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Here is a light-hearted idea relating to planetary dynamics that you might want to add: Orrery Chess. A physical board would take quite some construction but it should be no more difficult to simulate on a computer than static-board variants. It has a circular board with 4n cells on the nth ring out from the centre, for n from 1 to 8. Between one player's move and the other's, everything moves round one cell anticlockwise, which is a right angle on the innermost ring but only 45° on the next out, 30° on the next, et cetera. If you are interested I can suggest a possible array and moves, which are necessarily quite a departure from square-board moves.
interesting board! Limited to 6 rings (I don't like 360/28 not being integer, althought 360/16 isn't either) it has 84 squares, thought this contest ended already.
Moussambani need not be worried about integer numbers of degrees, the degree if an arbitrary division of the circle anyway. Each move would still end up with four straight lines of boundaries leading from the edge to the centre.
In Chess and Physics(2001), Mathematician Joao Pedro Neto begins, ''Claude asked me to say a word and then try to invent a game with that word in mind. I said INERTIA.'' The rest is history, as far as Magnetic, Gravity, Entropy, Chaos, all 19,689 J.P.Neto says present themselves as Physics-themed. We knew we had seen before such name-first technique when re-describing it at own thread early 2008. Let's give credit where credit is due. ''By the HORSE method, CV enthusiasts can just think of a name and then design the CV. This naming-first has been done, we suspect, with such as Alice Chess, DragonChess...'' (two inventors no longer alive to defend themselves, so stopping our printemps list right there) Beside the foregoing comment, our ProblemThemesTwo 29.April.2008 adds nearby, ''Every word a game. Anyone making a CV can use the HORSE method. It is not so uncommon.'' Now so J.P. Neto for one explicitly uses it earlier. Not only that, the Method of Operation is really close to some other CVPage frequenters' applied philosophy: merely think themed CVs widely. The Simple idea just calls for starting with the target name, or theme, then working up some matching rules, or other, as more-or-less serious afterthought. Easy as that, try it yourself at home. In opposite fashion, other designers oftentimes may have their own given Rules-set finally perfected, only then and for the life of them totally unable to think up a good name -- or having to change it later. [Within, very good Magnetic Chess became keystone of this Neto -- who originated useful term 'Mutator' -- series for follow-up.]
All ideas are good! It will be intersting to play Shogi, using (Counter)Clockwise Rotation rules: in Shogi most of pieces moves differently in different directions.
I am not sure what entropy exactly is and how it works. But why not make one chess variant where, the each piece type lose some movement abilities after some turns? This would be a analogy to entropy??? Correct me if I am wrong.
One of Betza's could be adapted to that, http://www.chessvariants.org/diffmove.dir/feeble.html, by progressively weakening to what Betza determines already as the weakest, lowest energy state. Subvariant: Feeble Physics. In Big Outer, http://www.chessvariants.org/large.dir/contest/bigouter.html, the pieces progressively weaken concentrically-bound toward the centre. (neither for entropy)
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