What is a 1-dimensional mirror?

  • Context: High School 
  • Thread starter Thread starter David Elkins
  • Start date Start date
  • Tags Tags
    Mirror
Click For Summary
SUMMARY

A 1-dimensional mirror is defined as a hyperplane within the surrounding Euclidean space, reflecting the space behind it while fixing all points on its surface. It contains only the fixed points of the reflection, while all points on the face side are projected perpendicularly onto the mirror's surface. The discussion emphasizes the importance of clearly defining terms such as "mirror" and "contain" to fully understand the concept.

PREREQUISITES
  • Understanding of Euclidean space
  • Familiarity with the concept of hyperplanes
  • Knowledge of geometric reflections
  • Basic grasp of dimensional analysis
NEXT STEPS
  • Research the properties of hyperplanes in geometry
  • Study the principles of geometric reflections
  • Explore the differences between 1-dimensional and 3-dimensional mirrors
  • Investigate the mathematical implications of fixed points in reflections
USEFUL FOR

Mathematicians, physicists, and students studying geometry or reflective properties in spatial analysis.

David Elkins
Messages
1
Reaction score
3
What is a 1-dimensional mirror? What is a 3-dimensional mirror? How much information does a mirror contain? DE
 
Science news on Phys.org
A mirror (unless otherwise defined) is a hyperplane of the surrounding Euclidean space and mirroring a reflection of this space into the space behind the mirror with all points on the mirror fixed.

A mirror itself only contains the fixed points. But all points on the face side of the mirror are perpendicularly projected on this surface if you stand right in front of it.

The difficulty with your question is, that you neither defined mirror nor contain.
 

Similar threads

Undergrad Understanding magnification of concave mirrors for near-eye situation?
  • · Replies 11 ·
Replies
11
Views
3K
High School Can a magnifying mirror or prism be used somehow as a low-tech reading aid for the visually impaired?
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Image construction with concave and convex mirrors
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Fabry-Perot Interferometer mirrors
  • · Replies 7 ·
Replies
7
Views
5K
Undergrad How Can I Create a Mirror Reflection Illusion?
  • · Replies 5 ·
Replies
5
Views
3K
High School What Color Do Mirrors on Earth Appear from Space?
  • · Replies 35 ·
2
Replies
35
Views
5K
High School Light beams and their reflection
  • · Replies 64 ·
3
Replies
64
Views
6K
Undergrad Optics question: Looking at mirrors from parallel to the surface
  • · Replies 6 ·
Replies
6
Views
2K
Graduate The coherence length is much longer than the manufacturer claims
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad How Can I Build an Effective DIY Helmet-Mounted HUD?
  • · Replies 19 ·
Replies
19
Views
6K