George Duke wrote on Thu, May 22, 2014 12:05 PM EDT:
Naturally there is a Perimeter Chess (fr. perimetre),
http://chessvariants.org/other.dir/modest-piece.html -- the old cliche name any word and a CV already exists. Another one: Dr. Friedlander has applet Crush Chess, in which every ten moves the perimeter disappears, so you better mate before Move 20 or the only pieces left are within the 4x4.
http://www.chessvariants.org/index/msdisplay.php?itemid=MScentralrotatio. Do any 3d CVs rotate portion of board?
Also there is 6-colour Chess: http://www.chessvariants.org/index/msdisplay.php?itemid=MPchessontherain. It is interesting to preserve standard Rubik's 6 colours, instead of Frolov's main idea, as each representing one of rnbkqp; it requires rule discarding excess pieces per side.
This puzzle was for sale: http://www.chessvariants.org/solitaire.dir/checkmate.html.
Betza's 2003 Pied Color seems Rubik-like somehow: http://www.chessvariants.org/boardrules.dir/piedchess.html.