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We get the first six planes of symmetry by joining the opposite edges and vertices. But what is the seventh plane of symmetry?

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    $\begingroup$ Benzene is flat... (hint) $\endgroup$ – Mithoron Feb 25 '17 at 14:24
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Have a look at this picture which shows some of the symmetry axes and planes. You should be able to see other similar ones. Taken from www.molecule-viewer.com.(You can also use this site to practice working out point groups.)

benzene pic

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  • $\begingroup$ Complementary to the answer by @porphyrin, you may train yourself on the manifold ressources about symmetry at Otterbein university. All you need is a device capable to handle javascript (which is not java) symmetry.otterbein.edu $\endgroup$ – Buttonwood Feb 25 '17 at 15:04

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