Board Games:Throughout The History and Multidimensional Spaces

图书简介

In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of the famous Cretan Phaistos Disk. Descriptions of several chess variations, including some highlights of the game theory and tiling in different dimensions, are followed by a multidimensional symmetrical n-person strategy game model, based on chess. Final chapter (Concluding remarks) offers the new generalizations of the Euler-Poincare’s Characteristic, Pi and Fibonacci sequence. Key Features: ○ Versatility, inspiration, innovations: From history to mathematics and game theory ○ The book offers ten different new hypotheses related to both, the mathematics and history

Game Theory and N-Person Games; Tiling in Different Dimensions; Schläfli Symbol; Honeycombs; Kissing Number; Packing Problems; The History and Prehistory of Chess; Mehen, An Ancient n-Person Game; The Royal Game of Ur; Ashtapada; Hnefatafl, Latrunculi and Petteia; Go and Liubo; Konane; Chaturaji, the Four-Person Chaturanga; Xiangqi, Chinese Chess; Shogi, the Japanese Chess; Evolution of Chess; Was the Phaistos Disk a Game?; Later Chess Variations; Ancient N-Handed Chess Games; Seven Armies Game; Marinelli’s Three-Handed Chess; A Hexagonal Three-Person Chess by Siegmund Wellisch; Basic Model of Universal Chess; Trichess; Chess without a Board; Extensions of Universal Chess; Extensions of Chess on Large Square Boards; The Extension to Dimension N; Symmetric N-person Chess; A Model Based on the Multinomial Formula; Embedding Chess in the Simplex Platform; The Symmetric 4-Player Model on 3-Simplex Board; Symmetric 5-Player Model on 4-Simplex Board; The Symmetric 6-Player Model on 5-Simplex Board; Symmetric n-Player Model on (n–1)-Simplex Board; Multi-Simplex Chess; Concluding Remarks; The Number of a Graph; Strategy Networks of Small Chess-Like Games; Generalization of Euler – Poincaré Characteristic; Odd and Even Euclidean Dimensions; Generalized Pi; Generalizations of the Fibonacci Sequence

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Board Games:Throughout The History and Multidimensional Spaces（Series on Knots and Everything） 棋盘游戏：纵观历史和多维空间 数学史

Board Games:Throughout The History and Multidimensional Spaces（Series on Knots and Everything）

棋盘游戏：纵观历史和多维空间
数学史