Module 24: Lorentz Transformation: Examples - Problem 4

A stationary light clock is located at $x=0$ in some frame. It ticks when the light hits the bottom of the clock at times $t=0,1,2,\ldots,n,\ldots$ and so on for all $n>0$.

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What are the coordinates of these ticking events in a frame moving with velocity $(4/5)\,c$ in the $+x$ direction?