Porous Polyhedra as Molecular Models

Home » Comments on My Polyhedra – Molecular Models (by other people) (3)

Comments on My Polyhedra – Molecular Models (by other people) (3)

I do not agree with everything they say, but this is what has been said so far…

 

“These are really beautiful, they certainly deserve a wider audience. I will post a link on my facebook page for sure. But they are not normally regarded as polyhedra, because the surfaces are bounded. If they are regarded as toroidal nolids, even then they are not usually understood as polyhedra: for example two (coincident) edges may share the same two vertices, which is not allowed in conventional polyhedron theory, but only if one chooses to extend the theory specially. As a footnote, a “crown polyhedron”, sometimes called a stephanoid, is a particular kind of axially-symmetric (pyramid/prism symmetries) polyhedron. In the end, your creations are at heart beautiful symmetrical mathematical sculptures, and best appreciated as such. Not perhaps what you wanted to hear, but I hope it helps clarify things for you. — Cheers, Steelpillow (Talk) 16:47, 29 November 2014 (UTC)”

“Albert Carpenter has strange definitions of “polyhedron” (he seems to mean non-manifold complexes of regular polygons embedded into 3d space, with the symmetries of one of the Platonic [and or Archimedean] solids, but not enclosing any volume) and of “genus” (apparently the number of boundary cycles). But it has led him to make a lot of nice geometric models.”  Prof. David Eppstein-U. C. Irvine
Really impressed with the paper models – they must have taken ages to construct. Amazing. -Dave Smith
Albert,

you have created some amazing websites with an awesome wealth of different geometries! -Carlo Sequin

If you’d like to leave a comment, I’d be happy to hear them….

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