are the first 100,000 complex points in a sequence where each point is a root of a quadratic equation. Start with x^2 + x + 1 = 0 and use its roots as the coefficients for the next polynomial.
@immistermanager i see a spider.
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@Erenbulbul I also see a spider now. It also looks a little like Andariel from Diablo 2.