Plane of symmetry in alphabet N

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SUMMARY

The discussion centers on the concept of the plane of symmetry (POS) in the letter "N." A participant argues that the blue plane depicted should be considered a valid POS, as it bisects the letter into mirror-image halves. However, the consensus is that "N" lacks a true plane of symmetry due to its structural asymmetry. The mention of the \sigma_v operation indicates a focus on symmetry operations in molecular geometry, reinforcing the understanding that not all shapes possess a plane of symmetry.

PREREQUISITES
  • Understanding of symmetry operations, specifically \sigma_v operations.
  • Basic knowledge of geometric shapes and their properties.
  • Familiarity with the concept of mirror images in geometry.
  • Awareness of molecular symmetry in chemistry.
NEXT STEPS
  • Research the properties of symmetry in geometric shapes.
  • Explore the concept of molecular symmetry and its applications in chemistry.
  • Learn about different types of symmetry operations, including \sigma_v and \sigma_h.
  • Investigate examples of letters and shapes with and without planes of symmetry.
USEFUL FOR

Students of geometry, educators teaching symmetry concepts, and individuals interested in the applications of symmetry in both mathematics and chemistry.

Elena14
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My teacher says that "N" has no plane of symmetry(POS). But shouldn't the plane shown with blue be POS?
I understand that a plane of symmetry bisects a molecule into halves that are mirror images of each other. For this reason, this plane shown here should be the POS. Where am I wrong?https://www.physicsforums.com/attachments/98339
 
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Attachment doesn't show.
 
I'm not seeing it. The attachment isn't working, but I tried a few direct approaches, and I am assuming you are talking about \sigma_v operation:

fkMCbLj.png
 

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