Board Games Throughout The History And Multidimensional Spaces


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Board Games: Throughout The History And Multidimensional Spaces


Board Games: Throughout The History And Multidimensional Spaces

Author: Jorma Kyppo

language: en

Publisher: World Scientific

Release Date: 2019-07-08


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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.

Board Games


Board Games

Author: Jorma Kyppö

language: en

Publisher:

Release Date: 2018


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"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"--

Polynomial One-cocycles For Knots And Closed Braids


Polynomial One-cocycles For Knots And Closed Braids

Author: Thomas Fiedler

language: en

Publisher: World Scientific

Release Date: 2019-08-27


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Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under 'higher' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.