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> But where is it vertically in the cake? Right in the center of that frosting layer, or off by a bit up or down?

Did the author answer these questions? How far above the center of the cake is 55 light years?

He mentions that the height is 2,000 light years, so the deviation from the center is 55 ÷ 1000 = 5.5% (+- 0.16%)

I had no clue that the Sun's orbit looked like that. Bobbing up and down relative to the galactic plane. More or less in a sine wave.