Difference between revisions of "Horizontal Mirroring"
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* [https://en.wikipedia.org/wiki/Reflection_%28physics%29 Reflection (physics) from Wikipedia] | * [https://en.wikipedia.org/wiki/Reflection_%28physics%29 Reflection (physics) from Wikipedia] | ||
* [https://en.wikipedia.org/wiki/Reflection_symmetry Reflection symmetry from Wikipedia] | * [https://en.wikipedia.org/wiki/Reflection_symmetry Reflection symmetry from Wikipedia] | ||
| + | * [http://math.ucr.edu/home/baez/physics/General/mirrors.html Why do Mirrors Reverse Left and Right?] | ||
* [https://en.wikipedia.org/wiki/Venus_effect Venus effect from Wikipedia] | * [https://en.wikipedia.org/wiki/Venus_effect Venus effect from Wikipedia] | ||
| − | * [ | + | * [[:Category:Shocking Blue|Shocking Blue]] - [https://en.wikipedia.org/wiki/Venus_(Shocking_Blue_song) Venus] (1970), [https://en.wikipedia.org/wiki/YouTube YouTube] Video |
| + | : {{#evu:https://www.youtube.com/watch?v=aPEhQugz-Ew|alignment=left|valignment=top}} | ||
=References= | =References= | ||
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'''[[Chess Position|Up one Level]]''' | '''[[Chess Position|Up one Level]]''' | ||
| + | [[Category:Shocking Blue]] | ||
Latest revision as of 00:17, 19 December 2018
Home * Chess * Position * Horizontal Mirroring
Horizontal Mirroring mirrors all pieces along the vertical axis between the D- and E-File. Applicable if both sides have lost their castling rights, horizontal mirroring should result in equal static evaluation score, but not necessarily equal search result if pieces and squares are traversed in different order. Along with vertical flipping and/or diagonal mirroring, horizontal mirroring is used in pawn-less endgame tablebases to restrict a white king to the 10 squares of the a1-d4-d1 triangle of the board.
Contents
Sample Position
Horizontal Mirroring
| Original | Horizontal Mirroring | ||
|---|---|---|---|
|
| ||
| k7/8/NK2B3/8/8/8/8/8 w - - | 7k/8/3B2KN/8/8/8/8/8 w - - |
Flipping & Rotation
Vertical flipping and horizontal mirroring (or vice versa) results in rotation by 180 degrees.
| Vertical Flipping | 180° Rotation | ||
|---|---|---|---|
|
| ||
| 8/8/8/8/8/NK2B3/8/k7 w - - | 8/8/8/8/8/3B2KN/8/7k w - - |
Mirroring an 8x8 Board
An 8x8 Board with a rank-file mapping needs to perform an exclusive or with 7 (h1 in LERF) to horizontally mirror square coordinates. A pure 8x8 Board may be mirrored that way in C:
int board[64], sq, s;
for (sq = 0; sq < 64; sq += ++sq & 4) {
s = board[sq];
board[sq] = board[sq^7];
board[sq^7] = s;
}
See also
External Links
- Mirror from Wikipedia
- Mirroring (psychology) from Wikipedia
- Reflection (mathematics) from Wikipedia
- Reflection (physics) from Wikipedia
- Reflection symmetry from Wikipedia
- Why do Mirrors Reverse Left and Right?
- Venus effect from Wikipedia
- Shocking Blue - Venus (1970), YouTube Video
