On the Hyperbolic Plane and Chinese Checkers
نویسنده
چکیده
Chinese checkers is a game played on a hexagonal grid. This regular hexagonal tesselation is an artifact of Euclidean geometry that provides a fair playing eld only for games of two, three, four or six players. Hyperbolic geometry allows tessallations of the plane by regular polygons with any number of sides. Hyperbolic versions of the chinese checkers board permit fair games with ve, seven and even more players.
منابع مشابه
An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach
The aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. In [1], Ungar and Chen showed that the algebra of the group $SL(2,mathbb C)$ naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the Lorentz group and its underlying hyperbolic geometry. They defined the Chen addition and then Chen model of hyperbolic geomet...
متن کاملBUCKLING ANALYSIS OF FUNCTIONALLY GRADED MINDLIN PLATES SUBJECTED TO LINEARLY VARYING IN-PLANE LOADING USING POWER SERIES METHOD OF FROBENIUS
In this paper, buckling behavior of moderately thick functionally graded rectangular plates resting on elastic foundation subjected to linearly varying in-plane loading is investigated. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. Based on the first-order shear deformation plate theory and the neutral s...
متن کاملنگرانی و رابطه آن با زیرمجموعه های وارسی و شستشوی اختلال وسواسی ـ اجباری
The aim of this research was to study worry and emotional processing indicators in individuals with OCD and to compare the checking and washing subtypes of this disorder. Sixty individuals with OCD (30 checkers and 30 washers) and 60 individuals as control (30 anxious and 30 normal) were selected and were matched in demographic characteristics with the checker group. The OCD were interviewed us...
متن کاملA proposal for a Chinese keyboard for cellphones, smartphones, ipads and tablets
In this paper, we investigate the possibility to use two tilings of the hyperbolic plane as basic frame for devising a way to input texts in Chinese characters into messages of cellphones, smartphones, ipads and tablets.
متن کاملThe shortest game of Chinese Checkers and related problems
In 1979, David Fabian found a complete game of two-person Chinese Checkers in 30 moves (15 by each player). This solution requires that the two players cooperate to generate a win as quickly as possible for one of them. We show, using computational search techniques, that no shorter game is possible. We also consider a solitaire version of Chinese Checkers where one player attempts to move her ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007