Difference between revisions of "ADF symmetry options"

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*Faces and corners are referred to using compass directions, with north oriented in the direction of positive y-axis.
 
*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 6 were added in version 2.1.32.
  
 
{|class="wikitable" style="text-align: left;"
 
{|class="wikitable" style="text-align: left;"
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! Equivalent surfaces
 
! Equivalent surfaces
 
! Equivalent corners
 
! Equivalent corners
 +
! Equivalent sign moments
 +
! Zero sign moments
 +
! Symmetry axis
 
|-   
 
|-   
 
| <tt>0, NO, NONE</tt>
 
| <tt>0, NO, NONE</tt>
 +
| -
 +
| -
 +
| -
 
| -
 
| -
 
| -
 
| -
 
|-   
 
|-   
−
| <tt>1, ALL</tt>
+
| <tt>1, FULL</tt>
 
| W-S-E-N
 
| W-S-E-N
−
| 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
 
|-  
 
|-  
 
| <tt>3, NESW, SWNE</tt>
 
| <tt>3, NESW, SWNE</tt>
 
| N-E, S-W  
 
| N-E, S-W  
 
| SE-NW
 
| SE-NW
 +
| N-E, S-W
 +
| -
 +
| from corner NE to corner SW
 
|-  
 
|-  
 
| <tt>4, EW, WE</tt>
 
| <tt>4, EW, WE</tt>
 
| E-W  
 
| E-W  
 
| SW-SE, NW-NE
 
| SW-SE, NW-NE
 +
| E-W
 +
| N, S
 +
| from side N to side S
 
|-  
 
|-  
−
| <tt>5, NWSE, SWNE</tt>
+
| <tt>5, NWSE, SENW</tt>
 
| N-W, S-E  
 
| N-W, S-E  
 
| NE-SW
 
| NE-SW
 +
| N-W, S-E
 +
| -
 +
| from corner NW to SE
 
|-  
 
|-  
 +
| <tt>6, NSEW, EWNS</tt>
 +
| N-S, E-W
 +
| NW-NE-SE-SW
 +
| N-S, E-W
 +
| -
 +
| -
 
|}
 
|}
  
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<u>Notes:</u>
 
<u>Notes:</u>
  
−
*The face and corner directions are shown in [[Output_parameters#Assembly_discontinuity_factors|Assembly discontinuity factors]].
+
*The face and corner directions are listed in [[Output_parameters#Assembly_discontinuity_factors|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.
 +
*Options 2-7 can be understood as mirror symmetries.
 +
*Sign moments are only scored for [[Surface_types#Regular_prisms|X-type infinite/truncated hexagonal prisms]] (not Y-type).
  
 
{|class="wikitable" style="text-align: left;"
 
{|class="wikitable" style="text-align: left;"
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! Equivalent surfaces
 
! Equivalent surfaces
 
! Equivalent corners
 
! Equivalent corners
 +
! Equivalent sign moments
 +
! Zero sign moments
 
! Symmetry axis
 
! Symmetry axis
 +
! Note
 
|-   
 
|-   
 
| <tt>0, NO, NONE</tt>
 
| <tt>0, NO, NONE</tt>
Line 52: Line 89:
 
| -
 
| -
 
| -
 
| -
 +
| -
 +
| -
 +
|
 
|-   
 
|-   
−
| <tt>1, ALL</tt>
+
| <tt>1, FULL, 30</tt>
 
| 1-2-3-4-5-6
 
| 1-2-3-4-5-6
−
| 1-2-3-4-5-6  
+
| 1-2-3-4-5-6
−
| none
+
| -
 +
| 1, 2, 3, 4, 5, 6
 +
| -
 +
| useful for 30 degree reflective symmetric hexagonal lattices
 
|-
 
|-
 
| <tt>2</tt>
 
| <tt>2</tt>
 
| 2-6, 3-5
 
| 2-6, 3-5
−
| 1-6, 2-5, 3-4
+
| 1-4, 2-3, 5-6
 +
| 2-6, 3-5
 +
| 1, 4
 
| from side 1 to side 4
 
| from side 1 to side 4
 +
|
 
|-
 
|-
 
| <tt>3</tt>
 
| <tt>3</tt>
 
| 1-2, 3-6, 4-5
 
| 1-2, 3-6, 4-5
−
| 2-6, 3-5
+
| 1-3, 4-6
 +
| 1-2, 3-6, 4-5
 +
| -
 
| from corner 2 to corner 5
 
| from corner 2 to corner 5
 +
|
 
|-
 
|-
 
| <tt>4</tt>
 
| <tt>4</tt>
 
| 1-3, 4-6
 
| 1-3, 4-6
 
| 1-2, 3-6, 4-5
 
| 1-2, 3-6, 4-5
 +
| 1-3, 4-6
 +
| 2, 5
 
| from side 2 to side 5
 
| from side 2 to side 5
 +
|
 
|-
 
|-
 
| <tt>5</tt>
 
| <tt>5</tt>
 
| 1-4, 2-3, 5-6
 
| 1-4, 2-3, 5-6
−
| 1-3, 4-6
+
| 2-6, 3-5
 +
| 1-4, 2-3, 5-6
 +
| -
 
| from corner 1 to corner 4
 
| from corner 1 to corner 4
 +
|
 
|-
 
|-
 
| <tt>6</tt>
 
| <tt>6</tt>
 
| 2-4, 1-5
 
| 2-4, 1-5
−
| 1-4, 2-3, 5-6
+
| 1-6, 2-5, 3-4
 +
| 2-4, 1-5
 +
| 3, 6
 
| from side 3 to side 6
 
| from side 3 to side 6
 +
|
 
|-
 
|-
 
| <tt>7</tt>
 
| <tt>7</tt>
 
| 1-6, 2-5, 3-4
 
| 1-6, 2-5, 3-4
−
| 2-4, 1-5
+
| 1-5, 2-4
 +
| 1-6, 2-5, 3-4
 +
| -
 
| from corner 3 to corner 6
 
| from corner 3 to corner 6
 +
|
 +
|-
 +
| <tt>8, 60</tt>
 +
| 1-2-3-4-5-6
 +
| 1-2-3-4-5-6
 +
| 1-2-3-4-5-6
 +
| -
 +
| -
 +
| useful for 60 degree periodic symmetric hexagonal lattices
 
|-
 
|-
 +
| <tt>9, 120</tt>
 +
| 1-3-5, 2-4-6
 +
| 1-3-5, 2-4-6
 +
| 1-3-5, 2-4-6
 +
| -
 +
| -
 +
| useful for 120 degree periodic symmetric hexagonal lattices
 
|}
 
|}
  
 
[[Category:Input]]
 
[[Category:Input]]

Latest revision as of 14:17, 13 June 2023

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 6 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, FULL 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, SENW N-W, S-E NE-SW N-W, S-E - from corner NW to SE
6, NSEW, EWNS N-S, E-W NW-NE-SE-SW N-S, E-W - -

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.
  • Options 2-7 can be understood as mirror symmetries.
  • Sign moments are only scored for X-type infinite/truncated hexagonal prisms (not Y-type).
Symmetry option Equivalent surfaces Equivalent corners Equivalent sign moments Zero sign moments Symmetry axis Note
0, NO, NONE - - - - -
1, FULL, 30 1-2-3-4-5-6 1-2-3-4-5-6 - 1, 2, 3, 4, 5, 6 - useful for 30 degree reflective symmetric hexagonal lattices
2 2-6, 3-5 1-4, 2-3, 5-6 2-6, 3-5 1, 4 from side 1 to side 4
3 1-2, 3-6, 4-5 1-3, 4-6 1-2, 3-6, 4-5 - from corner 2 to corner 5
4 1-3, 4-6 1-2, 3-6, 4-5 1-3, 4-6 2, 5 from side 2 to side 5
5 1-4, 2-3, 5-6 2-6, 3-5 1-4, 2-3, 5-6 - from corner 1 to corner 4
6 2-4, 1-5 1-6, 2-5, 3-4 2-4, 1-5 3, 6 from side 3 to side 6
7 1-6, 2-5, 3-4 1-5, 2-4 1-6, 2-5, 3-4 - from corner 3 to corner 6
8, 60 1-2-3-4-5-6 1-2-3-4-5-6 1-2-3-4-5-6 - - useful for 60 degree periodic symmetric hexagonal lattices
9, 120 1-3-5, 2-4-6 1-3-5, 2-4-6 1-3-5, 2-4-6 - - useful for 120 degree periodic symmetric hexagonal lattices
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