In the Renaissance, 'polyhedral' dials like this one were less useful as things to be used everyday and more like things that had all the up-to-date technology and theories built into them. They were made so that mathematicians and instrument makers could show off their skills and demonstrate that they had mastered all the new mathematical theories and techniques in something that actually worked.
Like all sundials, this one works by casting the shadow of a spike called a 'gnomon' onto a series of lines that have been calibrated to show the time. In a polyhedral dial the challenge was to build as many different individual sundials onto as many different faces as possible. This sundial has nine different faces, which is good going. If it is made correctly then all the dials on all the different faces should show exactly the same time no matter what direction the sundial is pointing in.
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