[HN Gopher] The Polyhedral Perspective
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The Polyhedral Perspective
Author : Hooke
Score : 20 points
Date : 2022-10-14 05:31 UTC (1 days ago)
(HTM) web link (publicdomainreview.org)
(TXT) w3m dump (publicdomainreview.org)
| photochemsyn wrote:
| Nice article. The expansion of Euclidean geometry into hyperbolic
| and elliptical space did change all this fundamentally, most
| popularly seen in MC Escher's work. Here for example is a
| hyperbolic dodecahedron (in which each pentagon has five right
| angles).
|
| http://www.bulatov.org/math/1101/webtalk.html#(38)
|
| That site also has a lot of other nice examples and analysis of
| MC Escher drawings.
| COGlory wrote:
| What is mindlbowing to me is that all this work on geometry was
| initially done when there was absolutely no concept of atomic
| particles, and very little real representation in "visible"
| nature.
|
| Then hundreds of years later we started to look at macromolecules
| and found their assembly states often are perfect, or near-
| perfect representations of platonic solids, such as icosahedral
| viruses, octohedral and tetrahedral iron storage proteins, etc.
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