Saturday, March 19, 2022

[usvzlkbj] polyhedron with face plane formulae

create a physical model of a polyhedron with the plane equation for each face printed on each face.  this should be easy.

manually applying stickers is the straightforward method.  can it be automated?  a high resolution mill or 3D printer could engrave the information.

give formulae as QR codes to facilitate easy import into a computer algebra program.  also identify each face and include adjacency information.  list adjacent faces normally in (say) clockwise order, but counterclockwise if listing faces adjacent to an internal hole of a face.  is this enough to construct the polyhedron?

reading what's printed on the inner surface of a torus-like internal hole will be awkward; in general, reading convex faces.

previously, polyhedron facts as cards.

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