While Morgestraich is the best way to see the Lanterns and their comic lampoonery lit up - the best way to appreciate some of the details you missed in the wee-hours of the morning is to visit Münsterplatz on the Tuesday - the second day of Fasnacht. All the lanterns are gathered together in one place for the whole day - so you can appreciate the lanterns both by daylight and night.
Naturally enough, it's one of the more popular set-piece events as you get to take your time to look at whichever lantern so takes your fancy. And ponder the ludicrosity of the news being depicted.
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Mark Sukhija is a travel and wine blogger, photographer, tourism researcher, hat-touting, white-shirt-wearing, New Zealand fantatic and eclipse chaser. Aside from at least annual visits to New Zealand, Mark has seen eclipses in South Australia (2002), Libya (2006), China (2009) and Queensland (2012). After twelve years in Switzerland, Mark moved back to London in 2012. You can follow Mark on Twitter or Facebook