Thankfully, reader Simon Flummox is familiar with the model, sent a link to a Danish retailer, and explained how it works:
"This CC Ide model has a fixed slice thickness. The plate rises on the central spindle as you turn the cutter. There is a release under the plate to slide it up/down when changing cheeses."
From the GIF above, I couldn't tell that it's the table that rises--I'd have guessed for sure that the handle rotated downwards with each crank. I'm sure the designers had their reasons, but it took a fair amount of engineering to make this work. Look at how many parts this thing has, as listed in the manual:
Not to mention a provision for tensioning the cutting wire:
Perhaps that's why this contraption is insanely expensive--4,725 Danish Kroner, which is USD $771!
For the more budget-minded who want a rotary cheese slicing experience, Flummox also sent a link to a single-block model where it is the cutting handle that rotates downwards. The Nuance Cheese Cutter, which comes with a lid and is meant to be loaded and stored in the 'fridge, rings in at a mere DKK 449.95 (USD $73).