What Do Colors and Shapes Represent in Stereographic Projections?

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SUMMARY

The discussion centers on the interpretation of shapes in stereographic projections, specifically triangles, squares, and ovals as seen on page 19 of a referenced PowerPoint presentation. These shapes represent symmetries of the lattice, with squares indicating 4-fold rotations and triangles indicating 3-fold rotations. The color differentiation, particularly the use of black symbols on the subsequent page, suggests additional significance related to the projection's axes. Understanding these representations is crucial for interpreting stereographic data accurately.

PREREQUISITES
  • Knowledge of stereographic projections
  • Understanding of lattice symmetries
  • Familiarity with crystallography terminology
  • Ability to interpret graphical data representations
NEXT STEPS
  • Research the significance of color coding in stereographic projections
  • Explore the mathematical principles behind lattice symmetries
  • Study the application of stereographic projections in crystallography
  • Learn about the implications of rotation symmetries in material science
USEFUL FOR

Researchers in crystallography, materials scientists, and students studying stereographic projections and lattice symmetries will benefit from this discussion.

scott_alexsk
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Hello,

Can anyone tell me what the triangles, squares, and ovals mean in the projection on page 19? Does this have something to do with the directions for the third axis? On the next page several of the symbols are black. What significance does this have, also?

Thanks
-scott

"[PLAIN 19"]http://neon.mems.cmu.edu/rollett/27750/L19A_Single_Xtal_Aniso1_3Apr06.ppt#317,19,Slide 19[/URL]
 
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They indicate symmetries of the lattice, ie a square is a 4-fold rotation, triangle a 3-fold rotation etc...
 

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