Difference between revisions of "ADF symmetry options"

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(Square prism)
(Square prism)
Line 11: Line 11:
 
! Equivalent surfaces
 
! Equivalent surfaces
 
! Equivalent corners
 
! Equivalent corners
 +
! Equivalent sign moments
 +
! Zero sign moments
 
! Symmetry axis
 
! Symmetry axis
 
|-   
 
|-   
 
| <tt>0, NO, NONE</tt>
 
| <tt>0, NO, NONE</tt>
 +
| -
 +
| -
 
| -
 
| -
 
| -
 
| -
Line 22: Line 26:
 
| NW-NE-SE-SW
 
| NW-NE-SE-SW
 
| -
 
| -
 +
| -
 +
| N, W, S, E
 
|-  
 
|-  
 
| <tt>2, NS, SN</tt>
 
| <tt>2, NS, SN</tt>
 
| N-S  
 
| N-S  
 
| NW-SW, NE-SE
 
| NW-SW, NE-SE
 +
| N-S
 +
| W, E
 
| from side E to side W
 
| from side E to side W
 
|-  
 
|-  
Line 31: Line 39:
 
| N-E, S-W  
 
| N-E, S-W  
 
| SE-NW
 
| SE-NW
 +
| N-E, S-W
 +
| -
 
| from corner NE to corner SW
 
| from corner NE to corner SW
 
|-  
 
|-  
Line 36: Line 46:
 
| E-W  
 
| E-W  
 
| SW-SE, NW-NE
 
| SW-SE, NW-NE
 +
| E-W
 +
| N, S
 
| from side N to side S
 
| from side N to side S
 
|-  
 
|-  
Line 41: Line 53:
 
| N-W, S-E  
 
| N-W, S-E  
 
| NE-SW
 
| NE-SW
 +
| N-W, S-E
 +
| -
 
| from corner NW to SE
 
| from corner NW to SE
 
|-  
 
|-  

Revision as of 16:05, 16 September 2020

Square prism

Notes:

  • Faces and corners are referred to using compass directions, with north oriented in the direction of positive y-axis.
  • Options 2-5 can be understood as mirror symmetries.
  • Symmetry options of sign moments were added in version 2.1.32.
Symmetry option Equivalent surfaces Equivalent corners Equivalent sign moments Zero sign moments Symmetry axis
0, NO, NONE - - - - -
1, ALL W-S-E-N NW-NE-SE-SW - - N, W, S, E
2, NS, SN N-S NW-SW, NE-SE N-S W, E from side E to side W
3, NESW, SWNE N-E, S-W SE-NW N-E, S-W - from corner NE to corner SW
4, EW, WE E-W SW-SE, NW-NE E-W N, S from side N to side S
5, NWSE, SWNE N-W, S-E NE-SW N-W, S-E - from corner NW to SE

Hexagonal prisms

Notes:

  • The face and corner directions are listed in Assembly discontinuity factors.
  • The corner symmetries have been wrong prior to version 2.1.32. The list below corresponds to the correct values used since version 2.1.32.
  • Symmetry options 8 and 9 were added in version 2.1.32.
Symmetry option Equivalent surfaces Equivalent corners Symmetry axis Note
0, NO, NONE - - -
1, ALL, 30 1-2-3-4-5-6 1-2-3-4-5-6 - useful for 30 degree periodic symmetric hexagonal lattices
2 2-6, 3-5 1-4, 2-3, 5-6 from side 1 to side 4
3 1-2, 3-6, 4-5 1-3, 4-6 from corner 2 to corner 5
4 1-3, 4-6 1-2, 3-6, 4-5 from side 2 to side 5
5 1-4, 2-3, 5-6 2-6, 3-5 from corner 1 to corner 4
6 2-4, 1-5 1-6, 2-5, 3-4 from side 3 to side 6
7 1-6, 2-5, 3-4 1-5, 2-4 from corner 3 to corner 6
8, 60 1-2-3-4-5-6 1-3-5, 2-4-6 - useful for 60 degree periodic symmetric hexagonal lattices
9, 120 1-3-5, 2-4-6 1-3-5, 2-4-6 - useful for 120 degree periodic symmetric hexagonal lattices