After 400 years, mathematicians find a new class of solid shapes

1. The original article: <a href="http://theconversation.com/after-400-years-mathematicians-find-a-new-class-of-solid-shapes-23217" rel="nofollow">http:&#x2F;&#x2F;theconversation.com&#x2F;after-400-years-mathematicians-fi...</a><p>2. It actually looks more like a redefinition than a new discovery: &quot;It may be confusing because Goldberg called them polyhedra, a perfectly sensible name to a graph theorist, but to a geometer, <i></i>polyhedra require planar faces<i></i> &quot;

It’s hard to know whether or not this is interesting, since the article is very vague and the paper is behind a paywall: <a href="http://www.pnas.org/content/early/2014/02/04/1310939111" rel="nofollow">http:&#x2F;&#x2F;www.pnas.org&#x2F;content&#x2F;early&#x2F;2014&#x2F;02&#x2F;04&#x2F;1310939111</a><p>The claim that Goldberg polyhedra are not really polyhedra is especially puzzling. Presumably the paper explains this better!

Perhaps this submission will get more love than when I submitted it 2 days ago:<p><a href="https://news.ycombinator.com/item?id=7244254" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=7244254</a>

From 2007, this is a better article on the same topic. Sorry it is a PDF, it wasn&#x27;t easy to find an online version.<p><a href="http://match.pmf.kg.ac.rs/electronic_versions/Match59/n3/match59n3_585-594.pdf" rel="nofollow">http:&#x2F;&#x2F;match.pmf.kg.ac.rs&#x2F;electronic_versions&#x2F;Match59&#x2F;n3&#x2F;mat...</a><p>&quot;Our results show that these Extended Goldberg polyhedra are a kind of novel geometrical objects of icosahedral symmetry and are considered to explain some viral capsids. &quot;<p>Which is the interesting application of the math.

Anyone else stumble on that &quot;nasablueshit&quot; typo?

What about Johnson solids? They were enumerated only about 50 years ago.