Abstract
The subject of this paper is introduction of invent and upgrade chess as a Complex mathematics model simulating ancient city attack and defend war. Upgrade chess is development to traditional chess and giving up traditional chess game's imperfection. The design ideas of upgrade chess based on Chinese traditional TaiJi philosophy concerning Yin and Yang, and combine western dialectics and structuralism philosophy: the various elements of the chess including pieces and chessboard form organic connection system for both sides checkking each other and mutual competion. Upgrade chess is "mental gymnastics" and "chess football", as well as a extremely challenging mathematical problems. Upgrade chess as software can provide intelligent control for various cultural industries, e.g., can be applied to sports competition, online games, cultural entertainment, sports related handicrafts, media coverage industry and so on. Thus it has potential to form large scale economic benefits.
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