Image reflected from cone interior with r=h

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    Cone Image Interior
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SUMMARY

The discussion focuses on the optical properties of a cone with a vertex subtending a right angle and its interior silvered. Participants explore how an observer positioned along the axis of symmetry would appear in the reflection. The conversation suggests starting with simpler scenarios, such as reflections involving two planes at 90º, to build an understanding of the more complex cone reflection. The initial concept stems from the use of a vanity mirror, indicating a practical application of the theoretical discussion.

PREREQUISITES
  • Understanding of geometric optics
  • Familiarity with reflection principles
  • Knowledge of conic sections
  • Basic experience with visual perception in geometry
NEXT STEPS
  • Research the properties of conic sections in optics
  • Explore the mathematics of reflection in curved surfaces
  • Study the behavior of light in reflective materials
  • Investigate the use of mirrors in practical applications, such as vanity mirrors
USEFUL FOR

Students of geometry, optical engineers, and anyone interested in the practical applications of reflective surfaces in design and technology.

Loren Booda
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Consider a cone's surface with its vertex subtending a right angle and its base removed. If its interior were silvered, how would an observer on the axis of symmetry appear in its reflection?
 
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Loren Booda said:
Consider a cone's surface with its vertex subtending a right angle and its base removed. If its interior were silvered, how would an observer on the axis of symmetry appear in its reflection?

Hi Loren Booda! :smile:

Hint: try it for two planes at 90º first.
 
tiny-tim said:
Hi Loren Booda! :smile:

Hint: try it for two planes at 90º first.

Hi back at ya!

Th vanity mirror is where I got the reflective cone idea in the first place, but - regarding images - am unable to extend the former situation to that of the latter.
 

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