Has Red Dot gone on strike? Is it injured? What's going on?! Actually, Red Dot starts at x=y=z=0 and the equations of the Lorenz system are such that, starting there means staying there. This behaviour is called a "fixed point," - a remarkably apposite name. The entire line x=y=0, z=any real number, behaves strangely, in fact. For any value of z, with z not equal to zero, and x=y=0, the motion will be directly towards x=y=z=0 but it slows down as it approaches and in fact will never actually arrive in any finite time interval. Meanwhile, starting arbitrarily close to x=y=z=0 but with x or y not actually zero, it's off to the Lorenz attractor you go, as the rest of the Rainbow Dots demonstrate.

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