Why do candlestick plots seem to show a cyclical structure?

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One oddity I notice is that if a random or quasi-random data series such as price data is plotted, it is similar to a random walk, but if the same data series is plotted using candlesticks (open-close, high-low), there appears to be in many cases an undulating pattern.

I assume that this is caused by some kind of aliasing. Is there a mathematical explanation for it?