Snoopy sitting on the moon is the full moon, it’s just mirrored above and below but is effectively the same as other moon phase discs. The discs are repeated twice because the moon has a 29.5 day cycle, and since you can’t have a half tooth on a wheel, moonphase discs have 59 teeth with a mirror image on them so each full rotation represents two cycles. Exposing both above and below just makes it more visually interesting but it’s the same in terms of accuracy
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