Zonohedra, which are polyhedra bounded by centrally-symmetrical polygons, can be thought of as shadows of hypercubes. And, just as we can construct an n-cube by "tracing it out" along a set of n mutually perpendicular vectors of equal magnitude, so also we can "trace out" a zonohedron by a series of translations. Several animations depict this tracing-out process.
I found myself with my jaw dropped.
GothlyDana 3 years ago
Thanks!
rufus16180339887 3 years ago
This is one of my favorites.
dwyllie 3 years ago
muito obrigada Daniel! I need to return to the original code and streamline it ... it is quite a hack, as they say.
I was just downloading lyrics and chords for Aquarela do Brasil ... such a pretty song!
rufus16180339887 3 years ago
This is amazing!!! What program was used to construct these... shadows?
kornkid4032 4 years ago
Hey thanks. I used Mathematica to make the animation, in this case. A series of translations "trace out" a zonohedron. It would be interesting to do this in POV-Ray.--R
rufus16180339887 4 years ago