25,161
edits
Changes
no edit summary
'''[[Main Page|Home]] * [[Board Representation]] * [[Bitboards]] * Flipping, Mirroring and Rotating'''
[[FILE:Forever_IV.jpg|border|right|thumb|link=http://www.barbaramittman.com/Site/Fore_4.html|[[Arts#:Category:Barbara Mittman|Barbara Mittman]], Forever IV <ref>[http://www.barbaramittman.com/Site/Figurative_Paintings.html Figurative Paintings] by [[Arts#:Category:Barbara Mittman|Barbara Mittman]]</ref> ]]
'''Flipping, Mirroring and Rotating'''<br/>
<span id="PseudoRotationby45degrees"></span>
==Pseudo-Rotation by 45 degrees==
The chess-board is four-fold symmetry - thus there is no real 45 degree rotation in the mathematical sense. Anyway we may map [[Diagonals|diagonals]] and [[Anti-Diagonals|anti-diagonals]] to [[ranks]], similar to [[Rotated Bitboards|rotated bitboards]].
===Clockwise===
===Anti-Clockwise===
We enumerate the 15 [[Anti-Diagonals|anti-diagonals]] by 7 ^ (file + rank), a [[Nibble|nibble]] wise [[General Setwise Operations#TheTwosComplement|two's complement]] F == -1.
<pre>
0 F E D C B A 9 1 1 1 1 1 1 1 9
* [https://en.wikipedia.org/wiki/Reflection_symmetry Reflection symmetry from Wikipedia]
==Smoke 'n' Mirrors==
* [[Videos#LeeRitenour:Category:Lee Ritenour|Lee Ritenour]], [[Videos#MikeStern:Category:Mike Stern|Mike Stern]], [[Videos#SimonPhillips:Category:Simon Phillips|Simon Phillips]], [https://en.wikipedia.org/wiki/John_Beasley_%28musician%29 John Beasley], [http://www.allmusic.com/artist/melvin-davis-mn0000350965 Melvin Davis] - Smoke 'n' Mirrors <ref>[https://en.wikipedia.org/wiki/Smoke_and_mirrors_%28disambiguation%29 Smoke and mirrors (disambiguation)]</ref>, [https://en.wikipedia.org/wiki/Blue_Note_Tokyo Blue Note Tokyo], 2011, [https://en.wikipedia.org/wiki/YouTube YouTube] Video <ref>[https://www.youtube.com/watch?v=vsmlkrBiok0 Shorter front view version with interviews]</ref>
: {{#evu:https://www.youtube.com/watch?v=SFGkvF_rK-A|alignment=left|valignment=top}}
'''[[Bitboards|Up one Level]]'''
[[Category:Barbara Mittman]]
[[Category:Simon Phillips]]
[[Category:Lee Ritenour]]
[[Category:Mike Stern]]
